Concept explainers
a)
To determine: The daily dessert plan that stays with her constraints and minimizes the total taste index using solver.
Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.
b)
To draw: The daily desserts plan which would minimize the total taste index and stays within her constraints.
Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.
c)
To determine: The way optimal plan varies when the calorie varies.
Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.
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Chapter 3 Solutions
Practical Management Science
- 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.arrow_forwardMonica Britt has enjoyed sailing small boats since she was 7 years old, when her mother started sailing with her. Today, Monica is considering the possibility of starting a company to produce small sailboats for the recreational market. Unlike other mass-produced sailboats, however, these boats will be made specifically for children between the ages of 10 and 15. The boats will be of the highest quality and extremely stable, and the sail size will be reduced to prevent problems of capsizing. Her basic decision is whether to build a large manufacturing facility, a small manufacturing facility, or no facility at all. With a favourable market, Monica can expect to make R90,000 from the large facility or R60,000 from the smaller facility. If the market is unfavourable, however, Monica estimates that she would lose R30,000 with a large facility and she would lose only R20,000 with the small facility. Because of the expense involved in developing the initial moulds and acquiring the…arrow_forwardMonica Britt has enjoyed sailing small boats since she was 7 years old, when her mother started sailing with her. Today, Monica is considering the possibility of starting a company to produce small sailboats for the recreational market. Unlike other mass-produced sailboats, however, these boats will be made specifically for children between the ages of 10 and 15. The boats will be of the highest quality and extremely stable, and the sail size will be reduced to prevent problems of capsizing. Her basic decision is whether to build a large manufacturing facility, a small manufacturing facility, or no facility at all. With a favourable market, Monica can expect to make R90,000 from the large facility or R60,000 from the smaller facility. If the market is unfavourable, however, Monica estimates that she would lose R30,000 with a large facility and she would lose only R20,000 with the small facility. Because of the expense involved in developing the initial moulds and acquiring the…arrow_forward
- A company is operating in two unrelated businesses. The first one is making common salt, which is sold in one kilogram consumer packs. The second business is making readymade garments. The owner of the businesses has decided to implement Materials Requirement Planning (MRP) in one of the two businesses, which is likely to give him greater benefit. Assuming that the current turnover and profits of both the units are comparable, compare the relative benefits and limitations of Materials Requirement Planning (MRP) for these two businesses.arrow_forwardRajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…arrow_forwardLong-Life Insurance has developed a linear model that it uses to determine the amount of term life Insurance a family of four should have, based on the current age of the head of the household. The equation is: y=150 -0.10x where y= Insurance needed ($000) x = Current age of head of household b. Use the equation to determine the amount of term life Insurance to recommend for a family of four of the head of the household is 40 years old. (Round your answer to 2 decimal places.) Amount of term life insurance thousandsarrow_forward
- On Monday evenings in April 2015, each episode of WWE Entertainment was typically watched by 3.8 million viewers, while each episode of American Dad was typically watched by 1.5 million viewers.† Your marketing services firm has been hired to promote Gauss Jordan sneakers by buying at least 30 commercial spots during episodes of WWE Entertainment and American Dad. You have been quoted a price of $4,000 per spot for WWE Entertainment and $1,000 per spot for American Dad. Gauss Jordan, Inc.'s advertising budget for TV commercials is $130,000, and it would like at least 75% of the total number of spots to appear on WWE Entertainment. How many spots should you purchase on each show to maximize exposure? HINT [Calculate exposure as Number of ads ✕ Number of viewers.] (If an answer does not exist, enter DNE.) WWE ______ Spots American Dad _______ spotsarrow_forwardGrass MixMix RequirementsWrigleyNo more than 50% tall fescue At least 20% mustang fescuePastureAt least 30% bluegrass At least 30% mustang fescue No more that 20% tall fescueDuroTurfAt least 50% but no more than 70% tall fescue At least 10% bluegrass Ed's Feed and Seed creates three custom grass mixes it sells in their retail stores. These mixes are made from three types of seed they purchase from a supplier: tall fescue, mustang fescue, and bluegrass. Requirements for the custom mixes are in the table at the left. Ed's want to produce 1200 lbs of the Wrigley Mix,900 lbs of the Pasture Mix, and 2400 lbs of the DuroTurf Mix for the coming growing season. Ed's costs for the purchased seeds are $1.70/lb for tall fescue, $2.80/lb for mustang fescue, and $3.25 for bluegrass.Ed wants to know how many pounds of each seed type to purchase to minimize cost. Create a spreadsheet model and use Solver to determine how much seed of each type to purchase. Write a sentence to summarize the…arrow_forwardSales The Marketing Club at your college has decided to raise funds by selling three types of T-shirt: one with a single-color "ordinary" design, one with a two-color "fancy" design, and one with a three-color "very fancy" design. The club feels that it can sell up to 320 T-shirts. "Ordinary" T-shirts will cost the club $6 each, "fancy" T-shirts $8 each, and "very fancy" T-shirts $10 each, and the club has a total purchasing budget of $3,200. It will sell "ordinary" T-shirts at a profit of $2 each, "fancy" T-shirts at a profit of $5 each, and "very fancy" T-shirts at a profit of $2 each. How many of each kind of T-shirt should the club order to maximize profit? "ordinary" T-shirt(s)"fancy" T-shirt(s)"very fancy" T-shirt(s) What is the maximum profit the club can make?arrow_forward
- A company makes parts that cost $35.00 in material and labor. 92% of the parts are produced defect free and are sold for full price at $110 each. 2% of the parts made must be scrapped. Scrap parts are sold for $8.00 each. The remaining 6% of the parts made must be reworked at a cost of $12.00 each. After rework 1% still must be scrapped and the other 5% is sold at a discounted price of $90 each. a. Draw the tree diagram showing the quality cost situation. b. Determine the earnings per part. c. Determine the cost of poor quality (COPQ). d. Determine the earnings per part and COPQ if the rework operation was shut down and the parts that required reworking were just sold for scrap instead.arrow_forwardAn analyst has started preparing a spreadsheet as shown below. Column A contains the headings for various parameters and Column B contains the analyst's range names to be used in Excel. A B 1 Price per Unit 2 Cost per Unit 3 Profit per Unit PricePerUnit Cost_Per_Unit Profit per Unit 4 5 Fixed Costs Fixed_Costs 6 Variable Costs Variable Costs Label each of the following range names as "Correct" if is a valid range name in Excel or "Incorrect" if the range name is not valid for use in Excel. Proposed Range Name PricePerUnit Cost Per_Unit Profit per Unit Fixed_Costs Variable Costsarrow_forwardTrips Logistics, a third-party logistics firm that provides warehousing and other logistics services, is facing a decision regarding the amount of space to lease for the upcoming three-year period. The general manager has forecast that Trips Logistics will need to handle a demand of 100,000 units for each of the next three years. Historically, Trips Logistics has required 1,000 square feet of warehouse space for every 1,000 units of demand. For the purposes of this discussion, the only cost Trips Logistics faces is the cost for the warehouse. Trips Logistics receives revenue of $1.22 for each unit of demand. The general manager must decide whether to sign a three-year lease or obtain warehousing space on the spot market each year. The three-year lease will cost $1 per square foot per year, and the spot market rate is expected to be $1.20 per square foot per year for each of the three years. Trips Logistics has a discount rate of k = 0.1.arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,