asiyamustafeali
Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.