Q 1 : A car rental agency rents 210 cars per day at a rate of 32 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income?
rate? ______ maximum income? ______
Q 2 : A box is to be made out of a 12 cm by 16 cm piece of cardboard. Squares of side length x cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.
Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W \leq L).
L=? ______ cm
W=? ______ cm
H=? _______ cm
The maximum volume of the box is ___________ cm^3
rate? ______ maximum income? ______
Q 2 : A box is to be made out of a 12 cm by 16 cm piece of cardboard. Squares of side length x cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.
Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W \leq L).
L=? ______ cm
W=? ______ cm
H=? _______ cm
The maximum volume of the box is ___________ cm^3