[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.

  1. Find the output quantity x* at which the average cost attains its minimum.
  2. Compute the minimum average cost per gallon.
  3. 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.
  4. Verify the marginal cost at x* is the same as the minimum average cost.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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