Question

Given the cost function: C(x) = 1000 + 96x + 2x3/2 Please do the following: 1....

Given the cost function: C(x) = 1000 + 96x + 2x3/2

Please do the following:

1. Find the cost, average cost, and marginal cost at a production level of 1000 units

2. Find the production level that will minimize the average cost

3. Find the minimum average cost

3. Find the minimum average cost

Please show your step by step calculation.

Thank you.

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