An accessories company finds that the cost, in dollars, of producing x belts is given by...
Question hep An accessories company finds that the cost in dollars. of producing x belts is given by Cox)=750 + 39x -0.065x? Find the rate at which average cost is changing when 180 belts have been produced First find the rate at which the average cost is changing when x belts have been produced Co-O
4. (Production Cost) Arthur, the manager of a furniture factory, finds that the cost of producing q bookcases during the morning production shift is C(a)= q +q +500 dollars. On a typical day,. q(t) = 25t bookcases are produced during the first t hours of a production shift for 0sts s a. Express the production cost C in terms of t How much will have been spent on production by the end of the 3d hour? What is b. the...
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...
4. A company has determined that the cost in dollars to manufacture x cases of its product is given by TC(x)=100+20x-x^2 (0≤x≤6) a. Find the average rate of change of manufacturing cost per case between 1 and 5 cases. b. Find the instantaneous rate of change of manufacturing cost when the 3rd case is produced. c. Find marginal cost (MC) at x = 3.
The weekly marginal cost of producing x pairs of tennis shoes is given by the following function, where C(x) is cost in dollars. 200 x + 1 c'(x)=17+ If the fixed costs are $3,000 per week, find the cost function. What is the average cost per pair of shoes if 1,000 pairs of shoes are produced each week? The cost function is C(x)=0 If 1,000 pairs of shoes are produced each week, the average cost per pair of shoes is...
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
when no more than 110 units are produced, the cost of producing x units is given byC(x)=.2x^3 - 25x^2 + 1531x + 25,000How many units should be produced in order to have the lowest possible average cost?
Marginal Average Cost for Producing Thermometers The management of ThermoMaster Company, whose Mexican subsidiary manufactures an indoor-outdoor thermometer, has estimated that the total weekly cost (in dollars) for producing x thermometers is represented by the following function. Find the following functions (in dollars) and interpret your results. C(x) = 3,500 + 6x (a) Find the average cost function C. C(x) = (b) Find the marginal average cost function C '. C '(x) = interpret your results: o Since the marginal...
A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. The total cost of producing the first 200 dresses is $6800. Find the cost of producing the 201st through the 320th dress. 3 C'(x) = -25% +46, for xs 370 The total cost is $ (Round to the nearest dollar as needed.)
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...