You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 1 cup of cream. Into each quart of Continental Mocha go 4 eggs and 1 cup of cream. You have in stock 1600 eggs and 600 cups of cream. Draw the feasible region showing the number of quarts of vanilla and number of quarts of mocha that can be produced. (Place Creamy Vanilla on the x-axis and Continental Mocha on the y-axis.)
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Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 1 cup of cream. Into each quart of Continental Mocha go 4 eggs and 1 cup of cream. You have in stock 1600 eggs and 600 cups of cream. Draw the feasible region showing the number of quarts of vanilla and number of quarts of mocha that can be produced. (Place Creamy Vanilla on the x-axis and Continental Mocha on the y-axis.)
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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.1. Power Notebooks, Inc. plans to manufacture a new line of notebook computers. Management is trying to decide whether to purchase the LCD screens for the computers from an outside supplier or to manufacture the screens in-house. The screens cost $100 each from the outside supplier. To set up the assembly process required to produce the screens in-house would cost $100,000. The company could then produce each screen for $75. The number of notebooks that eventually will be produced (Q) is unknown at this point. a. Set up a spreadsheet that will display the total cost of both options for any value of Q. Use trial-and-error with the spreadsheet to determine the range of production volumes for which each alternative is best. b. Use a graphical procedure to determine the break-even point for Q (i.e., the quantity at which both options yield the same cost). 2. Back Savers is a company that produces backpacks primarily for students. They are considering offering some combination of two…Q46 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.
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