The first constraint in the High Note example in this chapter is 2X1 + 4X2 ≤ 80 (hours of electrician time available) Table M7.17 gives the final simplex tableau for this example on page M7-34. From the tableau, it was determined that the maximum increase in electrician hours was 160 (for a total of 240 hours).
(a) Change the right-hand side of that constraint to 240 and graph the new feasible region.
(b) Find the new optimal corner point. How much did the profit increase as a result of this?
(c) What is the shadow price?
(d) Increase the electrician hours available by one unit more (to 241) and find the optimal solution. How much did the profit increase as a result of this one extra hour? Explain why the shadow price from the simplex tableau is no longer relevant.