Question

20629393 6. -45 points y Notes Ask Your This is Section 3.8 Problem 30: A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupled. For every $3 rise in the charge per room per day, one more room is vacant. Each occupled room costs an additional $16 per day to maintain. (a) The demand function, expressed by p, the price in dollars charged for each room per day, as a function of x, the number of rooms occupied, is P-D(x)- , where x is defined between and (b) The profit function is Ptx)- where x is defined between and (c) To maximize its profit, the price the motel charges should be exact answer has fewer decimal places.) dollars per room per day. (Keep 2 decimal places (rounded), unless the Hint: Follow Example 3. tymbolic Formatting he 7 -45 points My Notes . Ask Your

Answer 1

roomis priced at $60 pardj au 80 γ00ms are occupied in he charg Let ba a number rooms Occupied 2ach 6 these ontiutes 2 rise , in additHnto o$ 300-32 s, (a) P(z) 300-32c , and 6o

ar. PC) (300-3) Total cost, C(x)ニ16x Costs 2 dafined betuueon o and o 0 maximi92 proft

284 = 142 3 6 Reem chaxae P)300-3 그300-3/14-2 158 я, (c) More} should change 15 8 ; das