5. Consider the following linear program

Max 16A + 18B

s.t

10A + 30B <= 240

12A + 10B <= 184

a) Use Excel solver the find the optimal solution and generate the sensitivity report. What is the optimal solution?

Use the Sensitivity report to answer the following questions:

b) Assume that the objective function coefficient for A changes from 16 to 11. Does the optimal solution change? Why?

c) Assume that the objective function coefficient for A remains 16, but the objective function coefficient for B changes from 18 to 13. Does the optimal solution change? Why?

d) Based on the shadow price and the right-hand-side range information in Sensitivity report, what conclusion can you draw about the effect of changes to the right-hand side of the constraint 2?