Mathematics Homework Solutions

Linear Programming and the Simplex methods

Consider the following linear programming problem: A workshop of Peter's Potters makes vases and pitchers. Profit on a vase is $3.00; profit on a pitcher is $4.00. Each vase requires ½ hour of labor, each pitcher requires 1 hour of labor. Each item requires 1 unit of time in the kiln. Labor is limited to 4 hours per day a ...continues

Linear Programming and Simplex Methods

The linear programming problem. Minimize 5x - y subject to: -2x - 2y < 12 -3x + 2y > 0 x > 0, y > 0 is equivalent to the linear programming problem: a. Maximize 5x - y subject to: -2x -2y < 12 3x - 2y < 0 x > 0, y > 0 b. Maximize 5x-y subject to: -2x -2y < 12 -3x + 2y > 0 x > ...continues

Linear Programming and simplex methods

Consider the simplex tableau x y u v w M 1 0 3 0 0 0 10 0 0 1 0 1 0 0 0 1 -6 0 0 0 3 0 0 8 1 0 0 7 0 0 5 0 0 1 4 The tableau above is the final one in a problem to minimize -x + 2y. The minimum value of -x + 2y ...continues

Linear Programming and Simplex methods

In the following simplex tableau, the next pivot element is: x y u v M 2 1 0 5 0 20 4 0 1 8 0 32 -3 0 0 2 1 -9 a. 4 in the second row, first column b. 8 in the second row, fourth column c. 1 in the first row, second column d. -3 in the third row, first column e ...continues

Linear Programming and Simplex Methods

Problem: 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 Philadelphi ...continues

Linear Programming and Simplex Methods

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Linear Programming and Simplex Methods

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