Question

If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor, which of the following constraints reflects this situation?

a. 300x1 + 125x2 > = 4,000
b. 300x1 + 125x2 < = 4,000
c. 425(x1 + x2) < = 4,000
d. 300x1 + 125x2 = 4,000

Answer 1

b. 300x1 + 125x2 < = 4,000

Explanation:

Maximum of 4,000 hours

This means that the the total amount of labor has to be of at most 4,000, that is:

`T \leq 4000`

300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor

The total amount of labor is:

`T = 300x1 + 125x2`

Uniting the two equations:

`T \leq 4000`

`300x1 + 125x2 \leq 4000`

And thus the correct answer is given by option b.