Statistics Solutions

(Step-by-Step) The company is building 2 apartment complexes. It must decide how many units to construct in each complex, subject to labor and material constraints.

Question: The company is building 2 apartment complexes. It must decide how many units to construct in each complex, subject to labor and material constraints. The profit generated for each apartment in the first complex is estimated at $900, for each apartment in the second complex $1,500. A partial initial simplex tableau is given:

Cj $900 $1500 $0 $0

Solution

Mix X 1 X 2 S 1 S 2 Qty

$0 S1 14 4 1 0 3,360

$0 S2 10 12 0 1 9,600 Zj $ 0 $ 0 $ 0 $ 0 $0

Cj-Zj $ 900 $ 1500 $ 0 $ 0 $0

  1. Complete the initial tableau (I did this- numbers are in blue)
  2. Reconstruct the problems original constraints excluding slack variables (I did this below)
    14X 1 + 4X 2 < 3360
    10X 1 + 12X 2 < 9600
  3. Write the problems original objective function (I did this too):
    900 X 1 + 1500 X 2
  4. What is the basis for the original solution (I did):
    S 1 = 3360 S 2 = 9600
  5. What variable should enter the solution at the next iteration?
    X 2
  6. What variable should leave the solution at the next iteration?
    S 2
  7. How many units of the variable entering the solution next will be in the basis of the tableau?
    800 Units of X 2
  8. What much will profit increase in the next solution?

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


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