Feedco produces two types of cattle feed, both consisting totally of wheat and alfalfa

Feedco produces two types of cattle feed, both consisting totally of wheat and alfalfa. Feed 1 must contain at least 80% wheat, and feed 2 must contain at least 60% alfalfa. Feed 1 sells for $1.50 per pound, and feed 2 sells for $1.30 per pound. Feedco can purchase up to 1000 pounds of wheat at $0.50 per pound and up to 800 pounds of alfalfa at $0.40 per pound. Demand for each type of feed is unlimited.Formulate algebraically a linear programme to maximise FarmProd’s profit.
To ensure the loyalty of its main customer, FarmProd has decided to give him a quantity discount. If the customer purchases more than 300 pounds of feed 1, each pound over the first 300 pounds will sell for only £1.25 per pound. similarly, if the customer purchases more than 300 pounds of feed 2, each pound over the first 300 pounds will sell for £1.00 per pound. b) Re-formulate algebraically the LP from the previous question to account for the presence of quantity discount.


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