A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch. The material for the top costs $4 per square inch while the material for the bottom costs $2 per square inch. What, in inches, would be the height of the most economical box which could be made given these conditions?
- 12 inches
- 15 inches
- 18 inches
- 21 inches
- 24 inches
- 27 inches
- none of these
A hotel manager has 200 rooms available for rent each night. Experience shows that if she charges $40 per night, she will have full occupancy, but that for each $5 that she increases the price, 4 rooms become vacant. All other factors being equal, what will her maximum revenue be?
- $16,820
- $13,520
- $8820
- $12,000
- $11,520
- $18,000
- none of these