Question

The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is given by C^'(x)=x^3/4. a) Find the cost of installing 60 ft^2 of countertop. b) Find the cost of installing an extra 17 ft^2 of countertop after 60 ft^2 have already been installed.

Name: the marginal cost in dollars per square foot of installing x square feet of kitchen countertop is given by cxx34 a find the cost of installing 60 ft2 of countertop b find the cost of install 12182
Uploaded: 2023-06-05T16:29:40-08:00
Duration: 2 min 22 s
Channel: Melissa Munoz
Description: the marginal cost in dollars per square foot of installing x square feet of kitchen countertop is given by cxx34 a find the cost of installing 60 ft2 of countertop b find the cost of install 12182

          The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is given by C^'(x)=x^3/4. a) Find the cost of installing 60 ft^2 of countertop. b) Find the cost of installing an extra 17 ft^2 of countertop after 60 ft^2 have already been installed.

Added by Irene V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Melissa Munoz

06/05/2023

Step 1

The marginal cost function is given by \( C'(x) = \frac{x^3}{4} \), which represents the cost in dollars per square foot of installing the \( x \)-th square foot of countertop. --- Show more…

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The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is given by C^'(x)=x^3/4. a) Find the cost of installing 60 ft^2 of countertop. b) Find the cost of installing an extra 17 ft^2 of countertop after 60 ft^2 have already been installed.