Q Mathematics 178 Name: Week 10 Written Assignment Show all work. Answers given without the proper mathematical explanation will receive little to no credit. Suppose the monthly cost, in dollars, of producing x backpacks is C(x) = 0:001x3 + 0:07x2 + 19x + 700 and currently 25 backpacks are produced monthly. 1. What is the current monthly cost? Answer: 2. What would be the additional cost of increasing production to 26 backpacks monthly? Answer: 3. What is the marginal cost when x = 25? Answer: 4. Use the marginal cost to estimate the value of C(27). Answer:

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