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+3y0 , 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.