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2-22 A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price-demand relationship for this product is P-0.25D 250, where P is the unit sales price of the product and D is the annual demand. Total cost Fixed cost + Variable cost Revenue Demand x Price e Profit Revenue-Total cost Set up your graph with dollars on the y axis (between 0 and $70,000) and, on the x axis, demand D: (units produced or sold), between 0 and 1000 units. (a) Develop the equations for total cost and total revenue (b) Find the breakeven quantity. (c) What profit is earned if total revenue is maximized? (d) What is the companys maximum possible profit? (e) Graph the solutions to each part.

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50000 40000 TC 0 0 50 460 500 870 1000 demandD

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