2. Consider Q(L,K)= KL. Suppose that the unit output price is $12, and the unit labor cost and the unit capital cost are $0.6 and $1.2, respectively. a. Write-out the firm's profit function. b. Find K* and L*. c. Verify that the solution yields maximum profit. d Find 7*
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- Suppose that the fixed cost for a product is $200 and the break-even quantity is 50. find the marginal profit (the slope of the linear profit function) The marginal profit is?3. Consider Q(L,K) = 10L0.5 K0.4. Suppose that the unit output price is $5, and the unit labor cost and unit capital cost are $12 and $40, respectively. The firm's profit function is then g(L,K) = 5Q (L, K) - 12L - 40K. Find the maximum profit.In the short run , a firms total cost is $200 if it does not produce any units of output. Its variable cost is $10 per unit . If the firm produces 5 units , variable costs are ____________, while fixed costs are_____________ a) $20; $200 b)$20; $250 c) $50;$200 d)$50;$250 e) $250;$450
- a) suppose in the short run the amount of machines she has is fixed at 27. How many mixers should she use? How many baklavas will she produce? How much profit will she make? b) using an isoprofit line, as well as the production function, draw a diagram of your solution from a). Carefully label all the slopes and intercepts. c) In the long run, how many mixers should she use? How many machines? How many baklavas will she make?Suppose a firm manufactures coffee makers and sells them for $75$75 each. The costs incurred for production and sale of the coffee makers are $1,000$1,000 plus $13$13 for each coffee maker produced.a. Write the function for monthly total costs C(x)=C(x)= b. What is the fixed cost? c. What is the marginal cost? d. Interpret the marginal cost. Each additional coffee maker made decreases the cost by this many dollars. If the number of coffee makers increases by this amount, the cost increases by $1. Each additional coffee maker made yields this many dollars in cost. If the number of units made is increased by this amount, the cost decreases by $1. e. What is C(300)C(300) ? f. Interpret C(300)C(300) When this many coffee makers are produced the cost is $300300. For every additional coffee maker produced the cost increases by this much. This is the cost (in dollars) of producing 300 coffee makers. For each $1 increase in cost this many more coffee makers can…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.
- Consider Q(L, K) = Kkk. Suppose that the unit output price is $12, and the unit labor cost and the unit capital cost are $0.6 and $1.2, respectively. a. Write-out the firm's profit function. b. Find K* and L*. c. Verify that the solution yields maximum profit. d. Find *.Consider a total cost function TC(Q) = 90 + 40Q +1.5Q^2 for a firm in a competitive market. In this question, you will derive some cost functions and curves. And you are expected to plot them (can be done online or hand drawn). B) Derive MC and ATC. Then draw MC and ATC together and examine if MC passes through ATC at the minimum of ATC. C) Compute the fixed cost FC. D) Based on the curves that you plot in Part B, comment on whether this firm will produce anything when the market price is $50. If not, why? If so, how many outputs Q would a profit-maximizing firm produce (roughly)? What if the market price is $85? E) Based on your answer in Part C, what is the lowest variable profit the firm must be able to make in order for the firm to consider entering the market? Why?Suppose the firm achieves total revenue of $1,000 by selling 150 units while facing total costs of $900. If the firm produces and sells 151 units, its total revenue is $1,005, and its total costs are $950. Should the firm produce and sell the extra unit? Group of answer choices yes, since marginal profit is positive yes, since profits are positive no, since marginal profit is negative no, since marginal profit is positive You have recently learned that the company where you work is being sold for $1,000,000. The company's income statement indicates next year's profits of $30,000, which have yet to be paid out as dividends. Assuming the company will remain a "going concern" indefinitely and the interest rate will remain constant at 7%, at what (constant) rate does the owner believe that profits will grow? (Hint: the price the owner was willing to pay is the present value of the firm's future cash flows) Group of answer choices 6% 5% 4% 4.5%
- Q4) A firm’s short-run cost function is C(q) = 100q - 5q2 + 0.3q3 + 400. a) Determine the fixed cost, F; the variable Cost, VC b) The average fixed cost AFC, the average variable cost, AVC; the average total cost, AC c) the marginal cost, MC d) If q= 10 find FC,VC, AFC, AVC, ATC and MCWhen a firm produces one unit, the variable cost is $8. When the firm produces two units, the variable cost is $16. What is the marginal cost of producing the second unit? $8 $4 $24 $2An economist estimated that the cost function of a single-product firm is C(Q) = 100 + 20Q + 15Q2 + 10Q3 Based on this information, determine a. The fixed cost of producing 10 units of output.b. The variable cost of producing 10 units of output. c. The total cost of producing 10 units of output. d. The average fixed cost of producing 10 units of output. e. The average variable cost of producing 10 units of output. f. The average total cost of producing 10 units of output. g. The marginal cost when Q = 10.