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### Question Description

Solve the linear programming problem by the method of corners.

Find the minimum and maximum of

*P*= 4

*x*+ 2

*y*subject to

3x | + | 5y | ≥ | 20 |

3x | + | y | ≤ | 16 |

−2x | + | y | ≤ | 4 |

x ≥ 0, y ≥ 0. |

*P*=

at

(

.

*x*,*y*) =0, 0

The maximum is

*P*=

at

(

.

*x*,*y*) =5, 1

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