Question

A small truck can carry no more than 1600 pounds of cargo or 210 cubic feet of cargo. A printer weighs 20 pounds and occupies 3 cubic feet of space. A microwave oven weighs 30 pounds and occupies 2 cubic feet of space. Complete parts (a) and (b) below. (a) Using x to represent the number of microwave ovens and y to represent the number of printers, write a system of linear inequalities that describes the number of ovens and printers that can be hauled by the truck. y 2 3x + 2y s

Answer 1

Explanation:

Given that a small truck can carry no more than 1600 pounds of cargo or 210 cubic feet of cargo.

A printer weighs 20 pounds and occupies 3 cubic feet of space.

A microwave oven weighs 30 pounds and occupies 2 cubic feet of space.

Let P be the no of printers and M microwave ovens.

Then the constraints are:

Total weight

=
`20P+30M\leq 1600`

Total volume =

`3P+2M\leq 210`

These are the system of linear inequalities that describes the number of ovens and printers that can be hauled by the truck.