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- W7 Q5 A paper published in the Harvard Business Review points out a new way to calculate economic profit that could be more appropriate for service firms and other people-intensive companies. Instead of focusing on investment and return on investment, the focus is on employee productivity, in terms of both generating revenues and reducing costs. The approach is to first determine economic profit in the conventional way, except that we ignore taxes, so that economic profit is before tax, as follows: Economic profit = Operating profit − Capital charge Assume the following information for a hotel chain that wishes to adopt the new method. The firm has $100 million in operating profit, has $1 billion in investment, and uses a cost of capital rate of 5%, so the capital charge is $50 million and the economic profit is $50 million. Relevant calculations are contained in Part 1 of the following schedule: Part 1: Economic Profit (in thousands, except cost of capital rate) Revenue…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 nowA marginal profit curve equation is : MP= −2Q^2 + 160Q + 2145. You are required to determine the level of production, or range of production at which the company will have:(i) An increasing returns to scale(ii) A decreasing returns to scale (iii)A negative returns to scale (iv) Its maximum profit
- Tesla estimates that its profit expressed in thousands of dollars each month is given by the expression: -6q^2 + 30q + 3210 where q (in thousands) is the number of cars produced and sold in a month. Determine the following: a. If Tesla's cost function is C(q) = 3210, state Tesla's variable cost per car. B.If Tesla wishes to make a profit greater than $2,910,000, calculate and state the interval of value(s) for which this goal can be achieved.Sergio 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.Modified True or False: State whether each statement is true or false. If the statement is false, briefly explain why it is so, and then restate it to make it true. Zero economic profit implies zero accounting profit.
- Assume that you are managing an electric utility that must minimize the cost of producing the electricity demanded by your customers. Derive and interpret the decision rule that you must employ.Suppose the JJJ Corporation has a cost function of y = 9000x + 180,000 and a revenue of y = 11,000x . What is the BEP of the JJJ Corp.? (USE Excel)Suppose a company's revenue function is given by R(q)=−q3+400q2R(q)=-q3+400q2 and its cost function is given by C(q)=550+12qC(q)=550+12q, where qq is hundreds of units sold/produced, while R(q)R(q) and C(q)C(q) are in total dollars of revenue and cost, respectively.A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q)=MP(q)= B) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)
- Given the following total revenue (TR) and total cost (TC) functions for a firm, write down the firm’s profit function. Determine the level of output the firm should produce in order to maximize profits by using the first-order condition. Confirm that this quantity represents maximum profits by using the second-order condition.TR=4000Q−33Q2TC=2Q3−3Q2 +400Q+5000Suppose the short-run cost function of Tyrell Corporation is c=5000+100q+8q2 a. Find the level/s of q that satisfies/satisfy the first-order and second-order conditions for the minimisation of Tyrell’s average cost(ac) Show that average cost ( ac) equals marginal cost (mc) at the level/s of obtained in (a)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?…