(Solved): A company produces two types ofpens \( \mathrm{A} \) and \( \mathrm{B} \). Pen \( \mathrm{A} \) is ...

A company produces two types ofpens \( \mathrm{A} \) and \( \mathrm{B} \). Pen \( \mathrm{A} \) is of superior quality and pen \( \mathrm{B} \) is of lower quality. Profits on pens 4 and B are Rs 5 and Rs 3 per pen respectively. Raw materials required for each pen Ais twice as that of pen \( \mathrm{B} \). The supply of raw material is sufficient only for 1000 pens per ay. Pen A requires a special clip and only 400 such clips are available per day. For pen B, aly 700 clips are available per day. Analyze this problem as a linear programming problemo get maximum profit. [6 marks]