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

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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. 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.


Definitions:

Antifreeze

A liquid added to the water in a cooling system to lower its freezing point, commonly used in automobile engines.

Cooling System

A system designed to remove heat from an area or machinery, commonly using a fluid or air to transfer heat away.

Algebraic Expression

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operation symbols, but no equality sign.

Ratio

A relationship between two numbers indicating how many times the first number contains the second.

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