Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Lady-Sport model is slightly larger, uses a more traditional engine, and is specifically designed to appeal to women riders. Embassy produces the engines for both models at its Des Moines, Iowa plant. Each EZ-Rider engine requires 6 hours of manufacturing time, and each Lady-Sport engine requires 3 hours of manufacturing time. The Des Moines plant has 2,100 hours of engine manufacturing time available for the next production period. Embassy's motorcycle frame supplier can supply as many EZ-Rider frames as needed. However, the Lady-Sport frame is more complex and the supplier can only provide up to 320 Lady-Sport frames for the next production period. Final assembly and testing requires 2 hours for each EZ-Rider model and 2.5 hours for each Lady-Sport model. A maximum of 850 hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $2,400 for each EZ-Rider produced and $1,800 for each Lady-Sport produced. Required:
a. Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribution to profit.
b. Which constraints are binding?

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

The third program provides families with $50 in food stamps each week, redeemable for both perishable and nonperishable food. the fourth policy instead provides a family with a box of nonperishable foods each week, worth $50. use two graphs to illustrate that a family may be indifferent between the two programs, but will never prefer the $50 box of nonperishable foods over the $50 in food stamps. state your answer and use a consumer choice model for perishable food and nonperishable food to graphically justify your choice.

Georgia orchards produced a good crop of peaches this year. after preparing the following income statement, the company is concerned about the net loss on its no. 3 peaches. georgia orchards income statement for year ended december 31, 2017 no. 1 no. 2 no. 3 combined sales (by grade) no. 1: 300,000 ibs. @ $1.50/lb $ 450,000 no. 2: 300,000 ibs. @ $1.00/lb $ 300,000 no. 3: 750,000 ibs. @ $0.25/lb $ 187,500 total sales $ 937,500 costs tree pruning and care @ $0.30/ib 90,000 90,000 225,000 405,000 picking, sorting, and grading @ $0.15/ib 45,000 45,000 112,500 202,500 delivery costs 15,000 15,000 37,500 67,500 total costs 150,000 150,000 375,000 675,000 net income (loss) $ 300,000 $ 150,000 $ (187,500 ) $ 262,500 in preparing this statement, the company allocated joint costs among the grades on a physical basis as an equal amount per pound. the company’s delivery cost records show that $30,000 of the $67,500 relates to crating the no. 1 and no. 2 peaches and hauling them to the buyer. the remaining $37,500 of delivery costs is for crating the no. 3 peaches and hauling them to the cannery. required: 1. prepare reports showing cost allocations on a sales value basis to the three grades of peaches. separate the delivery costs into the amounts directly identifiable with each grade. then allocate any shared delivery costs on the basis of the relative sales value of each grade. (do not round intermediate calculations.)