A manufacturer of handcrafted wine racks has determined that the cost to produce x units per mon

Name: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C = 0.4x^2 + 9,000. How fast is the cost per month changing when production is changing at the rate of 16 units per month and the production level is 90 units?
Uploaded: 2023-07-30T21:12:05-08:00
Duration: 1 min 22 s
Channel: Ma. Theresa Alin
Description: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C = 0.4x^2 + 9,000. How fast is the cost per month changing when production is changing at the rate of 16 units per month and the production level is 90 units?

Question

Ma. Theresa Alin · Accepted Answer

Step 1: Find the derivative of the cost function, C(x) = 0.4x² + 9,000.

Question

A manufacturer of handcrafted wine racks has determined that the cost to produce \(x\) units per month is given by \(C = 0.4x^2 + 9,000\). How fast is the cost per month changing when production is changing at the rate of 16 units per month and the production level is 90 units?

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