Concept explainers
The Tycron Company produces three electrical products—clocks, radios, and toasters. These products have the following resource requirements:
The manufacturer has a daily production budget of $2000 and a maximum of 660 hours of labor. Maximum daily customer demand is for 200 clocks, 300 radios, and 150 toasters. Clocks sell for $15, radios, for $20, and toasters, for $12. The company desires to know the optimal product mix that will maximize profit.
Formulate and solve a linear programming model for this problem.
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
Additional Business Textbook Solutions
Operations Management: Processes and Supply Chains (11th Edition)
Operations Management: Sustainability and Supply Chain Management (12th Edition)
Operations Management
Business in Action
Business in Action (8th Edition)
Principles of Operations Management: Sustainability and Supply Chain Management (10th Edition)
- 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?arrow_forwardThe 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_forwardAssume 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.arrow_forward
- Please answer A-Darrow_forwardAn international footwear company is dedicated to produce multiple models of shoes depending on the season, but only one of these models is produced all year round, which is Chuck Taylor All-Star high top in black, a shoe whose demand has not changed in recent years. Daily in its factory in China, 20,704 pairs are produced, therefore, 496,896 pairs are produced per month, of which only 495,765 pairs are conforming products. In the month of August 2021 they worked 24 days, with shifts of 8 hours a day, with 45 minutes break for lunch, in the mornings they must warm up machines for 15 minutes before starting production; they work in this way from Monday to Saturday, when they reach 495,000 pairs they make a production review that is carried to the moment; this waiting time takes them about 1 hour and a half. Determine the total number of parts produced per hour during the month of October 2021.arrow_forwardGreen Gardens' owner has asked your advice about a possible problem at his business. Over the last 6 months the large-sized lawn and garden inventory (ie, tables, chairs, planters, etc.) has appeared to be short. The inventory records that employees use to determine what is on hand show that more inventory is available than can actually be located. This has cause frustration and mis-trust in the inventory records for the sales employees. The owner realizes that the problem is bigger than just frustrated employees. He is afraid that inventory is being stolen, a problem he didn't think possible given that these are large items that are not easily moved. Requirements: Provide the owner with two internal controls that he could implement to reduce the likelihood of theft of the lawn and garden inventory.arrow_forward
- Taylor Smith owns a small clothing company, Cuteness for You, that offers an online subscription and personal shopping service targeted at busy families with children aged newborn to five years old. Currently, Taylor has one level of subscription service, the standard service. For $100 a month, the standard service provides its customers a monthly delivery of 10 clothing items carefully chosen to match the child's size, gender, and emerging style. The online clothing subscription market is fairly new but is growing rapidly and thus Taylor is considering extending the product line to increase its market share and profits. Taylor is debating whether to add a premium subscription service featuring profitable high-markup items for $125 per month, a basic subscription service that contains lower-markup popular items priced at $75 per month, or possibly both. Taylor knows that the new product lines provide an opportunity to attract more customers and possibly increase revenues and profit,…arrow_forwardTaylor Smith owns a small clothing company, Cuteness for You, that offers an online subscription and personal shopping service targeted at busy families with children aged newborn to five years old. Currently, Taylor has one level of subscription service, the standard service. For $100 a month, the standard service provides its customers a monthly delivery of 10 clothing items carefully chosen to match the child's size, gender, and emerging style. The online clothing subscription market is fairly new but is growing rapidly and thus Taylor is considering extending the product line to increase its market share and profits. Taylor is debating whether to add a premium subscription service featuring profitable high-markup items for $125 per month, a basic subscription service that contains lower-markup popular items priced at $75 per month, or possibly both. Taylor knows that the new product lines provide an opportunity to attract more customers and possibly increase revenues and profit,…arrow_forwardTaylor Smith owns a small clothing company, Cuteness for You, that offers an online subscription and personal shopping service targeted at busy families with children aged newborn to five years old. Currently, Taylor has one level of subscription service, the standard service. For $100 a month, the standard service provides its customers a monthly delivery of 10 clothing items carefully chosen to match the child's size, gender, and emerging style. The online clothing subscription market is fairly new but is growing rapidly and thus Taylor is considering extending the product line to increase its market share and profits. Taylor is debating whether to add a premium subscription service featuring profitable high-markup items for $125 per month, a basic subscription service that contains lower-markup popular items priced at $75 per month, or possibly both. Taylor knows that the new product lines provide an opportunity to attract more customers and possibly increase revenues and profit,…arrow_forward
- Taylor Smith owns a small clothing company, Cuteness for You, that offers an online subscription and personal shopping service targeted at busy families with children aged newborn to five years old. Currently, Taylor has one level of subscription service, the standard service. For $100 a month, the standard service provides its customers a monthly delivery of 10 clothing items carefully chosen to match the child's size, gender, and emerging style. The online clothing subscription market is fairly new but is growing rapidly and thus Taylor is considering extending the product line to increase its market share and profits. Taylor is debating whether to add a premium subscription service featuring profitable high-markup items for $125 per month, a basic subscription service that contains lower-markup popular items priced at $75 per month, or possibly both. Taylor knows that the new product lines provide an opportunity to attract more customers and possibly increase revenues and profit,…arrow_forwardRevenue Management / Yield Management is used when the following conditions exist: Uncertainty in demand and customer behavior (no-show, cancellation) + non-perishable goods Uncertainty in demand and customer behavior + backordering allowed Fixed Capacity + Perishable Inventory (hence, opportunity cost) + Advanced Booking (or sales) None of the abovearrow_forwardWestern Chassis produces high-quality polished steel and aluminum sheeting and two lines ofindustrial chassis for the rack mounting of Internet routers, modems, and other telecommunicationsequipment. The contribution margin (contribution toward profit) for steel sheeting is $0.40 per poundand for aluminum sheeting is $0.60 per pound. Western earns $12 contribution on the sale of aStandard chassis rack and $15 contribution on a Deluxe chassis rack. During the next productioncycle, Western can buy and use up to 25,800 pounds of raw unfinished steel either in sheeting or inchassis. Similarly, 20,400 pounds of aluminum are available. One standard chassis rack requires 16pounds of steel and 8 pounds of aluminum. A Deluxe chassis rack requires 12 pounds of each metal.The output of metal sheeting is restricted only by the capacity of the polisher. For the next productioncycle, the polisher can handle any mix of the two metals up to 4,000 pounds of metal sheeting. Chassismanufacture can be…arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning