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Linear Programming Problem

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Below is the computer solution to a linear programming problem linear programming:

For the above information, answer the following:

a) What are the objective function and the constraints?

b) What are the values of the variables at optimality and what is the value of the objective function at optimality?

c) If there was an opportunity to purchase additional units of each resource (as expressed by the constraints), which resource(s) would you consider for purchase? Why? Identify all of the resources that you would consider.

d) Of those resources that you identified in c), which would you purchase first? Why?

e) If you did not identify a resource in c), explain why you did not select this resource?

f) Suppose the contribution of variable X2 in the objective function increases by 10. What are the values of the variables at optimality now and what is the value of the objective function at optimality with this change? Use sensitivity analysis in answering this question and provide the sensitivity analysis information you used.