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

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

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

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

Maximize profit = 30X₁ + 10X₂

Subject to:                        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?

Expert Solution

Colby Messinger answered 3 years ago

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