4. Consider the linear program in problem 3. The value of theoptimal solution is 48. Suppose the right-hand side for constraint1 is increased from 9 to 10.
(problem 3 linear program)
Min 8X+12Y s.t.
1X+3Y≥9
2X+2Y≥10
6X+2Y≥18
A,B≥0
A) Use the graphical solution procedure to find the new optimalsolution.
b) Use the solution to part (a) to determine the shadow pricefor constraint 1.
c) The sensitivity report for the linear program in Problem 3provides the following right-hand-side range information:
Constriant | RHS values | Allowable Increase | Allowable Decrease |
1 | 9.00000 | 2.00000 | 4.00000 |
2 | 10.00000 | 8.00000 | 1.00000 |
3 | 18.00000 | 4.00000 | Infinite |
What does the right-hand-side range information for constraint 1tell you about the shadow price for constraint 1?
d) The shadow price for constraint 2 is 3. Using this shadowprice and the right-hand-side range information in part (c), whatconclusion can be drawn about the effect of changes to theright-hand side of constraint 2?
Please show the steps to solving the problem. Thank you.
