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Linear programming. Solve the following two (2) Linear programming problems (#1 and #2) and then answer question...

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Advance Math

Linear programming.

Solve the following two (2) Linear programming problems (#1 and#2) and then answer question 3:

1.. Solve the following LP problem graphically:

Maximize profit =           X +10Y

Subjectto:                       4X + 3Y < /= 36
                                          2X +4Y < / = 40
                                          Y > / = 3
                                          X, Y > / = 0

2. Considering the following LP problem and answer thequestions, Part a and Part b:

Maximize profit =          30X1 + 10X2

Subjectto:                       3X1 + X2 < /= 300
                                          X1 +X2 < / = 200
                                          X1 < / = 100
                                          X2 > / = 50
                                          X1 – X2 < / = 0
                                          X1, X2 > / = 0

a. Solve graphically
b. Is there more than one optimal solution? Explain

3. How many feasible solutions are there in a LP program/problem?Which ones do we need to examine to find the optimal solution?

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