Solve the linear programming problem. Maximize z= 10x+10y subject to 10x+10y ≥200 10x-15y2-50 x+y≤45 x20 y20 … . What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Z= (Type an integer or a fraction.) OB. There is no maximum value of z.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
K
is
Solve the linear programming problem.
Maximize z = 10x+10y
subject to 10x+10y ≥200
View an example Get more help.
$
4
000
000
R
F
V
10x-15y2-50
x+y≤45
x20
y20
%
5
T
G
B
Y
H
&
7
N
U
♫
J
*
8
▶II
M
FB
(
9
K
What is the maximum value of z? Select the
correct choice below and, if necessary, fill in the
answer box to complete your choice.
OA. Z=
(Type an integer or a fraction.)
OB. There is no maximum value of z.
▶▶
Clear all
O
<
)
0
L
4
F10
P
>
Check answer
4)
F11
+ 11
=
?
}
Transcribed Image Text:K is Solve the linear programming problem. Maximize z = 10x+10y subject to 10x+10y ≥200 View an example Get more help. $ 4 000 000 R F V 10x-15y2-50 x+y≤45 x20 y20 % 5 T G B Y H & 7 N U ♫ J * 8 ▶II M FB ( 9 K What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Z= (Type an integer or a fraction.) OB. There is no maximum value of z. ▶▶ Clear all O < ) 0 L 4 F10 P > Check answer 4) F11 + 11 = ? }
4
At what corner point(s) does the maximum value of
z occur? Select the correct choice below and, if
necessary, fill in the answer box to complete your
choice.
OA. The maximum value of z occurs only at
the point(s).
(Type an ordered pair. Use a comma to
separate answers as needed.)
OB. The maximum value of z occurs at the
points and at all points connecting
them.
(Type an ordered pair. Use a comma to
separate answers as needed.)
OC. There is no maximum value of z.
Transcribed Image Text:4 At what corner point(s) does the maximum value of z occur? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum value of z occurs only at the point(s). (Type an ordered pair. Use a comma to separate answers as needed.) OB. The maximum value of z occurs at the points and at all points connecting them. (Type an ordered pair. Use a comma to separate answers as needed.) OC. There is no maximum value of z.
Expert Solution
Step 1

We will draw graphs of in equations to find solution region and then use corner point method to find minimum value of z . 

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