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- The change in fotal costjof production as the output or total product of the business is expanded is: LOTHE Marginal cost (b) The Total variable cost (c) Average variable cost ( Average fixed costIn the bottom-up approach to cost estimating, the:a. required price is an input variable.b. cost estimates are an output variable.c. required price is an output variable.d. both (a) and (b) are correct.C(x) = 0.01x-0.3x + 10x gives the cost, in thousands of dollars, to produce x thousand items. (a) Find a formula for the marginal cost. (b) Find C'(0). Give units. (c) Graph the marginal cost function. Use your graph to find the minimum marginal cost, the production level for which the marginal cost is the smallest. (d) For what value of x does the marginal cost return to C'(0)? (a) Find a formula for the marginal cost. c'(x) =D (b) Find C'(0). Give units. c'(0) = (c) Use the derivative of the marginal cost function to find the minimum marginal cost, the production level for which the marginal cost is the smallest. The minimum marginal cost of additional dollars per item produced occurs when thousand items are produced. d) Recall your answer to part b. For what value of x does the marginal cost return to C'(0)? Marginal cost returns to this value of C (x) when x = items are produced.
- swered Costs per Unit (dollars) 1000 900 800 700 600 500 400 300 200 100 0 4 Average total cost B Marginal cost Output (units per day) Average variable cost Average fixed cost 22 24 How many units of output should be produced per day if the price of the product is $600/unit? (provide an approximate answer in whole numbers)PRINT YOUR NAME (LAST) (FIRST) Aggregate Cost Data Unit Cost Data Average Average Average I Fixed Variable Total Cost TC Marginal Quantity Fixed Variable Total Change in I Cost of Output (FC) (VC) Cost ATC Cost Cost Total Cost (TC) (ATC) Plot MC at Output Cost Cost IFC VC $600 $ 0 $ 600 I XX XX XX XX $3.00 $300 50 100 600 300 900 I $6.00 $3.00 $9.00 100 1.00 150 200 600 400 | 3.00 2.00 5.00 50 .50 - 250 300 1050 I 2.00 1.50 1.00 350 400 1150 I 1.50 1.38 2.88 200 2.00 - 450 500 600 750 1350 I 1.20 1.50 550 600 600 1200 1800 3.00 10.00 - 650 700 2200 2800 I.85 3.15 PLOT THE APPROPRIATE DATA FROM THE PRECEDING TABLE ON THE GRAPHS ON P. 134 AND 135 BEFORE ANSWERING THE EIGHT QUESTIONS BELOW. QUESTIONS 5-8 ARE ON PAGE 136. 1. How is marginal cost (ATC/AQ) represented in your graph on page 134? 2. On your graph on page 135 Variable Cost per unit (VC/Q or average variable cost) is at a minimum at an output level of, units. 3. On your graph on page 135 Total Cost per unit (TC/Q or average…Which of the following statements is (are) correct? (x) If marginal cost is less than average total cost but more than average variable cost, then average total cost is falling and average variable cost is rising. (y) If marginal cost is above average variable cost, average variable cost may rise or fall depending on the size of average fixed costs. (z) If marginal cost is above average fixed cost, average fixed cost may rise or fall depending on the size of fixed costs. Select one: O A. (x), (y), and (z) O B. (x) and (y)., only O C. (x) and (z), only O D. (y) and (z), only O E. (x) only
- 30- A graph represented by a straight line parallel to the output of the X-AXIS is an image of which classification of cost? a. Marginal cost b. Production cost c. None of these d. Total fixed cost2. What is the relationship between the total cost curve, and the average cost per unit? Explain their relationship, and draw a diagram showing how the two are related. The total cost of production, in thousands of dollars, is C(q) = q³ 12q² + 60q, where q is in thousands and 0 ≤ q ≤ 8. (a) Graph C(q). Estimate visually the quantity at which average cost is minimized. (b) Determine analytically the exact value of q at which average cost is minimized.Quick Check Multiple Choice No (3) A firm is producing 1,000 units at a total cost of $5,000. If it were tom increase production to 1,001 units, its total cost would rise to $5,008. What does this information tell you about the firm? (a) Marginal cost is $5, and average variable cost is $8. (b) Marginal cost is $8, and average variable cost is $5. (c) Marginal cost is $5, and average total cost is $8. (d) Marginal cost is $8, and average total cost is $5.
- II. Find The Minimum Cost and graph : 1. C = x2 - 16x + 74 2. C = x2 - 40x + 405 Thank you.A cost that changes with the level of production is called a(n)____cost a.variable b.average total c.marginal b.fixed__________ refers to the additional cost spent to produce one more unit of the product. a. Marginal cost b. Money cost c. Sunk cost d. Average cost