Suppose the cost C to a company or producing x books is given by C(x) = 1600 - 4

Question

Suppose the cost C to a company or producing x books is given by C(x) = 1600 - 4x + 0.1x2 dollars. What is the cost of producing 110 books? 105 books? 101 books? 100 books? (Round your answers to the nearest cent.) What is the actual additional cost of the 101st book when 100 are being produced? (Round your answer to the nearest cent.) What is the rate at which the cost is changing C'(x) when 100 books are being produced? Include units. What is the difference between your answers to (b) and (c)? Would you say (c) approximates (b) well? We normally refer to C'(x) as the marginal cost function, instead of the function C(x + 1) - C(x). When we make a measurement M that is off by E (the error) from the correct value, we call the ratio E/M the percentage (or relative) error. What is the percentage error of our approximation for the cost of the 101st book? (Round your answer to two decimal places.)

Explanation / Answer

I think you have problem with c, d ande e

c.) dc/dx = rate of change of cost with change in books = -4 + 0.2x =(-4 + 0.2 * 100)for 100th book = 16 dollars

d.) c - dc = 16.1 dollars - 16 dollars = 10 cents

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