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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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![### Marginal Cost Analysis for Two Products
#### Problem Statement
The joint cost (in dollars) for two products is given by:
\[ C(x, y) = 24 + x^2 + 3y + 2xy \]
where `x` represents the quantity of product X produced and `y` represents the quantity of product Y produced.
#### Questions
**(a) Find the marginal cost with respect to x if 8 units of product X and 11 units of product Y are produced.**
\[ \text{Marginal cost with respect to } x: \$ \boxed{\phantom{0}} \]
**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.**
\[ \text{Marginal cost with respect to } y: \$ \boxed{\phantom{0}} \]
**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.
**Note:** Please fill in the marginal cost values in the boxes provided and interpret the results based on the selected options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8747d92-b055-4562-9504-cd72cffb1b1f%2Fe9b8616c-2e0c-4730-8a33-00b9a5f9ab8c%2F4acgg3_processed.png&w=3840&q=75)
Transcribed Image Text:### Marginal Cost Analysis for Two Products
#### Problem Statement
The joint cost (in dollars) for two products is given by:
\[ C(x, y) = 24 + x^2 + 3y + 2xy \]
where `x` represents the quantity of product X produced and `y` represents the quantity of product Y produced.
#### Questions
**(a) Find the marginal cost with respect to x if 8 units of product X and 11 units of product Y are produced.**
\[ \text{Marginal cost with respect to } x: \$ \boxed{\phantom{0}} \]
**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.**
\[ \text{Marginal cost with respect to } y: \$ \boxed{\phantom{0}} \]
**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.
**Note:** Please fill in the marginal cost values in the boxes provided and interpret the results based on the selected options.
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