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A Mail Order Firm, AmazingCo, Can Use One of 3

Question 69

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A mail order firm, AmazingCo, can use one of 3 shipping couriers.Ajax Shipping charges $6 per pound and delivers in 2 days.Bilco Lanes charges $9 per pound but guarantees next day delivery.The final courier, Hobo Ltd., charges only $3 per pound but takes 4 days to deliver.AmazingCo has a quarterly budget of $280,000 and a reputation for timely delivery.Formulate the linear program so that the firm delivers as fast as possible within budget for 70,000 pounds of shipments per quarter.
Let X1 = pounds using Ajax
X2 = pounds using Bilco
X3 = pounds using Hobo

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Minimize 2X1 + 1X2 + 4X3
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