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# Linear Programming and Simplex Methods : Objective Function

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New cars are transported from docks in Baltimore and New York to dealerships in Pittsburgh and Philadelphia. The dealership in Pittsburgh needs 20 cars and the delaership in Philadelphia needs 15 cars. It costs \$60 to transport a car from Baltimore to Pittsburgh, \$45 to transport a car from Baltimore to Philadelphia, \$65 to transport a car from New York to Philadelphia. There are 30 cars on the docks in Baltimore and there are 18 cars on the docks in New York. The number of cars sent from each dock to each dealership is chosen to minimize total transportation costs. If x represents the number of cars sent from Baltimore to Philadelphia and y represents the number of cars sent from New York to Pittsburgh, then the objective function is:

a. 105x + 105y
b. 5x+5y + 1800
c. -15x - 15y +180
d. 45x +65y.
e. None of the above

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#### Solution Preview

We should use three variables

x represents the number of cars sent from Baltimore to ...

#### Solution Summary

linear programming and simplex methods for objective functions are examined.

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