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 produce 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. 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
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