Asiyamustafealiidn
Answered

IDNLearn.com offers a user-friendly platform for finding and sharing knowledge. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

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

View image Lynnkc2000
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.