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Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Minimize c = 0.3x + 0.2y subject to 0.1x + 0.2y 2 1 0.3x+ 0.15y > 1.5 10x + 10y > 80 x 2 0, y 2 0. C = (x, y) =|

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Minimize c = 0.3x + 0.2y subject to 0.1x + 0.2y 2 1 0.3x+ 0.15y > 1.5 10x + 10y > 80 x 2 0, y 2 0. C = (x, y) =|

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 40E
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Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Minimize c = 0.3x + 0.2y subject to 0.1x+ 0.2y> 1 0.3х + 0.15y2 1.5 10x + 10y > 80 х20, у2 0. с 3 (х, у) -
Transcribed Image Text:Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Minimize c = 0.3x + 0.2y subject to 0.1x+ 0.2y> 1 0.3х + 0.15y2 1.5 10x + 10y > 80 х20, у2 0. с 3 (х, у) -
Expert Solution
Step 1

Given : LP problem

  Minimize   c=0.3x+0.2y   subject to          0.1x+0.2y≥10.3x+0.15y≥1.510x+10y≥80x≥0, y≥0

To find : value of c and the point at which optimal solution is obtained

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