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Mazyrski [523]
3 years ago
6

Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and d

z. and with an objective function gradient e such that cx1 =4, cx2 = 6, cx3= 6, cx4=3, cd1= 0, cd2=0, and cd3=2. Characterize the set of alternative optimal solutions to this problem.
Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

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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7 0
3 years ago
On a piece of paper , graph f(x)=2^x then determine which answer choice matches the graph you drew.
amid [387]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=2^x

This is a exponential function of the form

y=a(b^x)

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

f(x)=2^0=1

The y-intercept is the point (0,1)

so

a=1

b=2

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

f(x)=2^1=2

point (1,2)

For x=2

f(x)=2^2=4

point (2,4)

For x=3

f(x)=2^3=8

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

4 0
4 years ago
Read 2 more answers
decide whether enough information is given to prove that the triangle is congruent using the SAS congruence theorem. if so, writ
Paladinen [302]

Answer:

Step-by-step explanation:

Given:

ΔCAD and ΔCBD

∠A ≅∠B (Angle)

AD ≅BD (Side)

From the graph we see that

CD≅CD (Side)

because of reflexive propriety ( a line segment is congruent with itself)

If you put in order those congruencies we have SSA witch does NOT prove congruence.

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8 0
3 years ago
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Firdavs [7]
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3 0
4 years ago
Please help me, how do you do this
lina2011 [118]

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 14x^{2} +42x+42x+36 which would equal 14x^{2} +84x+36.

Then, the area of the smaller square is (x)(x) which would equal x^{2}.

Then you would subtract the smaller square from the bigger one, so the final answer would be 14+84x+36 which you could simplify to 84x+50

3 0
3 years ago
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