Repeat Problem 44 if the profit on a five-speed bicycle increases from $70 to $110 and all other data remain the same. If the slack associated with any problem constraint is nonzero, find it.
Problem 44
A company manufactures three-speed, five-speed, and ten-speed bicycles. Each bicycle passes through three departments: fabrication, painting & plating, and final assembly. The relevant manufacturing data are given in the table.

How many bicycles of each type should the company manufacture per day in order to maximize its profit? What is the maximum profit?

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Labor-Hours per Bicycle Maximum Labor-Hours Three- Five- Ten Available Speed Speed Speed per Day Fabrication Painting & plating 5 3 5 Final assembly Profit per bicycle (S) 80 70 100 120 130 120 4