lilme8p
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PLEASE HELP



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.

Please hellppp

Respuesta :

Answer:

The other constraint for this situation will be:  [tex]4x+5y\leq 300[/tex]

Step-by-step explanation:

The company takes 4 hours of labor to produce a mountain bike and 5 hours of labor to produce a road bike.

Here, [tex]x[/tex] represents the number of mountain bikes per day and [tex]y[/tex] represents the number of road bikes produced per day.

So, the total number of hours taken to produce [tex]x[/tex] mountain bikes [tex]=4x[/tex]

and the total number of hours taken to produce [tex]y[/tex] road bikes [tex]=5y[/tex]

Given that, the company has at most 300 hours of labor available per day. That means, the maximum number of hours should be 300.

So, the other constraint for this situation will be:  [tex]4x+5y\leq 300[/tex]