SOLUTION: Find the maximum value of F=7y-4x subjet to
x+y<or=8
4x-3y<or=12
x>or=0
y>or=0
Algebra.Com
Question 163622This question is from textbook College Algebra
: Find the maximum value of F=7y-4x subjet to
x+y
4x-3y
x>or=0
y>or=0
This question is from textbook College Algebra
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First let's graph the feasible region.
The feasible region is the triangle bounded by vertices (3,0),(8,0), and (36/7,20/7).
The final point is determined by equating
and
as shown here,
Then
.
.
.
The max and min of F occur at the vertices of the feasible region.
Check all the points to determine.
.
.
.
(3,0)
.
.
.
(8,0)
.
.
.
(36/7,20/7)
.
.
.
The min value occurs at (8,0) where F=-32.
RELATED QUESTIONS
Find the maximum or minimum value of the function.
f(x) = -x^2 + 4x + 1
state whether... (answered by Boreal)
Find the maximum or minimum value of f(x)= -3x^2... (answered by Earlsdon,RAY100)
Find all vertices. Find Minimum or Maximum value.
{x+y<=6
{2x+y<=10
{x>=o,y>=0... (answered by KMST)
Find the maximum or minimum of: f(x) = x2 + 4x + 4. What is the value of x that produces... (answered by Gogonati)
The x-intercept of a nonhorizontal line is determined by where the line crosses the... (answered by ankor@dixie-net.com)
determine whether the given quadratic function has a minimum or maximum value. then find... (answered by Boreal)
4x + 3y greater than or equal to 30
x + 3y greater than or equal to 21
x greater than (answered by KMST)
Please help with this! I need to graph a system of restrictions and then find the... (answered by rwm)
Find the maximum and minimum of
z=11x+22y subject to x>=0, y>=0, 4x+5y<=30, 4x+3y<=20,... (answered by Fombitz)