LINEAR PROGRAMMING PROBLEM:
Objective Function Value = 4700.000
Variable Value Reduced Costs
X1 140.000 0.000
X2 0.000 10.000
X3 80.000 0.000
Constraint Slack/Surplus Dual Prices
1 0.000 1.000
2 0.000 2.333
OBJECTIVE COEFFICIENT RANGES:
Variable Lower Limit Current Value Upper Limit
X1 19.286 25.000 45.000
X2 no lower limit 30.000 40.000
X3 8.333 15.000 50.000
RIGHT HAND SIDE RANGES
Constraint Lower Limit Current Value Upper Limit
1 666.667 1200.000 4000.000
2 450.000 1500.000 2700.000
a. Give the complete optimal solution.
b. Give the reduced costs? Explain fully its meaning.
c. What is the dual price for the second constraint? What interpretation does this have?
d. Over what range can the objective function coefficient of x2 vary before a new solution point becomes optimal?
e. By how much can the amount of resource 2 decrease before the dual price will change?
f. Which constraint(s) have a surplus ?Explain
f. Which constraint(s) have a slack ? Explain
Each value is less than the right side of the less than or equal to sign
g. Can this problem be solved using the graphical method?
h. What does the objective function value represent? (Give the breakdown to show how x1, x2 and x3 contribute to the objective function value).
Recently Asked Questions
- Schneiderman v. Trump Entrepreneur Initiative, LLC New York Supreme Court, Appellate Division, First Department, 137 A.D.3d 409, 26 N.Y.S.3d 66 (2016).
- 2. 3. 4. Find the average rate of change off(x)=6x 2 -2on the interval[3,b]. Your answer will be an expression involvingb
- QUESTION 13 Which of the following is an example of a positive externality? A)forbidding the use of cell phones in public B)prohibiting street parking in all