PROBLEM A Kelson Sporting Equipment, Inc. makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in the cutting and sewing department, 300 hours available in the finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given following table: the Model Production Time (Hours) Profit/Glove Cutting & Sewing Packaging & Shipping Finishing Regular Model 1 1/2 1/8 P5 Catcher's Model 3/2 1/3 1/4 P8 Assuming that the company is interested in maximizing the total profit contribution, answer the following requirements: 1. Develop the objective and constraints functions 2. Plot in a graph the constraint functions and identify the feasible region. 3. Find the optimal solution. How many gloves of each model should Kelson produce? 4. What is the total profit contribution that Kelson can earn with the given production quantities?
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- 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?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.
- XYZ Leather Company manufactures and sells two products, wallets and belts, in its two-department plant. Operating data pertaining to the two products are as follows: Wallets Belts Selling price per unit P30 P50 Cost per unit: Variable manufacturing costs P8 P15 Variable marketing costs P2 P3 Fixed manufacturing costs P5 P5 Fixed marketing costs P6 P1 Cutting Finishing…QuestionByron Sports is a manufacturer of sportswear. It produces all of its products in one department using a process costing system.The information for the current month is as follows:Beginning work in process (30% complete as to conversion cost) 12,000 unitsUnits started 90,000 unitsUnits completed and transferred out ?Ending work in process (70% complete as to conversion) 8,000 unitsCosts:Beginning work-in-process direct materials $28,800Beginning work-in-process conversion $5,040Direct materials added during month $216,000Conversion costs incurred during the month $139,200Direct materials are added at the beginning of the process. Conversion costs are incurred uniformlythroughout the production process. Costing is handled on a FIFO basis Required:a. Prepare a production cost worksheet using 5 steps approach.b. Under what conditions would a process costing system be more appropriate than a job order costing system? Explain.1. Foxie Owl’s Besty Bagel shop makes fresh bagels. She has to buy raw materials fresh every day for selling on that day. She wants to know exactly how much should she spend on raw materials. Foxie did some analysis over the past month and came back with the following numbers: Daily demand was equally likely to be 200, 225, 250, 275, or 300 bagels. What should be the number of bagels on hand to satisfy a Fill Rate requirement of 96%, rounded to next integer value? Group of answer choices 300 275 286 263 2. Suppose that instead of a discrete demand distribution, Foxie’s shop determines that the daily demand for bagels is normally distributed, with a mean of 250 and a standard deviation of 35. Foxie still wants a Fill Rate of 98%. What is the appropriate level of on-hand inventory for Foxie’s shop? Group of answer choices 263 274 257 270
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