Question

Asked Feb 25, 2020

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Solve the linear programming problem by the method of corners.

Minimize | C = 5x + 7y | ||||

subject to | 4x | + | y | ≥ | 44 |

2x | + | y | ≥ | 30 | |

x | + | 3y | ≥ | 30 | |

x ≥ 0, y ≥ 0 |

The minimum is *C* =

(x, y) =

.

.

Step 1

Given minimization problem is,

Step 2

Common region is,

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