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Objective function: z=9x+7y

Constraints:
x ≥0, y ≥0
x+y ≥1
2x+4y ≤16
4x+2y ≤16

Find the objective function, the maximum value of Z, and where the maximum value occurs.


Sagot :

Answer:

The maximum value of z is 43.2 when x=2.7 and y=2.7 . The minimum value of f is 7 when x=0 and y=1

Step-by-step explanation:

f(x,y): z = 9x + 7y   ... (1)

from the graphing we get the vertices of the constraint region formed are:

(0,4) (0,1) (1,0) (4,0) (2.7,2.7)  ... plug in (1)

at (0,4):  z = 28

at (0,1):   z = 7

at (1,0):   z = 9

at (4,0):   z = 36

at (2.7,2.7):   z = 43.2

The maximum value of z is 43.2 when x=2.7 and y=2.7 . The minimum value of z is 7 when x=0 and y=1

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