Question

A company can produce as many as 50 mountain bikes and as many as 60 road bikes per day. It takes 4 hours of labor to produce a mountain bike and 5 hours of labor to produce a road bike. The company has at most 300 hours of labor available per day.

Let x represent the number of mountain bikes per day and y represent the number of road bikes produced per day.
PLEASSE HELP
Four of the constraints for this situation are

x≥0 , y≥0 , x≤50 and y≤60 .

What is the other constraint for the situation?

Enter your answer in the boxes.

Answer 1

Answer: $4x+5y\leq 300$

Step-by-step explanation:

Given: A company can produce as many as 50 mountain bikes and as many as 60 road bikes per day.

If x be the number of mountain bikes and y be the number of road bikes.

Then the constraints will be x≥0 , y≥0 , x≤50 and y≤60 .

It takes 4 hours of labor to produce a mountain bike and 5 hours of labor to produce a road bike. The company has at most 300 hours of labor available per day.

Then the constraint with respect to time will be $4x+5y\leq 300$, which is the remaining constraint to solve the question.