Question

Use this output to answer these questions please, I need to understand.

Interpreting an LP output after solving the problem using the software. The following linear programming problem has been solved using the software. Use the output to answer the questions below LINEAR PROGRAMMING PROBLEM MAX 25x1+30x2+15x3 ST. 1) 4X1+5X2+8X3<1200 2) 9x1+15X2+3X3c1500 OPTIMAL SOLUTION: Objective Function Value- 4700.000 Variable Value 140.000 duced Costs 0.000 10.000 0.000 x1 x2 X3 0.000 80.000 Slack/Surplus 0.000 0.000 1.000 2.333 2 OBJECTIVE COEFFICIENT RANGES: Current Value 25.000 30.000 Upper Limit 45.000 40.000 Variable x1 X2 Lower Limit 19.286 No Lower Limit X3 8.333 50.000 15.000 RIGHT HAND SIDE RANGES Lower Limit 666.667 450.000 Current Value 1200.000 1500.000 4000.000 2700.000 b. c. Give the reduced costs? Explain fully its meaning. 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 g. Can this problem be solved using the graphical method? h. What does the objective function value represent? (Give the breakdown to show how xl, x2 and x3 contribute to the objective function value).

Answer 1

Complur optimal solution is Recluced cost for o ơn Cost is that yalue by which one adolitional uni Valua deoraas conati aunt 2 a 333

Both čonotuuli have a slack o. Tuvutot, no haue a auyetus