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the total cost function is given by
where x is the number of novels
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- The total cost of producing x calculators is given by C(x) =4000+10X+0.05x2. The revenue from selling x calculators is given by R(x) =70x-0.006 determine the marginal cost functionA firm in a competitive market must sell its product for $250 per unit. The cost unit (per month) is 50 + 2x ,where x represents the number of units sold per month. Find the marginal profit function if the production levels is 5 units.Find the cost function for x items with marginal cost function
- If the marginal cost function for x units of a product is MC = 2 + 5 ln(x + 1) dollars per unit, and if the fixed cost is $90, find the total cost function.A company has found that the marginal cost of a new production line (in thousands) is C'(x)=(9/x+e), where x is the number of years the line is in use. Find the total cost function for the prodcution lin (in thousands). The fixed cost is $20,000.Assume that it costs a company approximately C(x) = 576,000 + 160x + 0.001x2 dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost? units What is the resulting average cost of a device? $ How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ. $
- If a total cost function is C(x) =.0001x3 − .06x2 + 12x + 100, is the marginal cost increasing, decreasing, or not changing at x = 100? Find theminimum marginal cost.The marginal cost of producing the xthxth PC is C′(x)=10+(x^2/60000) and the fixed cost is 20000. What is the cost of producing 600 PCs?A manufacturer estimates that the cost of producing x items is C(x) = 250 + 3x + 0.001x2 a. Find the average cost function and the marginal cost for x = 1000. b. Find the value of x for which the average cost is smallest. c. What can you say about the marginal cost at the point where the average cost is smallest?
- Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily production is 50 items. (a) What is the extra cost of increasing daily production from 50 to 51 items? (b) What is the marginal cost when x = 50?A small business invests $25,000 in a new prod- uct. In addition, the product will cost $0.75 per unit to produce. Find the cost function and the average cost function. What is the limit of the average cost function as production increases?A liquid form of antibiotic manufactured by a pharmaceutical firm is sold in bulk with a total production cost of C(x) = 500,000 + 80x + 0.003x^2 in pesos, where a is the number of antibiotics produced. If the firm sells the antibiotic at Php 200 per unit, what is the marginal profit function equal to, in terms of s?