Maximize −4x + 5y + 70 subject to the constraints:

2x + y ≤ 8
x + 3y ≥ 5
x + y ≤ 6
x ≥ 0,
y ≥ 0

a. Fix any constraints, as needed, and then convert the linear programming problem into a system of linear equations.
b. Give a fully labeled initial tableau, and circle the pivot element.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\text{To maximize -4x + 5y + 70 subject to } \\ \\ 2x + y \le 8 --- (1) \\ \\ x + 3y \ge 5 --- (2) \\ \\ x + y \le 6----(3) \\ \\ x \ge 0, y \ge 0[/tex]

[tex]\text{From above equationn (1)} : 2x + y = 8 \\ \\ \text{Divide boths sides by 8} \\ \\ \dfrac{2x}{8} + \dfrac{y}{8} = \dfrac{8}{8}[/tex]

[tex]\dfrac{x}{4} + \dfrac{y}{8} = 1 \\ \\ x = 4; y = 8[/tex]

[tex]\text{From above equationn (2)} : x + 3y = 5 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{5} + \dfrac{3y}{5} = \dfrac{5}{5} \\ \\ x = 5; \ y = 1.66[/tex]

[tex]\text{From above equation (3)} : x + y = 6 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{6} + \dfrac{y}{6} = \dfrac{6}{6} \\ \\ x = 6; \ y = 6[/tex]

[tex]\text{From the image attached below, we can see the representation in the graph}[/tex]

-   [tex]\text{Now from equation (1) ad (III)} \\ \\ 2x + y = 8 \\ \\ x+y = 6[/tex]

                 

    [tex]x[/tex]      [tex]= 2[/tex]

                 

[tex]From : x + y = 6 \\ \\ 2 + y = 6 \\ \\ y = 6-2 \\ \\ y =4[/tex]

[tex]\text{From equation (1) and (II) } \\ \\ \ \ 2x + y = 8 \\ - \\ \ \ x + 3y = 5 \\ \\[/tex]

[tex]-5y = -2 \\ \\ y = \dfrac{2}{5} \ o r\ 0.4 \\ \\ From : 2x+ y = 8 \\ \\ 2x = 8 - \dfrac{2}{5} \\ \\ x = \dfrac{ 8 - \dfrac{2}{5} }{2} \\ \\ x = 3.8[/tex]

Maximize 4x + 5y + 70 Subject To The Constraints: 2x + Y 8 X + 3y 5 X + Y 6 X 0, Y 0 A. Fix Any Constraints,

Related Questions

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Whoever responds first will get marked Best.
The amount of wallpaper needed to cover the wall is an example of which
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Step-by-step explanation:

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Answer:

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Cayle the cat 3.1.4 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals

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Answer: hello the options related to your question is missing attached below are the missing options

answer : Neither the 95% nor the 99% intervals will contain 0.25  ( B )

Step-by-step explanation:

Given that ;

H0 : = 0.25

Ha : ≠ 0.25

p-value = 0.002

also 95% and 99% confidence intervals are constructed

p value = 0.002        i.e. < 0.01  ∝ < 0.05 ∝

This means that we reject null hypothesis in both cases when  (∝ =0.05 and ∝ = 0.01 )

Hence The true statement about my confidence intervals is :

Neither the 95% nor the 99% intervals will contain 0.25

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Answers

6/2.75 = 2.18

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the manager of a school radio station is conducting a survey she wants to find out which type of music introvert how would the manager most likely get a random sample that represents the school population

Answers

Answer:

type of music students prefer. How would the manager most likely get a random sample

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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pls help with math that’s attached

Answers

Answer:

TU = 28.5

Step-by-step explanation:

The triangles are congruent because of side-angle-side

TU = VU because corresponding sides of congruent triangles are congruent.

so:

3x + 9 = 7x - 17

simplify:

4x = 26

x = 6.5

TU = 3(6.5 + 9) = 19.5 + 9 = 28.5

Answer:

3x+9=7x-17

26 = 4x

x=6.5

TU:28.5

Work out (5 x 10^3) (9 x 10^7)
Give your answer in standard form.

Answers

Answer:

(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10

(5x10^3)(9x10^7)=4.5x10^11
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Pls help. Im so lost.

Answers

Answer:

x = 35 degrees

Step-by-step explanation:

supplementary angles = 180 degrees

m<A + m<B = 180

(2x - 5) + 3x = 180

5x - 5 = 180

5x = 175

x = 35

Help with this pls if you don’t know the answer please don’t answer

Answers

i believe madison can drive 292.5 miles in 6.5 hours
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Please help with math question.

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

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Answers

Answer:

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Step-by-step explanation:

portion of square empty =  256 - 153.86 = 102.14cm^2

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He owes 368 stamps which leaves him with 640 stamps left.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

nc2ecnw

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Answers

I think it’s D sorry if I’m wrong

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What is the Volume of rectangular pyramid?

The volume of the rectangular pyramid is defined as the capacity of the rectangular pyramid. In geometry, a rectangular pyramid is a three-dimensional geometric shape that has a rectangular base and four triangular faces that are joined at a vertex.

Here, height of pyramid = 6 inches

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Answers

Step-by-step explanation:

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Answers

Step-by-step explanation:

Given interval

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Or

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Answers

Answer:

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Step-by-step explanation:

It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.

Item 5
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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Three landmarks of baseballachievement are Ty Cobb’s batting average of 0.420 in 1911,Ted Williams’s 0.406 in 1941, and George Brett’s 0.390in 1980. These batting averages cannot be compared directly becausethe distribution of major league batting averages has changed overthe years. The distributions are quite symmetric and (except foroutliers such as Cobb, Williams, and Brett) reasonably normal.While the mean batting average has been held roughly constant byrule changes and the balance between hitting and pitching, thestandard deviation has dropped over time. Here are the facts:
Decade
Mean
Standard Deviation
1910s
0.266
0.0371
1940s
0.267
0.0326
1970s
0.261
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Answers

Answer:

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Step-by-step explanation:

Given the data:

Decade : 1910 __ 1940 ____ 1970

Mean, μ: 0.266 __0.267 ___ 0.261

S/dev, σ : 0.0371 _ 0.0326 __ 0.0317

To compute the standard unit for batting averages, we obtain the standardized score for each of Cobb,Williams, and Brett.

Standardized score (Zscore) : (x - μ) / σ

Cobb, x = 0.420

Ted Williams, x = 0.406

George Brett, x = 0.390

COBB:

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Ted Williams :

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Ted Williams has the highest standardized score, hence Williams is the best of the three

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Answers

Answer:

-3

Step-by-step explanation:

so you SUBSTITUTE -2 in for z

ok i think they are trying to be tricky here

so

-1 - (-(-2))

inside parentheses, the two negatives are going to cancel eachother out.

now you have

-1 - (2)

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Answers

Find the stationary points.

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f '(x) = 1 - 16/x ²

Solve f '(x) = 0.

1 - 16/x ² = 0   →   x ² = 16   →   (x - 4) (x + 4) = 0

→   x = -4, x = 4

Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.

f (4) = 8

Check the value of f at the boundary of the domain.

f (0.2) = 401/5 = 80.2

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Find the distance, c, between (0, –4)
and (1, 5)
on the coordinate plane. Round to the nearest tenth if necessary.

Answers

Answer:

d ≈ 9.05

Steps:

d = √( (1-0)² + (5-(-4)² )

d = √( 1² + (5+4)² )

d = √( 1 + 9² )

d = √( 1 + 81 )

d = √82

d ≈ 9.05

You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.

Answers

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

On a drive from one city to​ another, the person averaged 51 mph. If he had been able to average 72 ​mph, he would have reached his destination 7 hrs earlier. What is the driving distance between one city and the​ other?

Answers

Answer: 1224 miles

Step-by-step explanation:

Given

the average speed of a person is 51 mph

If speed is increased to 72 mph, he would have reached 7 hr earlier

Suppose d and t be the distance and time taken

[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]

If the speed is 72 mph

[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]

Also, [tex]t_1-t_2=7[/tex]

[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]

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