Question

In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male) (150 pounds female) how many males and females can fit on the elevator.

Answer 1

see the explanation

Explanation:

Let

x ----> the number of males on the elevator

y ----> the number of females on the elevator

we know that

The inequality that represent this situation is

`180x+150y\leq 2,700`

The solution of the inequality is the shaded area below the solid line
`180x+150y=2,700`

The slope of the solid line is negative

The y-intercept of the solid line is (0,18)

The x-intercept of the solid line is (15,0)

see the attached figure

The solution is the triangular shaded area

The maximum number of females is 18 (when the number of males is zero)

The maximum number of males is 15 (when the number of females is zero)