per buffalo is 2 quintals a week. Formulate the problem as a linear programming problem to find the number of live stock of each kind the man has to purchase so as to get maximum profit assuming that he can sell all the quantity milk, he gets from the livestock.
A business man has 6000 R.O. at his disposal and wants to purchase cows and buffaloes to take up a business. The cost price of a cow is 900 R.O. and that of a buffalo is 1200 R.O. The man can store fodder for the live stock to the extent of 40 quintals per week. A cow gives 10 liters of milk and buffalo gives 20 liters of milk per day. Profit per liter of milk of cow is 500 paisa and per liter of the milk of a buffalo is 900 paisa. If the consumption of fodder (animal feed) per cow is 1 quintal and per buffalo is 2 quintals a week. Formulate the problem as a linear programming problem to find the number of live stock of each kind the man has to purchase so as to get maximum profit assuming that he can sell all the quantity milk, he gets from the livestock.
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