10.6.3. Linear Programing and Optimization

A seafood restaurant serves two different kinds of fish; cod and eel. The restaurant needs not more than 75 fishes every day, as it doesn't serve more than 35 cods and 40 eels a day. The price of a cod is LE and that of an eel is LE. If represents the amount of cod, represents the amount of eel, and represents the total price of the fish, state the objective function.

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Example

A seafood restaurant serves two different kinds of fish; cod and eel. The restaurant needs not more than 75 fishes every day, as it doesn't serve more than 35 cods and 40 eels a day. The price of a cod is LE and that of an eel is LE. If represents the amount of cod, represents the amount of eel, and represents the total price of the fish, state the objective function.

Solution

Since the price of a cod is LE, the total price of all cods is LE, and since the price of an eel is LE, the total price of all eels is LE. Therefore, given that the total price of all the fish is , the objective function is . The other information given in the question helps to determine the feasibility region, but it is not needed to determine the objective function.

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