Solve the problem. 28) A kitchen remodeling company determines that the marginal cost, in dollars per foot, of installing x feet of kitchen countertop is given by C(x)-7x-1/3 Find the cost of installing an extra 9 feet of countertop after 30 feet have already been ordered.
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- 5) If Hilltop Turf Farm's total cost of producing acres of sod is TC = 0.20-120Q - 5,000, the marginal cost of producing the fiftieth 50h acre of sod is a) $110. b) $120. C) $130. d) $140. e) $150.Crawford Computing finds that its weekly profit, in dollars, from its production and sale of x laptop computers is P(x)=-.002x^3-.15x^2+400x-800 Currently, Crawford builds and sells 9 laptops weekly. (a) what is the current weekly profit? (b) how much profit would be lost if production and sales dropped to 8 laptops weekly? (c) what is the marginal profit with x=9? (d) use answers from parts (a) and (c) to estimate the profit resulting from the production and sale of 10 laptops weekly.5) If Hilltop Turf Farm's total cost of producing acres of sod is TC = 0.202- 1200 - 5,000, the marginal cost of producing the fiftieth soth acre of sod is a) S110. b) $120. C) $130. d) $140. e) $150.
- 2. 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.What is the total cost associated with producing eight units of the control varlable, a (identify point B in the tablej? 34 Marginal Harginal Harginal Net Bеnefit Control Total Net Costs Benefits Benefit Total variable Benefits Cost Sepped B(Q) C(Q) MB(0) MC(0) MND (0) 900 100 800 900 100 800 2 1,700 300 800 200 600 2,400 600 1,800 700 E 400 1,000 1,500 400 500 2,000 2,000 1,800 1,400 4 600 200 3,500 500 3,900 2,100 D 600 -200 4,200 4,400 4,500 2,800 300 700 -400 800 200 800 -600 4,500 100 900 -800 10 4,500 5,500 -1,000 1,000 -1,000 Mutiple Choice 3,000 3,600 3,800 4,200Here's the table showing quantity and total cost Q - 0, 1, 2, 3, 4, 5 TC - 8, 9, 10, 11, 13, 19 Calculate MC.
- these are the drop down options Washes per hour dollarsThe total cost (in dollars) of producing x food processors is C(x) = 1600 + 40x-0.1x². (A) Find the exact cost of producing the 61st food processor. (B) Use the marginal cost to approximate the cost of producing the 61st food processor. CHEO (A) The exact cost of producing the 61st food processor is $ (B) Using the marginal cost, the approximate cost of producing the 61st food processor is $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.
- ) A company manufacturing laundry sinks has fixed costs of $100 per day but has totalcosts of $2,500 per day when producing 15 sinks. The company has a daily demand functionof q = 360 − p, where q is the number if laundry sinks demanded and p is te price ofa laundry sink. Find a function for the average cost of this company. (c) If production increases continuously, what is likely to be the average cost per sink? (d) How many laundry sinks will the company need to produce in order to maximise it′s profits? (e) What is the maximum profit?what is coasian transaction cost?Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal revenue for a product is MR = 1800 and the marginal cost is MC = 90Vx + 4, with a fixed cost of $600. (a) Find the profit or loss from the production and sale of 5 units. There is a -Select-- | of $ (b) How many units will result in a maximum profit? units
