Q9 Old hens can be bought at Rs. 2 each and young ones at Rs. 5 each. The ole hens lay 3 eggs per week and the young ones lay 5 eggs per week, each egg being worth 30 Paise. A hen costs Rs. 1 per week to feed. Mr. Amit has only Rs. 80 to spend for hens. How many of each kind should Mr. Amit buy to give a profit of at least Rs. 6 per week, assuming that Mr. Amit cannot have more than 20 hens. Solve the linear Programming problem graphically.
Ans: Maximize (Z) = 0.3(3×1+5×2)-1(x1+x2)=- 0.1×1+.5×2
Subject to constraints
2×1+5×2≤ 80, x1+x2≤ 20, -0.1×1+5×2≥6
Non Negative Restrictions x1, x2≥0
Z=8, x1=0, x2=16
