The demand function for the luminar desk lamp is given by p = f(x) = −0.1x2 − 0.3x + 20 where x is the quantity demanded in thousands and p is the unit price in dollars. (a) find f '(x). f '(x) = −.2x−.3 (b) what is the rate of change of the unit price when the quantity demanded is 7000 units (x = 7)? $ per 1000 lamps what is the unit price at that level of demand

Which of the following statements accurately describes how costs and benefits are calculated?

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.

Luggage world buys briefcases with an invoice date of september 28. the terms of sale are 2/10 eom. what is the net date for this invoice