What is the objective function value at the optimal solution

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Consider the following linear programming problem:   

Min 40A + 10B

s.t.   

A + B ≥ 250  

2A – B ≥ 0          

          B ≥ 90      

       A, B ≥ 0     

a. Rewrite this problem in standard form.    

b. At the optimal solution to this problem B = 90; and constraint 1 is binding, what is the value of A?    

c. What is the objective function value at the optimal solution?    

d. Find the slack/surplus for each constraint and determine which constraints are binding. Use the information in the standard form to make your calculations.

Reference no: EM131276897

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