Math Solutions

[Solved] The first constraint in the example in this chapter is: 2X 1 + 4X 2 < 80 (hrs of electricians time available) Table 9.17 gives the final simplex

Question: The first constraint in the example in this chapter is:

2X 1 + 4X 2 < 80 (hrs of electricians time available)

Table 9.17 gives the final simplex tableau for this example. From the tableau is was determined that the maximum increase in electrician hours was 160 (for a total of 240 hours).

Cj $ 50 $ 120 $0 $ 50

Solution

Mix X 1 X 2 S 1 S 2 Qty

$120 X 2 1/2 1 1/4 0 20

$0 S 2 5/2 0 -1/4 1 40 Zj $60 $120 $30 0 $2,400

Cj-Zj -$10 $0 -$30 0

  1. Change the right hand side of that constraint to 240 and graph the new feasible region.
  2. Find the new optimal corner point. How much did the profit increase as a result of this?
  3. What is the shadow price?
  4. 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.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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