A rival company manufactures fuel tanks for cars using a different production technique. The total weekly cost (in dollars) of producing x tanks is given by .. C(x) = 10000 +90x-0.05x? %3D Find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit

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Cost Analysis
A rival company manufactures fuel tanks for cars using a different
production technique.
The total weekly cost (in dollars) of producing x tanks is given by..
C(x) = 10000 +90x-0.05x2
%3D
Find the marginal cost at a production level of 500 fuel
tanks per week to approximate the cost of the 501st unit
(Round to the nearest 2 decimal places, if needed)
HINT: Steps to find the approximate or estimate
(cost/revenue/profit)
1. Find C' (x) = MC (500);
2. take the derivative of the cost/revenue/profit function;
3. plug in 500 for x
ASUS
Transcribed Image Text:Cost Analysis A rival company manufactures fuel tanks for cars using a different production technique. The total weekly cost (in dollars) of producing x tanks is given by.. C(x) = 10000 +90x-0.05x2 %3D Find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (Round to the nearest 2 decimal places, if needed) HINT: Steps to find the approximate or estimate (cost/revenue/profit) 1. Find C' (x) = MC (500); 2. take the derivative of the cost/revenue/profit function; 3. plug in 500 for x ASUS
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