How do you solve this problem? I’m stuck?

Hotel Prices 3 Comments »
Doug asked:


You manage a 180 unit motel. All units will be occupied, on average, when you charge $50 per day per unit. Experience shows that for each $1 per day per unit that you increase the price, you will accrue 2 vacancies. Each occupied room costs $4 per day to clean and supply. On this basis, what price, in dollars, should you charge per unit per day to maximize your profit?

Bessie

how much should be charged per unit per day to maximize profit?

Hotel Prices 1 Comment »
ello! asked:


You manage a 160 unit motel. All units will be occupied, on average, when you charge $50 per day per unit. Experience shows that for each $1 per day per unit that you increase the price, you will accrue 2 vacancies. Each occupied room costs $4 per day to clean and supply. On this basis, what price, in dollars, should you charge per unit per day to maximize your profit?

a. $87

b. $82

c. $77

d. $72

e. $67

f. $62

g. $57

h. none of these

Adam