91影视

A trailer can carry a maximum weight of $160$pounds and a maximum volume of $15$cubic feet.

A microwave oven weighs $30$pounds and has $2$cubic feet of volume.

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

Let, $m$be number of microwaves and $p$be number of printers

A microwave oven weighs $30$pounds, a printer weighs $20$pounds and maximum weight trailer can carry is $160$pounds. Therefore, the required inequality is: $30m+20p鈮�160$.

Volume of microwave is $2$cubic feet, volume of printer is $3$cubic feet and maximum volumetrailer can carry is $15$cubic feet. Therefore, the required inequality is: $2m+3p鈮�15$.

We have system of inequalities:$\left\{\begin{array}{l}30m+20p鈮�160\\ 2m+3p鈮�15\end{array}\right.$

Below is the graph of the system of inequalities: $\left\{\begin{array}{l}30m+20p鈮�160\\ 2m+3p鈮�15\end{array}\right.$

To determine whether $4$microwaves and $2$printers can be carried on the trailer, check whether the point $(4,2)$in the double shaded region on the graph. As the point is in the region, $4$microwaves and $2$printers can be carried on the trailer.

To determine whether $7$microwaves and $3$printers can be carried on the trailer, check whether the point $(7,3)$isin the double shaded region on the graph. As the point is not in the region, $7$microwaves and$3$ printers cannot be carried on the trailer.