12. The monthly total cost of production for Flavell Corp., is related to the level of output Q in the following way: TC = 15Q -8Q² +Q³ Which of the following represents the marginal cost of this total cost curve? a) MC=15-16Q+ 3Q² b) MC=-16Q+3Q² c) MC=15-8Q+ 3Q² d) MC=15+8Q-3Q²
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- Question four Suppose that a firm's total cost equation is TC= 10,000+ 1000 + 0.25Q2 Where TC is total cost and Q is the level of output. (a) What output level will minimize the firm's average total cost? (b) Calculate the average and marginal cost at the average cost minimizing output levelLet F be the fixed cost of production, let VC be the variable cost of production, C be the total cost, MC be the marginal cost, AFC, the average fixed cost, AVC, the average variable cost, and AC, the average cost. Complete the following cost table. (Enter numeric responses rounded to two decimal places.) Output (q) 1 2 3 4 5 6 7 8 9 10 F $250 250 250 250 250 250 250 250 250 с MC AFC AVC AC $266 $16 $250.00 $16.00 $266.00 12 125.00 14.00 139.00 8 83.33 12.00 4 62.50 10.00 72.50 298 50.00 59.60 8 310 12 41.67 10.00 51.67 76 326 35.71 10.86 46.57 96 346 20 12.00 43.25 41.11 27.78 13.33 120 370 24 148 28 25.00 14.80 VC $16 28 278 36 286 40 48Q1) If the firm’s average cost curves are U-shaped, why does its average variable cost curve achieve its minimum at a lower level of output than the average total cost curve?
- 13) A firm's total cost function is TC = 0.5Q², where Q is the output level. What is the returns to scale of the firm's production function? A) Increasing returns to scale. B) Decreasing returns to scale. C) Constant returns to scale. D) Negative returns. E) None of the above.For a firm with a Total Cost function TC C(Q), recall that the definitions of Marginal Cost (MC) and AverageTotal Cost (ATC) are given as follows:Marginal Cost (MC) = C'(0)Average Total Cost (ATC) = C(Q)/QProve that the marginal cost is equal to the average total cost (MC = ATC) when the average total cost is at itsminimum value.(Hint: By using the definition of average cost function, find the quantity that minimizes it by applying unconstraint optimization.Show that the FOC of the minimization problem implies that MC=ATC has to be satisfied at the minimum level of average cost.)The cost structure of a manufacturer of microchips is described in the table in the next column. The firm’s fixed costs equal to $10 per day. Calculate the average variable cost, average fixed cost, and average total cost at each output level. Output (microchips per day) Total Cost of Output ($ thousands) 0 10 25 60 50 95 75 150 100 220 125 325 150 465
- 2. A company's total cost function as TC = 4,900 + 12Q+4Q Derive the following equations and compute their respective values when Q = 35 a. Average Total Cost (ATC): b. Average Variable Cost (AVC): C. Average Fixed Cost (AFC): d. Marginal Cost (MC):Complete the cost schedule below for the Ozzie Ugg Boot Co. Total product (Q) Total fixed cost (TFC) Total variable cost (TVC) Total Cost (TC) Marginal Cost (MC) Average fixed cost (AFC) Average variable cost (AVC) Average total cost (ATC) 0 $50 $50 C 1 $80 D 2 B $95 E 3 A $105 F 4 $110 I G 5 $130 H 6 $160 J List the values that you obtained for the letters A to J in your answer (no more than 2 decimal places). What is the most efficient level for the company to produce its product? Why?The cost information in the following table shows that as production increases Quantity produced/day Total cost Variable cost 0 $50 0 1 $75 $50 2 $110 $75 3 $155 $100 4 $210 $150 5 $270 $175 6 $345 $250 A.) variable cost increases at a uniform rate. b.) variable cost increases and then eventually falls c.) average total cost always falls d.) marginal cost eventually increases
- A firm with some fixed costs and a constant marginal cost at all levels of production will have which of the following average cost relationships? As production increases, average total cost will: A remain the same B decrease C increase D decrease and then increase E increase and then decreaseWhich of the following statements about average and marginal cost is INCORRECT? (2)(1) The marginal cost curve cuts both the average cost and average variable costcurves at their minimum points;(2) The marginal cost curve cuts both the average fixed cost and average variablecost curves at their minimum points;(3) The marginal cost curve lies below the average cost curve when average costis decreasing;(4) Marginal cost is the change in total cost when one extra unit of output isproduced.Let F be the fixed cost of production, let VC be the variable cost of production, C be the total cost, MC be the marginal cost, AFC, the average fixed cost, AVC, the average variable cost, and AC, the average cost. Complete the following cost table. (Enter numeric responses rounded to two decimal places.) Output (q) 1 2 3 4 31 5 6 7 8 9 06 10 F $200 200 200 200 200 200 200 200 200 VC $48 84 108 120 144 344 380 228 428 288 488 60 560 с MC $248 $48 AFC AVC AC $200.00 $48.00 $248.00 284 36 100.00 42.00 142.00 308 24 66.67 36.00 12 50.00 30.00 80.00 24 40.00 68.80 36 33.33 30.00 63.33 28.57 32.57 61.14 36.00 61.00 40.00 62.22 44.40 360 444 72 84 22.22 20.00