SOLUTION: Maximize 5x + 3y Subject to the constraints 5x + 2y <= 40 3x + 6y <= 48 x <= 7 2x - y >= 3 x,y >= 0 Graph the following equation

Question 341432: Maximize 5x + 3y
Subject to the constraints
5x + 2y <= 40
3x + 6y <= 48
x <= 7
2x - y >= 3
x,y >= 0
Graph the following equation

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Determine the feasible region by plotting the constraint equations.

Find the intersection points.
Between the x-axis and

(,)
The other intersection point is (,).
Find the intersection points of and

(,)

Find the intersection point between
1.
2.
From eq. 2,

Substitute into eq. 1,

Then from eq. 2,

(,)
Finally find the intersection point between and

Substitute,

Then

(,)
.
.
.

.
.
.
The maximum and minimum of the function occurs at one of these vertices.
(,) :
(,):
(,):
(,):
(,):
.
.
.
The maximum value is and occurs at (,).

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