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Question hep An accessories company finds that the cost in dollars. of producing x belts is...
An accessories company finds that the cost, in dollars, of producing x belts is given by...
An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 790 +31x-0.067x?. Find the rate at which average cost is changing when 178 belts have been produced. First, find the rate at which the average cost is changing when x belts have been produced. C'(x)=0
4. (Production Cost) Arthur, the manager of a furniture factory, finds that the cost of producing...
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 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...
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.
Marginal Average Cost for Producing Thermometers The management of ThermoMaster Company, whose Mexican subsidiary manufactures an...
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...
The weekly marginal cost of producing x pairs of tennis shoes is given by the following...
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...
when no more than 110 units are produced, the cost of producing x units is given by C(x)=
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?
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.)
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.002x +0.07x2 + 18x...
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.002x +0.07x2 + 18x + 600, and currently 35 chairs are produced monthly a) What is the current monthly cost? b) What would be the additional cost of increasing production to 37 chairs monthly? c) What is the marginal cost when x35? d) Use the marginal cost to estimate the differedce in cost between producing 35 and 37 chairs per month. e) Use the answer from part (d)...
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.001 x cubed plus 0....
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.001 x cubed plus 0.07x squared + 18x + 7000 and currently 90 chairs are produced monthly. a) What is the current monthly cost? b) What would be the additional cost of increasing production to 92 chairs monthly? c) What is the marginal cost when x=90? d) Use the marginal cost to estimate the difference in cost between producing 90 and 92 chairs per month e) Use the...
An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 790 +31x-0.067x?. Find the rate at which average cost is changing when 178 belts have been produced. First, find the rate at which the average cost is changing when x belts have been produced. C'(x)=0
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...
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...
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.)
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.002x +0.07x2 + 18x + 600, and currently 35 chairs are produced monthly a) What is the current monthly cost? b) What would be the additional cost of increasing production to 37 chairs monthly? c) What is the marginal cost when x35? d) Use the marginal cost to estimate the differedce in cost between producing 35 and 37 chairs per month. e) Use the answer from part (d)...
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