Question

A mall distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load. The loading equipment is able to handle as many as 200 loads per day.

Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents the situation?

Options:
1500x+2000y>=150,000 x+y>=200
2000x+1500y>=150,000 x+y>=200
2000x+1500y<=150,000 x+y<=200
1500x+2000y<=150,000 x+y<=200 ...?

Answer 1

Answer:
`2000x+1500y\leq150,000`

`\Rightarrow x+\leq200`

Explanation:

Let x be the number of loads by land carriers and y be the number of loads by air carriers.

Given: A mall distribution center processes as many as 150,000 pieces of mail each day.

Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load.

`2000x+1500y\leq150,000`

The loading equipment is able to handle as many as 200 loads per day.

`\Rightarrow x+\leq200`

Hence, the system of inequalities represents the situation is

`2000x+1500y\leq150,000`

`\Rightarrow x+\leq200`

Answer 2

2000x+1500y<=150,000 x+y<=200
is the correct option