The joint cost (in dollars) for two products is given by C(x, y) = 24 + x² + 3y + 2xy where x represents the quantity of product X produced and y represents the quantity of product Y produced. (a) Find the marginal cost with respect to x if 8 units of product X and 11 units of product Y are produced. $ Interpret your answer. If y remains at 11, the expected change in cost for a 9th unit of x is this amount. If y remains at 8, the expected change in cost for a 12th unit of x is this amount. If x remains at 8, the expected change in cost for a 12th unit of y is this amount. If x remains at 11, the expected change in cost for a 9th unit of y is this amount. (b) Find the marginal cost with respect to y if 8 units of product X and 11 units of product Y are produced. $ Interpret your answer. ○ If x remains at 8, the expected change in cost for a 12th unit of y is this amount. If y remains at 8, the expected change in cost for a 12th unit of x is this amount. If x remains at 11, the expected change in cost for a 9th unit of y is this amount. If y remains at 11, the expected change in cost for a 9th unit of x is this amount.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The joint cost (in dollars) for two products is given by
C(x, y) = 24 + x² + 3y + 2xy
where x represents the quantity of product X produced and y represents the quantity of product Y produced.
(a) Find the marginal cost with respect to x if 8 units of product X and 11 units of product Y are produced.
$
Interpret your answer.
○ If y remains at 11, the expected change in cost for a 9th unit of x is this amount.
If y remains at 8, the expected change in cost for a 12th unit of x is this amount.
If x remains at 8, the expected change in cost for a 12th unit of y is this amount.
If x remains at 11, the expected change in cost for a 9th unit of y is this amount.
(b) Find the marginal cost with respect to y if 8 units of product X and 11 units of product Y are produced.
$
Interpret your answer.
If x remains at 8, the expected change in cost for a 12th unit of y is this amount.
If y remains at 8, the expected change in cost for a 12th unit of x is this amount.
○ If x remains at 11, the expected change in cost for a 9th unit of y is this amount.
○ If y remains at 11, the expected change in cost for a 9th unit of x is this amount.
Transcribed Image Text:The joint cost (in dollars) for two products is given by C(x, y) = 24 + x² + 3y + 2xy where x represents the quantity of product X produced and y represents the quantity of product Y produced. (a) Find the marginal cost with respect to x if 8 units of product X and 11 units of product Y are produced. $ Interpret your answer. ○ If y remains at 11, the expected change in cost for a 9th unit of x is this amount. If y remains at 8, the expected change in cost for a 12th unit of x is this amount. If x remains at 8, the expected change in cost for a 12th unit of y is this amount. If x remains at 11, the expected change in cost for a 9th unit of y is this amount. (b) Find the marginal cost with respect to y if 8 units of product X and 11 units of product Y are produced. $ Interpret your answer. If x remains at 8, the expected change in cost for a 12th unit of y is this amount. If y remains at 8, the expected change in cost for a 12th unit of x is this amount. ○ If x remains at 11, the expected change in cost for a 9th unit of y is this amount. ○ If y remains at 11, the expected change in cost for a 9th unit of x is this amount.
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