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Minimize c = 0.2x + 0.3y subject to 0.2x + 0.1y ≥ 1 0.15x + 0.3y ≥ 1.5 10x + 10y ≥ 80 x ≥ 0, y ≥ 0. c = (x, y) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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 = 0.2x + 0.3y subject to

0.2x	+	0.1y	≥	1
0.15x	+	0.3y	≥	1.5
10x	+	10y	≥	80
	x ≥ 0, y ≥ 0.

c =

(x, y) =

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