Question

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.

Answer 1

Let the umber 2tanderd machiaes & heaue mads be Xi and sespetively duty machines Liduar Poblem Maximize: Subject to 151+ 221 8t1t 10x 200 31 (070140 onidn giues us optimal numbet machines - standard K l0-4 कैनम कितणम

Zoom In Print Graph Zoom Out To graph the LP below, click constraints one at a time, then click objective function (1) Obi 20 iluy x2 Махimize z 3 15.00х1 +22.00х2 subject to 8.00x1 10.00x2 <= 200.00 11 2 3.00x1+ 10.00x2 <= 140.00 (2) all xi0 15 Click here to graph LP in one stroke Optimum 10 10 15 20 |-5 х1

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