Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x2 dollars to...
Assume that it costs a company approximately C(x) = 441,000 + 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. $______
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Assume that it costs a company approximately C(x) = 441,000 +
160x + 0.001x2 dollars to...
11. Marginal and Average Cost: iPhones Assume that it costs Apple approximately A-Z C () 400,000+...
11. Marginal and Average Cost: iPhones Assume that it costs Apple approximately A-Z C () 400,000+160z + 0.001z2 dollars to manufacture 32GB iPhone 6's in an hour at the Foxconn Technology Group a. Find the marginal cost function, and use it to estimate how fast the cost is increasing when 10,000. Compare this with the exact cost of producing the 10,001st iPhone. Answer b. Find the average cost function C and the average cost to produce the first 10,000 iPhones....
The total cost (in dollars) of manufacturing x auto body frames is C(x) = 20,000 + 500x.
The total cost (in dollars) of manufacturing x auto body frames is C(x) = 20,000 + 500x. (A) Find the average cost per unit if 50 frames are produced. (B) Find the marginal average cost at a production level of 50 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 51 frames are produced. (A) If 50 frames are produced, the average cost is $_______ per frame. (B) The marginal average cost at a production level...
The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000+ 900x.
The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000+ 900x. (A) Find the average cost per unit if 400 frames are produced. (B) Find the marginal average cost at a production level of 400 units.(C) Use the results from parts (A) and (B) to estimate the average cost per frame if 401 frames are produced. (A) If 400 frames are produced, the average cost is $_______ per frame.
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.
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...
1)A linear cost function is C(x) = 6x + 450. (Assume C is measured in dollars.)...
1)A linear cost function is C(x) = 6x + 450. (Assume C is measured in dollars.) (a) What are the slope and the C-intercept? slope C-intercept (b) What is the marginal cost MC ? MC= What does the marginal cost mean? Each additional unit produced costs this much (in dollars). If production is increased by this many units, the cost decreases by $1. Each additional unit produced reduces the cost by this much (in dollars). If production is increased...
Can you please solve thses? 11) A pen manufacturer determined that the total cost in dollars...
Can you please solve thses?
11) A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is given by: C(x) - 350 + 2x -0.01x2 O sx $100 Find the marginal cost at a production level of 70 dozen pens and interpret the result A) The marginal cost is $0.62/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen pens is approximately $0.62. B) The marginal...
Bus Econ 13.5.69 Question Help A company manufactures mountain bikes. The research department produced the marginal cost function C(x)-500-งิ 0sxs900 where C(x) is in dollars and x is the number of b...
Bus Econ 13.5.69 Question Help A company manufactures mountain bikes. The research department produced the marginal cost function C(x)-500-งิ 0sxs900 where C(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 600 bikes per month to 900 bikes per month. Set up a definite integral and evaluate it. The increase in cost is s Bus Econ 13.5.81 := Question Help Given the supply function p=S(x)...
calc problem
1-Suppose the total cost function for manufacturing a certain product is c(x)=.2(0.01x^2+120) dollars where x represent the number of units produced. Find the level ofproduction that will minimize the average cost. Show your calculus. Round to the nearest integer. You can use either the first derivative test or the second derivativetest to show this is a minimum.2- The daily total cost (in dollars) incurred by Trappee and Sons for producing x cases of Texa Pep hot sauce is given by...
The annual cost (in thousands of dollars) of manufacturing x thousand sets of wrieless earbuds is...
The annual cost (in thousands of dollars) of manufacturing x thousand sets of wrieless earbuds is given by C(x) = 0.001x3 + 3x + 128. Complete the following: (a) Find the average cost function and give its domain. (b) How many thousands of sets of earbuds should be made to minimize the average cost?
11. Marginal and Average Cost: iPhones Assume that it costs Apple approximately A-Z C () 400,000+160z + 0.001z2 dollars to manufacture 32GB iPhone 6's in an hour at the Foxconn Technology Group a. Find the marginal cost function, and use it to estimate how fast the cost is increasing when 10,000. Compare this with the exact cost of producing the 10,001st iPhone. Answer b. Find the average cost function C and the average cost to produce the first 10,000 iPhones....
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...
Can you please solve thses?
11) A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is given by: C(x) - 350 + 2x -0.01x2 O sx $100 Find the marginal cost at a production level of 70 dozen pens and interpret the result A) The marginal cost is $0.62/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen pens is approximately $0.62. B) The marginal...
Bus Econ 13.5.69 Question Help A company manufactures mountain bikes. The research department produced the marginal cost function C(x)-500-งิ 0sxs900 where C(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 600 bikes per month to 900 bikes per month. Set up a definite integral and evaluate it. The increase in cost is s Bus Econ 13.5.81 := Question Help Given the supply function p=S(x)...
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