Precision Machinists makes two grades of gears for industrial machinery: standard and heavy duty. The process requires two steps.

Precision Machinists 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 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.