Mixing Company manufactured 2,500 units of its only product during 2022. The inputs for this production are as follows: 550 pounds of Material A at a cost of $2.50 per pound 400 pounds of Material H at a cost of $3.75 per pound 700 direct labor hours at $60 per hour The firm manufactured 3,920 units of the same product in 2021 with the following inputs: 700 pounds of Material A at a cost of $2.20 per pound 560 pounds of Material H at a cost of $3.50 per pound 600 direct labor hours at $58 per hour The partial operational productivity of Material A in 2021 is: Multiple Choice 5.60 units per pound. 0.44 units per pound. 4.67 units per pound. 5.18 units per pound. 0.51 units per pound.

Mixing Company manufactured 2,500 units of its only product during 2022. The inputs for this production are as follows: 550 pounds of Material A at a cost of $2.50 per pound 400 pounds of Material H at a cost of $3.75 per pound 700 direct labor hours at $60 per hour The firm manufactured 3,920 units of the same product in 2021 with the following inputs: 700 pounds of Material A at a cost of $2.20 per pound 560 pounds of Material H at a cost of $3.50 per pound 600 direct labor hours at $58 per hour The partial operational productivity of Material A in 2021 is: Multiple Choice 5.60 units per pound. 0.44 units per pound. 4.67 units per pound. 5.18 units per pound. 0.51 units per pound.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 56P

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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. 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.
4. In the past, Peter Kelle's tire dealership in Baton Rouge sold an average of 1,100 radials each year. In the past 2 years, 220 and 250, respectively were sold in fall, 360 and 300 in winter, 150 and 160 in spring, and 320 and 440 in summer. With a major expansion planned, Kelle projects sales next year to increase to 1,300 radials. Part 2 Based on next year's projected sales, the demand for each season is going to be (enter your responses as whole numbers): Season Demand Fall __________
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The union manufacturing company is producing two types of products a and b. The demand forecasts, batch size, and time standards for Mark 1 operation are as follows: Product A. product B demand forecast (units/yr) 1,000 4,000 batch size (units/batch) 20 10 processing time (hr/unit) 3.2. 4.5 setup time (hr/batch) 10 20 the company works 250 days per yr and operates two shifts, each covering 8 hours. If a 20 percent capacity cushion is maintained how many new Mark 1 machines are required if union does not resort to any short term capacity options?
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Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 If the objective function coefficient for Product_1 were decreased to a value of 3, which of the following would be TRUE? The optimal solution would change. The optimal objective function value would stay the same. Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero).
Northwest Pipe (NP) makes water pipe. NP is planningproduction for the next seven months, March through September.Th e forecast demands (in thousands of feet) are, respectively, 40,60, 70, 80, 90, 100, and 80. NP can make 75,000 feet of pipe permonth using regular-time production, at a cost of $1.25 per foot.Th ey can make up to an additional 15,000 feet using overtimeproduction at a cost of $1.50 per foot. Any pipe made in onemonth and sold in a later month incurs an inventory holding costof $0.15 per foot, per month. NP expects to end February with5000 feet of pipe and would like to plan to end September with10,000 feet in inventory. NP would like to plan their productionschedule to minimize total cost during the next seven months. (a) Formulate an LP to minimize total costs.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolution
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