4. Consider the linear program in Problem 3. The value of the optimal solution is 48. Sup-pose that the right-hand side for constraint 1 is increased from 9 to 10.Use the graphical solution procedure to find the new optimal solution.Use the solution to part (a) to determine the shadow price for constraint 1.The sensitivity report for the linear program in Problem 3 provides the following right-hand side range informationa.b.C.AllowableConstraintR.H. SideAllowableIncreaseConstraintDecrease2.0004.0001.000Infinite9.00010.00018.0002.8.0004.000What does the right hand side range information for constraint 1 tell vou about theshadow price for constraint 1?d.The shadow price for constraint 2 is 3. Using this shadow price and the right handside range information in part (C), what conclusion can be drawn about the effect ofchanges to the right-hand side of constraint 2?

Linear Programming :- Linear programming (LP, also called linear optimization) could be a method…

Answered: 4. Consider the linear program in…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

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The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
PRICING SUITS AT SULLIVANS Sullivans is a retailer of upscale mens clothing. Suits cost Sullivans 320. The current price of suits to customers is 350. which leads to annual sales of 300 suits. The elasticity of the demand for mens suits is estimated to be 2.5 and assumed to be constant over the relevant price range. Each purchase of a suit leads to an average of 2.0 shirts and 1.5 ties being sold. Each shirt contributes 25 to profit, and each tie contributes 15 to profit. Determine a profit-maximizing price for suits. In the complementary-product pricing model in Example 7.3, we have assumed that the profit per unit from shirts and ties is given. Presumably this is because the prices of these products have already been set. Change the model so that the company must determine the prices of shirts and ties, as well the price of suits. Assume that the unit costs of shirts and ties are, respectively, 20 and 15. Continue to assume that, on average, 2.0 shirts and 1.5 ties are sold along with every suit (regardless of the prices of shirts and ties), but that shirts and ties have their own separate demand functions. These demands are for shirts and ties purchased separately from suit purchases. Assume constant elasticity demand functions for shirts and ties with parameters 288,500 and 1.7 (shirts), and 75,460 and 1.6 (ties). Assume the same unit cost and demand function for suits as in Example 7.3. a. How much should the company charge for suits, shirts, and ties to maximize the profit from all three products? b. The assumption that customers will always buy, on average, the same number of shirts and ties per suit purchase, regardless of the prices of shirts and ties, is not very realistic. How might you change this assumption, and change your model from part a accordingly, to make it more realistic?
Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?
Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?
If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.
The Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Calculate the total cost per unit of purchasing from Original Wire.
The Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Calculate the total cost per unit of purchasing from Happy Lucky Assemblies.
The Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Based on the total cost per unit, which supplier should Sheila recommend?
The Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Are there any other issues besides cost that Sheila should evaluate?

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