A lays on an average 4 eggs per week and type B, 5 eggs per week. Eggs sell at Rs. 0.50 each. The feeding cost of type A hen is Rs. 1.50 per week a...

A lays on an average 4 eggs per week and type B, 5 eggs per week. Eggs sell at Rs. 0.50 each. The feeding cost of type A hen is Rs. 1.50 per week and of type B is Rs. 1.90 per week. Maximum of Rs. 180 is to be spent on purchasing hens. How many of each type are to be brought to have maximum profit? Assumed that it is not possible to house more than 20 hens at a time. Formulate this as a linear programming problem and solve it by simplex method.