The cost of producing x units of a product is modeled by the following. C =...
The cost of producing x units of a product is modeled by the following. C = 110 + 45x – 180 In(x), X21 (a) Find the average cost function C. o (b) Find the minimum average cost analytically. Use a graphing utility to confirm your result. (Round your answer to two decimal places.)
& The cost of producing & units is C(x) = 200+755 – 300 lux (a) Find the average cost function C (6) Find the minimum average cost analytically. Show all steps, explain what you're doing, and prove (using calculus) it's a minimum a answer correct to 2 decimal places)
Find the minimum cost of producing 50,000 units of a product, where x is the number of units of labor (at $84 per unit) and y is the number of units of capital (at $48 per unit). (Round your answer to two decimal places.) P(x, y) = 100x0.6 0.4
If the total cost function for producing x lamps is C(x) = 90 + 34x + 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units Find the minimum average cost per unit. $
If the total cost function for producing x lamps is C(x) = 3920 + 36x + 0.8x? dollars, producing how many units, x, will result in a minimum average cost per unit? X units Find the minimum average cost per unit. $
2.If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 24,000 + 290x + 6x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ (b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ per unit (c) Find...
nsid If the total cost function for a product is C(x) = 810 + 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units x40 d Find the minimum average cost per unit. $103 Aleed Hln
The Marginal Cost for producing x Tshirts is modeled by the function . Find the cost function if the fixed cost is 350$.
The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 10x -0.005% a. Find the average rate of change in revenue as x changes from 1003 to 1007 b. Find the marginal revenue at x=600. a. The average rate of change in revenue is dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The marginal revenue is dollars per unit. (Do not...
The average cost per hour in dollars of producing x riding lawn mowers is given by the following 2800 c(x) = 0 .7xf + 26-292 +- (a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost. (b) What is the minimum average cost? lawn mowers are produced per hour (a) The average cost is minimized when approximately (Round to the nearest whole number as needed) (b) The minimum average...