2. What is the relationship between the total cost curve, and the average cost per unit? Explain their relationship, and draw a diagram showing how the two are related. The total cost of production, in thousands of dollars, is C(q) = q³ - 12q² + 60q, where q is in thousands and 0 ≤ q ≤ 8. (a) Graph C(q). Estimate visually the quantity at which average cost is minimized. (b) Determine analytically the exact value of q at which average cost is minimized.

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2. What is the relationship between the total cost curve, and the average cost per unit? Explain
their relationship, and draw a diagram showing how the two are related.
The total cost of production, in thousands of dollars, is C(q) = q³ 12q² + 60q, where q is in
thousands and 0 ≤ q ≤ 8.
(a) Graph C(q). Estimate visually the quantity at which average cost is minimized.
(b) Determine analytically the exact value of q at which average cost is minimized.
Transcribed Image Text:2. What is the relationship between the total cost curve, and the average cost per unit? Explain their relationship, and draw a diagram showing how the two are related. The total cost of production, in thousands of dollars, is C(q) = q³ 12q² + 60q, where q is in thousands and 0 ≤ q ≤ 8. (a) Graph C(q). Estimate visually the quantity at which average cost is minimized. (b) Determine analytically the exact value of q at which average cost is minimized.
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