Exercise 21. Given the cost function C (x) = 0.04x^2 + 50x + 6000, find the value of x for which the average cost is a maximum. (21A) 412.980 (21B) −387.298 (21C) 387.298 (21D) 78.298 (21E) −625
Exercise 21. Given the cost function C (x) = 0.04x^2 + 50x + 6000, find the value of x for which the average cost is a maximum. (21A) 412.980 (21B) −387.298 (21C) 387.298 (21D) 78.298 (21E) −625
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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Exercise 21. Given the cost function C (x) = 0.04x^2 + 50x + 6000, find the value of x for which the average cost is a maximum.
(21A) 412.980
(21B) −387.298
(21C) 387.298
(21D) 78.298
(21E) −625
Exercise 22. Find the x-coordinate for the point of inflection for f(x) = 100/1 + 100e^−0.1x
(22A) 4.605
(22B) 46.052
(22C) 460.517
(22D) 4605.170
(21E) There is no inflection point.
Exercise 23. If a compagny sells an item for p = 75 − 0.01x dollars each, and the cost of manufacturing x items is C(x) = 1850 + 28x − x^2 + 0.001x^3, find the production level which maximizes the profit. Round your answer to the nearest whole number.
(23A) 710
(23B) 652
(23C) 844
(23D) 657
(23E) 683
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