AID22133: A firm produces three products A, B, and C each of which passes through three different departments fabrication, finishing, and packaging. Each unit of product A requires 3, 4 and 2 hours, B requires 5, 4 and 4 hours and C requires 2, 4 and 5 hours in 3 departments respectively. The maximum capacity available is 60 hours in fabrication department, 72 hours in finishing and 100 hours in packaging department. If unit contribution is Rs. 5 for A, Rs. 10 for B and Rs. 3 for C. Then determine number of units of each product so that total contribution to cost is maximized and also determine if any capacity would remain unutilized using simplex method.
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