Consider a company with the following price P and cost function C: P = 500 - 0.2y; C y-28y + 48000. Determine the optimal price P, output y and profit n*. %3D
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- PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. a- Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC b- Given above costs can you determine what will be the firm’s production in Stage 1? c- What is the breakeven price and breakeven quantity for this firm?Q2.The management of an ‘Electronic Goods’ manufacturing company asked you to give an advice about changing its current production plan, given the following information:- Annual production plan of computers is 4200 computers.- Total cost of production is OMR 824000.- Fixed cost is OMR 320000.- Revenue function: R = 460.2Q – 0.05Q2 1-Use the above information to formulate the price function and the total cost function, and determine the following: 1) Profit-maximizing quantity.2) Profit-maximizing price.3) Maximum profit value.4) Revenue-maximizing quantity. 2-Should the company change its current annual production plan of computers in order to maximize its profit?What is the profit maximization for apex firm if we have the following data quantitiy /unit ={0,1,2,3,4,5,6,7,8,9,10} total variable cost =[0,100,180,220,300,390,500,640,800,1000,1250} 2. If the market price dropped to $80, what is the profit-maximizing level of output? What is Apex’s profit (or loss) in this case?3. If the market price dropped further to $40, what is the profit-maximizing level of output? What is Apex’s profit (or loss) in this case?4. Comment on your answers to parts (2) and (3)
- A perfect competitive firm estimates her cost function as given below: C = 100 + 5Q2a. What is the firm’s fixed and marginal cost?b. If all other firms in the market sell the product at a price ¢20. How much should thisfirm charge for the product?c. What is the optimal level of output to maximize profits?d. How much profit will be earned?e. In the long run should this firm continue to produce or shut down? WhyFor a company with (inverse) demand function P = 4,510 - 55Q and cost function C = 88,000 + 660Q, let QR, QU, and QP denote, respectively, the quantities that maximize revenue, per-unit profit, and overall profit. Which of the following statements is true?A. QU > QP > QRB. QP > QU > QRC. QU > QR > QPD. QR > QU > QPPakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. (i) Write the equations of the firm’s costs, as a function of Q (ii) Average Total Cost ATC (iii) Average Variable Cost AVC (iv) Average Fixed Cost AFC a. Given above costs can you determine what will be the firm’s production in Stage 1? What is the breakeven price and breakeven quantity for this firm? b. What is the shutdown price and quantity for this firm? c. Draw the firm’s costs in a graph as per your determination in (a). Label the breakeven and shutdown price and quantity using information in (b) and (c) above. d. Given the market price of Pak$ 50 (i) how many units should the firm produce? (ii) how many firms are competing in this market in short-run? (iii) How many firms will be in the industry in the long-run? e. How do you interpret the profit or loss condition of PakPerfect?…
- for a firm with price in excess of average total cost, the presence of ecomonics profits implies that the firm should increase output in the short runeven if the price is below marginal cost . true or false explainHabib Bank Limited estimates equation of demand of its product as: Q = 55 – 0.5P - (where P = price and Q = Quantity of output), and its total cost of production as TC = 20 + Q + 0.2Q2 Where TC = total cost and Q = Quantity of output) Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC? Average Variable Cost AVC? Average Fixed Cost AFC.? Marginal Cost MC? The output level that will maximize total profit and the amount of revenue and profit that Habib Bank would receive at optimal level of production.? The output level that minimizes average total cost.? please answer all questionsBased on the following table: Output Price($) Total Costs($) 0 10 31 1 10 40 2 10 45 3 10 48 4 10 55 5 10 65 6 10 80 7 10 100 8 10 140 9 10 220 10 10 340 a. What is the profit-maximizing output? units
- derivative of the firm's profit function is F′(x) = −0.03x2 + 3x - 100, where x ≥ 0 is the output level. How should the company operate now1- Suppose that the total cost function of a firm is given as follows;TC = 500 + 2Q2And the price of the firm’s product is determined by the market equilibrium at $100.a- Set the profit maximizing condition . Find the profit maximizing output level for this firm .b- What is the total revenue ?c- What is the total cost ?d- What is the profit earned by the firm ?e- Illustrate your answer by using a well-labeled graph .f- Denote the break even price level with Pb on the same graph .g- Denote the shut down price level with Ps on the same graph.h- Show the firm’s supply curve on the same graph .i- Does the firm function in short-run or long-run ? Why ?A manufacturing firm faces the cost of production as follows : Quantity Total Fixed Costs Total Variable Costs 0 $ 100 0 1 $ 100 $ 40 2 $ 100 $ 60 3 $ 100 $ 80 4 $ 100 $ 130 5 $ 100 $ 190 6 $ 100 $ 350 (a) Calculate the company's average fixed costs, average variable costs, average total costs,, and marginal costs at each level of quantity larger than zero (b) Suppose the price of the firm's product is $ 90, what is the firm's optimal production quantity? What is the firms profit under this quantity?