You are given a linear programming problem. Maximize P = 4x + 3y subject to 5x + 3y ≤ 30 Resource 1 2x + 3y ≤ 21 Resource 2 x ≤ 4 Resource 3 y ≥ 0 x ≥ 0 (a) Use the method of corners to solve the problem. The maximum is P = (______) at (x, y) = (b) Suppose P = cx + 3y. Find the range of values that the coefficient c of x can assume without changing the optimal solution. _≤C≤____ (c) Find the range of values that Resource 1 ≤ (Resource 1) ≤____. can assume. (d) Find the shadow price for Resource 1.
You are given a linear programming problem. Maximize P = 4x + 3y subject to 5x + 3y ≤ 30 Resource 1 2x + 3y ≤ 21 Resource 2 x ≤ 4 Resource 3 y ≥ 0 x ≥ 0 (a) Use the method of corners to solve the problem. The maximum is P = (______) at (x, y) = (b) Suppose P = cx + 3y. Find the range of values that the coefficient c of x can assume without changing the optimal solution. _≤C≤____ (c) Find the range of values that Resource 1 ≤ (Resource 1) ≤____. can assume. (d) Find the shadow price for Resource 1.
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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Transcribed Image Text:You are given a linear programming
problem. Maximize P = 4x + 3y subject to 5x
+ 3y ≤ 30 Resource 1 2x + 3y ≤ 21 Resource
2 x ≤ 4 Resource 3 y ≥ 0 x ≥ 0
(a) Use the method of corners to solve the
problem.
The maximum is P =
(_____)
at (x, y) =
(b) Suppose P = cx + 3y. Find the range of
values that the coefficient c of x can assume
without changing the optimal solution.
≤C≤_____
(c) Find the range of values that Resource 1
≤ (Resource 1) ≤____.
can assume.
(d) Find the shadow price for Resource 1.
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