(Question and Answer): Solve the following linear programming problem​ graphically

Solve the following linear programming problem​ graphically:

Maximize Upper Z equals 4 Upper X 1 plus 4 Upper X 2Z=4X1+4X2
Subject​ to: 3Upper X 1X1plus+5Upper X 2X2 less than or equals 150≤150
Upper X 1X1minus−2Upper X 2X2 less than or equals 10≤10
5Upper X 1X1plus+3Upper X 2X2 less than or equals 150≤150
Upper X 1X1​,

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Upper X 2X2

 greater than or equals 0

​1) Using the line drawing​ tool, plot the constraints by picking two endpoints for each line. Do not plot the nonnegativity constraints.

​2) Using the point drawing​ tool, plot the five corner points which define the feasible region.

Expert Answer

Answer

A = 0,30

B = 75/4, 75/4

C = 330/13,100/13

D = 10,0

E = 0,0

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