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Electric Machines Company Manufacturing for Maximum Profits

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Electric Machines makes two grades of gears for industrial machinery: standard and heavy duty. The process requires two steps. Step-1 takes 8 minutes for the standard gear and 10 minutes for the heavy duty. Step-2 takes 3 minutes for the standard gear and 10 minutes for the heavy duty. The company's labor contract requires that it use at the most 200 labor-hours per week on the Step-1 equipment and at most 140 labor-hours per week on the Step-2 equipment. The profit contributions are \$15 for each standard gear and \$22 for each heavy duty. How many of each gear should be made each week to maximize profits? Find the optimal solution using the graphical solution technique.

Solution Preview

Step 1) Define the variables.
Let s = number of standard gears made
Let h = number of heavy duty gears made

Step 2) Write the objective function
Maximize Profit = 15s + 22h

Step 3) List the constraints. Convert all hours into minutes. I've color-coded ...

Solution Summary

This solution provides a step by step graphical solution is presented in 2 pdf files.

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