Consider an industry with identical firms. Suppose the cost function of firm i, i=1,...,n, is given by C₁(q) = 6 q₁² + 91 If a total of Q=400 units is produced efficiently in this industry, what will be the industry total cost of these 400 units? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number. Don't round, even if rounding makes sense...)
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- The total cost equation for a firm producing two products is TC(Q1, Q2) = 25 + Q12 + 4Q22 + 5Q1Q2 (a) Do cost complementarities exist for this firm? (b) Under what circumstances do economies of scope exist for this firm? (c) Suppose that Q1 = Q2 = 3. Do cost complementarities exist? (d) Suppose that the firm is currently producing 5 units of Q1, and 10 units of Q2, What is the firm's total cost of production? e) Suppose that the firm divests itself of the division selling Q1 to a competitor. How much will it cost the firm to continue producing 10 units of Q2? What is the total cost of producing both Q1 and Q2 if the firm producing Q1 produces 5 units?The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=215+58q+q^2 and Marginal Cost curve MC=58+2q. Market demand is Q=744-2P. What is the Average Variable Cost if the firm produces 17 units?A firm has two plants that produce identical output. The cost functions are C1=346q−8q2+0.5q3 and C2=346q−10q2+1.0q3. Part 2 First, note that if AC1=346−8q+0.5q2, then dAC1dq=−8+2(0.5)q. Similarly, if AC2=346−10q+1.0q2, then dAC2dq=−10+2(1.0)q. If the firm wants to produce units of output, how much should it produce in each plant? The firm should produce _ units at the first plant and _ units at the second plant. (Enter a numeric response using an integer.) Please do fast ASAP fast
- Suppose there are 5 firms in this industry, each of which has the cost curves previously shown.Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q^2. a. What are the firm's fixed costs? b. What is the firm's marginal cost? Now suppose other firms in the market sell the product at a price of $10 c. How much should this firm charge for the product? d. What is the optimal level of output to maximize profits? e. How much profit will be earned? f. In the long run, should this firm continue to operate or shut down? Why? *Please show all work*A firm has two plants that produce identical output. The cost functions are C1=346q−8q2+0.5q3 and C2=346q−10q2+1.0q3. Part 2 First, note that if AC1=346−8q+0.5q2, then dAC1dq=−8+2(0.5)q. Similarly, if AC2=346−10q+1.0q2, then dAC2dq=−10+2(1.0)q. At what output level does the average cost curve of each plant reach its minimum? The first plant reaches minimum average cost at _ units of output. (Enter a numeric response using an integer.) Please do fast ASAP fast
- Trotter Inc is a polling company. Trotter uses both labor, L, (measured in hours worked) and capital, K, (measured in phone lines) to conduct surveys. The production function of Trotter’s is given by Q=10L^0.25 K^0.25 where Q is measured in surveys completed per hour. The price of a unit of L is $16 per hour and the price of a unit of K is $1 per hour. Trotter’s has additional fixed costs of $227 per hour. For parts (a) – (b) below assume that the number of phone lines is fixed in the short run. In particular, Trotter's has 16 phone lines (so K = 16). This results in additional fixed costs in the short run of $16 (ie in addition to the 227). a) In the short run what is Trotter’s (compensated) demand curve for labor? What is the variable cost curve? What is the total cost curve? b) In the short run, what is the marginal cost curve of Trotter’s? What is the average cost curve? What is the optimal size of the firm? Illustrate the short run marginal and average cost curves. For parts (c)-…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.)Consider a simple three-step manufacturing process as illustrated in the figure given. Assuming the demand is 1,000 units, what is the input needed to meet the demand? Suppose the cost of loss is $5 in process 1, $10 in process 2, and $US 15 in the process 3. The defect rates are 3%, 5% and 7%, respectively. Calculate the total cost of the loss in the system provided and in the system where the scrap rates are reversed. which system would be preferable?
- Assume that a competitive firm has the total cost function: TC=1q3−40q2+880q+2000 T C = 1 q 3 - 40 q 2 + 880 q + 2000 Suppose the price of the firm's output (sold in integer units) is $550 per unit. Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution. How many units should the firm produce to maximize profit? Please specify your answer as an integer. What is the total profit at the optimal output level? Please specify your answer as an integer.Answer B,C,D A firm can produce at most x = 2500 units per month, and their marginal cost function has been computed to be MC=1200+x , while the cost of producing and selling 30 units is $70,000. If their marginal revenue function has been computed to be MR=3500 , then find: The number of units of production resulting in maximum monthly profit The maximum monthly profit Associated fixed costs How many units does the firm need to manufacture and sell in order to break even?The total cost of a firm is TC(Q)=4Q2+6Q+34. Accordingly, its marginal cost is 2*4*Q+6 when its output is Q. Find the output level where the ATC is minimized.