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 + 0.000009x^2 (measured in dollars per meter) and the fixed start-up cost is C(0) = $10,000, use the Net Change Theorem to find the cost of producing the first 3000 units.

Read the following paragraph, and choose the best revision for one of its sentences.dr. blake is retiring at the end of the month. there will be an unoccupied office upon his departure, and it is big in size. because every other office is occupied, we should convert dr. blake’s office into a lounge. it is absolutely essential that this issue is discussed at the next staff meeting. (a) because every other office is occupied, it’s recommended that we should convert dr. blake’s office into a lounge. (b) because every other office is filled, we should convert dr. blake’s office into a lounge.