Question

please, i really need help with this question. no one seems to know how to do it Find the values of x and y that maximize or minimize the objective function for each of these graphs.

Minimum for P = 3x + y

Answer 1

Umhh.. my Best Suggestion would be finiding a calculator :))

Answer 2

But i have absolutely no idea where to start. can you help? or do you know who can?

Answer 3

@lovablenene

Answer 4

where is the graph ?

Answer 5

one second

Answer 6

here it is @sara12345

Answer 7

Okay, minimum/maximum value occurs at the corners of shaded region

Answer 8

look at the graph,
points A, B and C are the corner points of shaded region, right ?

Answer 9

yes that is correct

Answer 10

you need to evaluate the given objective function at these 3 corner points

Answer 11

ok so what do i do to do that?

Answer 12

P = 3x + y

find the value of P , at A = (2, 1)

Answer 13

put x = 2, y = 1 in P

P = 3x + y
= 3(2) + 1
= 7

Answer 14

similarly,
evaluate P at other two corner points B and C also

Answer 15

3(2) +1

p=7?

Answer 16

Yes 7 is its value at A,

evaluate P at B = (3, 0)

Answer 17

p=4

Answer 18

no i mean 1

Answer 19

P = 3x + y

B = (3, 0)

put x = 3, y = 0 in P, wat do u get ?

Answer 20

oh ok x is 3(3)+0 p=9

Answer 21

good, similarly evaluate P at C also, wat do u get?

Answer 22

c is 0,5 so
p=3(0)+5
p=5

Answer 23

Yes !

so, you got,
P value at A = 7
P value at B = 9
P value at C = 5

Answer 24

ok that part was easy now what.

Answer 25

We're done.

Answer 26

Since, Max/Min value occurs at corner points only, the minimum of above values is the minimum value of objective function.

Answer 27

really??? thank you so much!!!!! you really helped me through it! made a lot of sense ans was easy!!! thank you so,so much!!!!!

Answer 28

that is, Minimum value for objective funciton occurs at C; and the minimum value is 5

Answer 29

glad to hear :) yw !!

Answer 30

Yayyy :))) I just Learned Something New Thanks Too Everyone Who Helped Me Out Too I Dont Understand Most Of This :))