Question

2. A package delivery service has a truck that can hold 4200 pounds of cargo

and has a capacity of 480 cubic feet. The service handles two types of

packages: small, which weigh up to 25 pounds each and are no more than 3

cubic feet each; and large, which are 50 pounds each and are 5 cubic feet

each. The delivery service charges $5 for each small package and $8 for each

large package. Let x be the number of small packages and y be the number of

large packages in the truck. What is the maximum revenue per truck?

Answer 1

$680

Explanation:

Capacity of the truck: 4200 pounds and 480 cubic feet of cargo.

Small package: 25 pounds and 3 cubic feet each.

Large package: 50 pounds and 5 cubic feet each.

For x number of small packages:

25x pounds and 3x cubic feet

Let x = 8,

200 pounds and 24 cubic feet.

For y number of large packages:

50y pounds and 5y cubic feet

Let y = 80,

4000 pounds and 400 cubic feet.

Since delivery service charges $5 for each small package and $8 for each large package.

The maximum revenue per truck = ($5x + $8y)

= ( $5 x 8) + ($8 x 80)

= $680