Find the maximum value of the objective function 9у — 3х subject to the constraints 8x – 11y < 23, Зх + 9y < 48,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the maximum value of the objective
function
9у — Зх
subject to the constraints
8х — 11у < 23,
Зх + 9у < 48,
11х — 2у 2 -34
Find the maximum value of the objective
function
- (11x + y)
subject to the same constraints.
Find the minimum value of the objective
function
11x + y
subject to the same constraints.
First, graph and shade the feasible set, i.e.,
the points (if any) that satisfy the given
constraints. Then find the coordinates of all
of the corner points of the feasible set.
Transcribed Image Text:Find the maximum value of the objective function 9у — Зх subject to the constraints 8х — 11у < 23, Зх + 9у < 48, 11х — 2у 2 -34 Find the maximum value of the objective function - (11x + y) subject to the same constraints. Find the minimum value of the objective function 11x + y subject to the same constraints. First, graph and shade the feasible set, i.e., the points (if any) that satisfy the given constraints. Then find the coordinates of all of the corner points of the feasible set.
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