Use the feasible set to find the vertex which maximizes the profit equation,
P = 4x + 5y + 300.
Find the minimum and maximum values of the function f(x, y) = 4x + 3y, if the vertices are (–1, 3), (3, 5), (4, –1) and (–1, –2).
Obtain the minimum and maximum values of the objective function,
C = x + 5y
subject to the following constraints.
x 3
x 6
y 2
y 7
Determine the maximum and minimum values of C.
C = 2x + y
x 1
y 1
3x + 2y 8
x – 2y –2
Graph the inequalities.
Find maxima and minima for f(x,y) = 4x + y
C = –2x + y
x –4
y –2
C = 5x + 4y
subject to the given constraints.
x 0
4x + 5y 20
5x – 4y 25
x + 9y 54
Find maxima and minima for f(x,y) = x – 4y
Given:x 0, y 0, x 4, and y 5. Find the minimum for the objective function Z = 2x + 3y.
Given:x 0, y 0, x + y 7, x + 2y 10 and 2x +y 8. Find the minimum for the objective function Z = 40x + 100y.
C = 8x + 3y
–2x + 3y 1
3x + 2y 6
3x + 2y 11
C = 3x + 2y
3x + 4y 8
4x – 3y 11
2x + 7y 22
C = 5x+ 4y
x+ 9y 54
Given:x 0, y 0, x + y 7, x + 2y 10 and 2x + y 8. Find the minimum for the objective function Z = 40x + 100y.
