Domestic cows can be bought for $200 each but Hybrid cows cost $500 each. The domestic cows produce 30 gallons of milk per week and the Hybrid ones lay 50 gallons of milk per week. A gallon of milk can be sold for $3. A cow costs $100 per week to feed. If the financial constraint is to spend $8000 for cows and the capacity constraint is that total number of cows to be bought cannot exceed 20 cows. a Formulate a linear programming model for this problem, and find the optimal combination of domestic and hybrid cows that maximize the total profit earned using the graphic Method. b. Solve by using simplex method