Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and d
1 answer:
Answer:
Set of alternative optimal solution : 0 ≤ z ≤ 1.5
Hence There will be an infinite set of Alternative optimal solution
Step-by-step explanation:
considering Cx1 = 4
∴ C = 4 / x1
Cx2 = 6
∴ 4x2 - 6x1 = 0
2x2 - 3x1 = 0 ------ ( 1 )
considering Cx3 = 6
C = 6/x3
Cx4 = 3
∴ (6/x3) x4 - 3 = 0
= 2x4 - x3 = 0 ---- ( 2 )
attached below is the remaining part of the solution
set of alternative optimal solution : 0 ≤ z ≤ 1.5
There will be an infinite set of Alternative optimal solution
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0
The y-intercept is the point (0,1)
so
The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1
point (1,2)
For x=2
point (2,4)
For x=3
point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
Answer:
84x+50
Step-by-step explanation:
First, you would find the area of the entire square. The area of a square is LW, so you would multiply (7x+6)(7x+6). For this, I would use the FOIL method, so you would multiply the first terms which would be (7x)(7x)=14x^2. Then the outside terms, so (7x)(6)=42x. Then the inside, so (7x)(6)=42x. Finally, the last terms, 6(6)=36.
Then you would combine them, so the area of the whole square is which would equal
.
Then, the area of the smaller square is (x)(x) which would equal .
Then you would subtract the smaller square from the bigger one, so the final answer would be which you could simplify to