a bicycle store makes two models of off-road bikes : the X which sells for 250 dollars and the Y which sells for 350 dollars. both use the same frame but the painting and assembly time required for the x is two hours, while the time is 3 hours for the y. there are 375 frames and 450 hours of labor available for production. how many of each model should be produced in order to maximize profit?
What inequalities do i need to solve this linear programming problem ?
Your problem is missing information. It doesn't say how much profit each bike makes. If you want to maximize revenue, then this is how you solve.
You need to maximize the revenue function
revenue=250x+350y
your inequalities are:
x %26gt;= 0 (can't have negative number of bike x)
y %26gt;=0 (can't have negative number of bike y)
2x+3y%26lt;=450 (labor hours)
x+y%26lt;=375 (# of frames)
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