If you average your costs over your total production, you get the average cost, written C: C(x, y) C(x, y) = x + y Find the average cost for the cost function C(x, y) = 200,000 + 5,800x + 3,700y – 100,000e-0.01(x + y), 200000 + 5800x+3700v – 100000e-0.01(x+y) x+y C(x, y) = Find the marginal average cost of a car and the marginal average cost of a truck at a production level of 50 cars and 50 trucks. (Let x be the number of cars and y be the number of trucks. Give your answers to the nearest cent.) $-5.64 X per car 24 per truck

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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If you average your costs over your total production, you get the average cost, written C:
C(x, y) =
C(x, y)
x + y
Find the average cost for the cost function
C(x, y) = 200,000 + 5,800x + 3,700y - 100,000e-0.01(x + y)
C(x, y) =
200000 + 5800x + 3700y – 100000e
-0.01(x+y)
x+y
Find the marginal average cost of a car and the marginal average cost of a truck at a production level of 50 cars and 50 trucks. (Let x be the number of cars and y be the number of
trucks. Give your answers to the nearest cent.)
$ -5.64
X per car
2$
per truck
Interpret your answers.
O At a production level of 50 cars and 50 trucks per week, the average cost per vehicle is increasing for each additional car manufactured and increasing for each additional truck
manufactured.
O At a production level of 50 cars and 50 trucks per week, the average cost per vehicle is increasing for each additional car manufactured and decreasing for each additional truck
manufactured.
O At a production level of 50 cars and 50 trucks per week, the average cost per vehicle is decreasing for each additional car manufactured and increasing for each additional truck
manufactured.
O At a production level of 50 cars and 50o trucks per week, the average cost per vehicle is decreasing for each additional car manufactured and decreasing for each additional truck
manufactured.
O The behaviors of the average costs do not depend on the production level.
Transcribed Image Text:If you average your costs over your total production, you get the average cost, written C: C(x, y) = C(x, y) x + y Find the average cost for the cost function C(x, y) = 200,000 + 5,800x + 3,700y - 100,000e-0.01(x + y) C(x, y) = 200000 + 5800x + 3700y – 100000e -0.01(x+y) x+y Find the marginal average cost of a car and the marginal average cost of a truck at a production level of 50 cars and 50 trucks. (Let x be the number of cars and y be the number of trucks. Give your answers to the nearest cent.) $ -5.64 X per car 2$ per truck Interpret your answers. O At a production level of 50 cars and 50 trucks per week, the average cost per vehicle is increasing for each additional car manufactured and increasing for each additional truck manufactured. O At a production level of 50 cars and 50 trucks per week, the average cost per vehicle is increasing for each additional car manufactured and decreasing for each additional truck manufactured. O At a production level of 50 cars and 50 trucks per week, the average cost per vehicle is decreasing for each additional car manufactured and increasing for each additional truck manufactured. O At a production level of 50 cars and 50o trucks per week, the average cost per vehicle is decreasing for each additional car manufactured and decreasing for each additional truck manufactured. O The behaviors of the average costs do not depend on the production level.
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