The marginal cost function C'(x) was defined to be the derivative of the cost function. If the marginal cost of manufacturing x meters of fabric is C'(x) = 2 - 0.002x + 0.000009x² (measured in dollars per meter) and the fixed start-up cost is C(0) = $40,000, use the Net Change Theorem to find the cost of producing the first 3000 units.

Q: A total-cost function is given by C(x) = 1700(x² +5)¹/³ +800 where C'(x) is the total cost, in…

A: the given cost function C(x)=1700(x2+5)(1/3)+800 , for the production of x airplanesrate of change…

Q: The marginal cost (in dollars per box) of producing the xth box of HDMI cables is C'(x)=-…

A: To find the function of C(x) we integrate C'(x) c=integrating constant

Q: 9. Suppose that the marginal cost (i.e. the derivative of cost) is m(x) = 1000 - 2 where x…

A: Given, Marginal cost :  mx = 1000.2-x  Where x represent thousands of items produced . We have to…

Q: Consider the cost function C(x) = 5x³ What is the marginal cost at the production level = 2?

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Q: The profit function for x units produced and sold is given by P(x) = -x2 + 48x - 210.  Determine the…

A: Find derivative of the polynomial with respect to x

Q: The cost (in dollars) of producing 4 items is given by C(q) = 0.03q3 + 8lą + 1000. %3D (a) Find the…

A: C(q)= 0.03q3 + 81q + 1000   a) Marginal cost, C'(q)= (0.03*3) q2 + 81…

Q: Cost The marginal cost for manufacturing an electrical component is $9.25 per unit, and the fixed…

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Q: A manufacturer has total cost function C(x) = 45000 + 100x + x³ (in dollars) and revenue function…

A: