[Solution] [Minimum Average cost] When x gallons of Exall are produced, the average cost per gallon is AC(x) dollars, where, AC(x)=(200)/(0.1x+5)+0.05x
Question: [Minimum Average cost]
When x gallons of Exall are produced, the average cost per gallon is AC(x) dollars, where,
\[AC\left( x \right)=\frac{200}{0.1x+5}+0.05x\]where x > 0.
- Find the output quantity x* at which the average cost attains its minimum.
- Compute the minimum average cost per gallon.
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Find the marginal cost per gallon at the output x*.
Hint: You need to first compute the total cost of producing x units using the average cost function and then take derivative to find the marginal cost. - Verify the marginal cost at x* is the same as the minimum average cost.
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Solution: The downloadable solution consists of 2 pages
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