Chapter 5.6, Problem 39E

To determine

To write and graph the inequality that represents the numbers of large and small boxes, a $200$ pound delivery can take on the elevator.

Answer to Problem 39E

  $75x+40y\le 1800$

Explanation of Solution

Given:

The large box weigh $75$ pounds and small box weigh $40$ pounds and weight limit is $2000$ lb.

Calculation:

Let the number of large boxes be $x$

And the number of small boxes be $y$

Therefore, as per the question, the following inequality can be formed-

  $\begin{array}{l}75x+40y+200\le 2000\\ 75x+40y\le 1800\end{array}$

The following is the graph-

To determine

To explain why some of solutions might not be practical in real life.

Explanation of Solution

Given:

The large box weigh $75$ pounds and small box weigh $40$ pounds and weight limit is $2000$ lb.

Calculation:

Some solution of the inequality might not be practical in real life because size of the box also plays a vital role. It may happen that the number of boxes might not fit in the lift.

The number of boxes cannot be in decimal number or negative number so it won’t be possible in real life.