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- JYour business has the capacity to produce up to 5 units/week. The table & graph below show average cost (AC) for different weekly production levels. Your objective is to maximize profit each week. Average Cost 22 20 AC 18 1 20 14 2 15 12 3 12 10 1 2 4 4 13 Quantity 15 Your product sells in the market for $21/unit, and you can sell as many units at that price as you can bring to market. You know from your economics training that deciding how much to produce should rely on marginal concepts like marginal cost (MC). So, based on the AC table above, create a table that shows the MC of each unit. (Assume that there are no fixed costs, so total costs are zero if Q=0.) Based on MC for each unit, determine the profit-maximizing quantity to produce and sell. BRIEFLY explain your answer. (Your answer needs to be based on MC and being able to sell each unit for $21.) AC ($/unit)Suppose that total unit sales of iPhones and Android phones depends on both Apple’s and Google’s advertising expenditures: Google Advertise Don’t Apple Advertise 100, 100 120, 60 Don’t 60, 120 80, 80 To find the firm’s profits from the sales figures, assume that the price is $30, that the marginal cost is $20, and that the fixed cost of advertising is $300. (a) Fill in the profits in the following simultaneous-move game: Google Advertise Don’t Apple Advertise ? ? Don’t ? ? (b) What is the Nash equilibrium of the game? What strategies result in thehighest industry profits? Explain in words why the firms don’t choosethose strategies?13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.1x+ 60 where x is the number of sticks produced and sold. The profit is - $1000 when 50 sticks have been produce and sold. a) Find the profit function. b) What level of production of pogo sticks (x) produces a maximum profit?
- V See Hint Suppose that Juan sells burritos. The total cost of production, based on the number of burritos produced, is shown in the following table. Number of burritos Total cost ($) 1. 8) 2. 10 3) 13 4. 18 25 34 7. 45 Suppose that the price is $6. Assuming profit maximization, how many burritos will Juan sell? asopdne17. Here are the expenses for your silk-screened T-shirt business: $5 for each plain T-shirt and $3 per T-shirt for ink, other supplies, and the cost of silk screening. You sell the T-shirts for $10 each. Calculate the economics of one unit of sale. What is the percentage of profit based on price?7) What is total fixed cost at the profit-maximizing quantity?
- 3. Johnny Rockabilly has just finished recording his latest CD. His record company's marketing department determines that the demand for the CD is as follows: Price Number of CDs $24 10 000 22 20 000 20 20 30 000 18 40 000 16 50 000 14 60 000 The company can produce the CD with no fixed cost and a variable cost of $5 per CD. a. Find total revenue for quantity equal to 10 000, 20 000, and so on. What is the marginal revenue for each 10 000 increase in the quantity sold? b. What quantity of CDs would maximize profit? What would be the price? What would be the profit? c. If you were Johnny's agent, what recording fee would you advise Johnny to demand from the record company? Why?You have the following data for product X: sales revenue $14,000, allocated fixed costs $12,000, variable costs $20,000. You cannot increase the price of product X or improve the production process to increase profitability. What should you do about product X? O do nothing - unprofitable products are just one of the costs of doing business O keep the product both in the short term and in the long term O keep the product in the short term and drop it in the long term drop the product both in the short term and in the long term O drop the product in the short term and keep it in the long termA7 You are the manager of a bakery that produces and packages gourmet muffins, and you currently sell muffins in packages of 3. A consultant’s report has estimated the (inverse) demand of a typical consumer to: P = 3 − 0.5Q If your cost of producing bran muffins is C(Q) = Q: (a) What is the marginal cost of muffins? (b) Draw the demand and marginal cost on a diagram. (c) Determine the optimal number of muffins to sell in a single package. (d) What price should the firm charge for each park?
- 5. Demand functions are X-100-Px and Y=152-2Py Total Cost is C-6x2 + 4y2 +4xy + 110, Optimize the profit using two variable regular optimization formula.operating in this market. PRICE (Dollars per oven) 100 90 80 70 60 50 40 30 20 10 0 0 5 MC ATC Z AVC 10 15 20 25 30 35 40 QUANTITY (Thousands of ovens) Price (Dollars per oven) 25.00 70.00 100.00 Quantity (Ovens) 45 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 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 graph to see precise information on average variable cost.) 50,000 50 (? Total Revenue Fixed Cost Variable Cost (Dollars) (Dollars) (Dollars) 1,600,000 1,600,000 1,600,000 Profit (Dollars) 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 $1,600,000 per day. In other words, if it shuts down, the firm would suffer losses of…ASKING FIRST TWO: a. State total profit equation and marginal profit for trucks: b. Determine output (Q) to maximize profit for selling Q quantity of trucks. Calculate total profit.