Q4 A company produces two types of pen, say A & B. Pen A is a Superior quality and Pen B is lower Quality. Profit on pens A & B is Rs. 5 and 3 per pen respectively. Raw material required for each pen A is twice as that for pen B. The supply of raw material is sufficient only for 1000 pens of type B per day. Pen A requires a special clip and only 400 such clips are available per day. For pen B only 700 Clips are available per day. Find graphically the product mix so that the company can make maximum profit.
Ans: Maximize (Z) = 5×1+3×2
Subject to constraints
2×1+x2≤1000, x1≤400, x2≤700
Non Negative Restrictions x1, x2≥0
Z=150 X1=700, X2=2850
