0592 92 ) An electronic manufacturing firm has the profit function P(x) ++x2 -20 x 92x 20 20 20,and revenue function R(x)%=DAX³ - Bx2 - dX + AD, for x items produced and sold as | output. a. Calculate the average cost for 1200 items produced and sold. b. Calculate the marginal cost when produced 800 items.
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- Please no written by hand and no emage Suppose that a company that makes and sells hand-crafted artwork has a cost function C(x) = 24x + 300, where x is the number of items made, and a revenue function R(x) = 45x, where x is the number of items sold. What is the profit from the 28th item made and sold? There is a $ sign listed next to the answer box, so do not type a $ sign in your answer.Consider the details of 3 firms. If the price of the product is Rs.48, find the output that has to be produced to make a profit of Rs.84,000/- A B C Total Fixed Cost(TFC) 11200 16000 21600 Average Variable cost(AVC) 20 16 12Sergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.
- A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down?PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. (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?…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 now
- 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)MonoMed, having a Patent on production of a medicine, has following Demand and Cost Schedule : Price (Rs ) 12 11 10 9 8 7 6 5 4 3 Quantity 0 1 2 3 4 5 6 7 8 9 TVC ( Rs ) 0 13 16 20 25 31 38 46 56 68 Where Fixed Cost is Rs 5 B. Plot the Demand, Marginal Revenue MR, Average Total Cost ATC, Average Variable Cost AVC and Marginal Cost MC Curves of the Firm in a clearly labelled graph.A man managing a restaurant for $20,000 per year decides to open his own diner. His revenue during the first year of operation is $110,000, and his expenses are as follows: Salaries, $55,000; Supplies $11,000; Rent, $9,000; and Utilities, $1,500. He financed the diner with a loan of $70,000 at a 5% interest rate. Calculate: a. explicit costs b. implicit costs c. business profit d. economic profit
- PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. 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?Let a linear cost function C(x) = 21.95 + 1400 and a linear revenue function R(x) = 20x. What is the marginal cost? What is the marginal revenue? Write the profit function P(x). What is the marginal profit?Shakti Inc. has been granted a patent for its arnica toothache balm. The table to the right shows the demand and the total cost schedule for the firm. What is Shakti's profit minus maximizingoutput? A. 4 units B. 6 units C. 7 units D. 5 units Price per dose (Dollars) Quantity Demanded (Dose) Total Cost of Production (Dollars) $80 0 $80 72 1 82 64 2 88 56 3 100 48 4 124 40 5 164 32 6 208 24 7 268 16 8 340