SOLUTION: A backpack manufacturer produces an internal frame pack and an external frame pack. Let X represent the number of internal frame packs produced in one hour and let Y represent the

Question 318406: A backpack manufacturer produces an internal frame pack and an external frame pack. Let X represent the number of internal frame packs produced in one hour and let Y represent the number of external frame packs produced in one hour. Then the inequalities X+3<18, 2x+y<16 , x>0 , and y>0 describe the constraints for manufacturing both packs. Use the profit function f(X)=50x+80y and the constraints given to determine the maximum profit for manufacturing both backpacks for the given constraints.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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As you can see the constraint, doesn't even enter into calculating the feasible region because the constraint, really identifies the region.
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Check the value of the function at the three vertices:
(0,0):
(8,0):
(0,16):
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The maximum, 1280, occurs at (0,16).
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