The total cost C(x) associated with the production of x units of an item is given by C(x) = 0.007x³ - 0.003x² + 15x + 4000. Find the marginal cost when 17 units are produced.
The total cost C(x) associated with the production of x units of an item is given by C(x) = 0.007x³ - 0.003x² + 15x + 4000. Find the marginal cost when 17 units are produced.
- A. 22.107
- B. 18.567
- C. 20.967
- D. 25.007
Answer: C) 20.967
Explanation: Marginal Cost MC = C'(x) = 0.021x² - 0.006x + 15. At x = 17, MC = 0.021(289) - 0.006(17) + 15 = 6.069 - 0.102 + 15 = 20.967.
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