New Simplex Tableau:
| Basis | x1 | x2
To use the simplex tableau method to solve the given linear programming problem, we need to convert it into standard form. The standard form includes non-negativity constraints and all inequalities as less than or equal to constraints. Let's rewrite the problem in standard form:
Maximize: Z = 2x1 + 5x2 + 4x3
Subject to:
x1 + x2 + 2x3 + x4 = 20
2x1 + x2 + x3 + x5 = 10
0x1 + x2 - x3 + x6 = 5
3x1 + 0x2 + 3x3 + x7 = 12
x1, x2, x3, x4, x5, x6, x7 ≥ 0
Now, let's construct the initial simplex tableau:
Basis x1 x2 x3 x4 x5 x6 x7 RHS
x4 1 1 2 1 0 0 0 20
x5 2 1 1 0 1 0 0 10
x6 0 1 -1 0 0 1 0 5
x7 3 0 3 0 0 0 1 12
Z -2 -5 -4 0 0 0 0 0
Next, we will perform iterations to find the optimal solution. The goal is to make the coefficients in the Z row non-negative. We will select the most negative coefficient as the pivot column and the smallest ratio of the RHS to the pivot column value as the pivot row.
Iteration 1:
Pivot Column: x2 (most negative coefficient)
Pivot Row: x6 (smallest ratio of RHS / pivot column value)
Perform row operations to make x6 a basic variable:
Row 3 = Row 3 / 1
Perform column operations to clear the pivot column:
Row 1 = Row 1 - 1 * Row 3
Row 2 = Row 2 - 1 * Row 3
Row 4 = Row 4 - 0 * Row 3
Row 5 = Row 5 + 5 * Row 3
New Simplex Tableau:
Basis x1 x2 x3 x4 x5 x6 x7 RHS
x4 1 0 3 1 0 0 0 15
x5 2 0 2 0 1 0 0 35
x2 0 1 -1 0 0 1 0 5
x7 3 0 3 0 0 0 1 12
Z -2 0 -3 0 0 5 0 20
Iteration 2:
Pivot Column: x3 (most negative coefficient)
Pivot Row: x4 (smallest ratio of RHS / pivot column value)
Perform row operations to make x4 a basic variable:
Row 1 = Row 1 - 3 * Row 4
Row 2 = Row 2 - 2 * Row 4
Row 3 = Row 3 - (-1) * Row 4
Row 5 = Row 5 - 3 * Row 4
Perform column operations to clear the pivot column:
Row 2 = Row 2 - 2 * Row 5
Row 1 = Row 1 - 3 * Row 5
Row 3 = Row 3 - (-1) * Row 5
Row 7 = Row 7 - 0 * Row 5
New Simplex Tableau:
| Basis | x1 | x2
Learn more about Simplex Tableau from
https://brainly.com/question/31400001
#SPJ11
x + 9 < 12
show your work
Answer:
X + 9 < 12
X + 9 - 9 < 12 - 9
X < 3
Step-by-step explanation: is pretty simple
Simplify (3x-2)(9x^2-12x+4)
Answer:
yeah noooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
Pls help I need this question answered asap question is in the pic
Answer:
142 degree
Step-by-step explanation:
x=142degree(being external alternate angles)
When someone just starts a company and adds 60,000 cash to
start, will this 60,000 be considered beginning cash for the cash
flow statement?
When someone just starts a company and adds $60,000 cash to start, it will be considered beginning cash for the cash flow statement. The cash flow statement presents an overview of the cash that comes in and goes out of a company. It categorizes the cash flows into three main categories:
operating activities, investing activities, and financing activities. The cash flow statement provides information regarding the amount of cash that is flowing in and out of the company. The statement of cash flows is used to determine a company's liquidity and the ability to meet short-term obligations.The cash flow statement's beginning cash balance should be the amount of cash that the company had at the beginning of the reporting period. In this case, the $60,000 would be the beginning cash balance for the cash flow statement.
When someone just starts a company and adds $60,000 cash to start, it will be considered beginning cash for the cash flow statement. The cash flow statement is a critical financial statement that presents an overview of the cash that comes in and goes out of a company. It categorizes the cash flows into three main categories: operating activities, investing activities, and financing activities. The cash flow statement provides information regarding the amount of cash that is flowing in and out of the company. The statement of cash flows is used to determine a company's liquidity and the ability to meet short-term obligations.The cash flow statement's beginning cash balance should be the amount of cash that the company had at the beginning of the reporting period. In this case, the $60,000 would be the beginning cash balance for the cash flow statement. The beginning cash balance is important because it sets the stage for the cash flows that will be presented in the statement. The cash flow statement's beginning cash balance is calculated by taking the previous reporting period's ending cash balance. The ending cash balance from the previous reporting period would be $0 since the company did not exist yet. The $60,000 would, therefore, be the beginning cash balance for the cash flow statement.
To summarize, when someone starts a new company and adds $60,000 cash to start, the $60,000 will be considered beginning cash for the cash flow statement. The cash flow statement is a critical financial statement that provides information on the cash that comes in and goes out of a company. The beginning cash balance for the cash flow statement is the amount of cash that the company had at the beginning of the reporting period. Since the company did not exist in the previous reporting period, the $60,000 will be the beginning cash balance for the cash flow statement.
To know more about short-term obligations :
brainly.com/question/30759085
#SPJ11
-3(x – 8) + 0.5x
A
-3x + 24
B
-2.5x + 21
С C
-2.5x -24
D
-3.5x 21
Hurry & answer
Find the total surface area of the right circular cylinder, where r = 17 and h = 39. Give the exact answer and an approximation to the nearest tenth. The measurements are in feet. See Example 3. ft² ~ ft² r h Find the total surface area of the right circular cone, where r = 39 and h = 52. Give the exact answer and an approximation to the nearest tenth. The measurements are in inches. See Example 5. in²= in²
1. The exact answer for the total surface area of the right circular cylinder is 5986.4 square feet
2. the exact answer for the total surface area of the right circular cone is 10408.4 square feet.
1. The formula to find the total surface area of the right circular cylinder with radius r and height h is:
2πr(h + r)
So, substituting r = 17 and h = 39, we get the total surface area of the right circular cylinder as follows:
2πr(h + r)
= 2π(17)(39 + 17)
= 2π(17)(56)
= 1904π
Therefore, the exact answer for the total surface area of the right circular cylinder is 1904π square feet. Rounding off to the nearest tenth, we get the approximation as: 1904π ≈ 5986.4 square feet.
2. The formula to find the total surface area of the right circular cone with radius r and height h is:
πr(l + r),
where l is the slant height of the cone and is given by:
l = [tex]\sqrt{(r^2 + h^2)}[/tex]
So, substituting r = 39 and h = 52, we get the total surface area of the right circular cone as follows:
πr(l + r)
= π(39)[tex]\sqrt{[((39^2 + 52^2)) + 39] }[/tex]
= π(39)(85) = 3315π
Therefore, the exact answer for the total surface area of the right circular cone is 3315π square inches. Rounding off to the nearest tenth, we get the approximation as: 3315π ≈ 10408.4 square inches.
To leran more about total surface area, refer:-
https://brainly.com/question/8419462
#SPJ11
100 points if someone gets it right
A rectangluar prism has volume of 2,691 centimeters, length 13 centimeters, and height 23 centimeters. Find its width, in centimeters
Answer:
The width is 9 cm
Step-by-step explanation:
Since the formula for the volume of a rectangular prism is,
Volume = (Height)(Length)(Width)
So,
Width = (Volume)/((Height)(Length))
Now, Volume = 2691, Height = 23, Length = 13, so, we get for the width,
Width = (2691)/((23)(13))
Width = 117/13
Width = 9
So the width is 9 cm
Answer:
9 cm
Step-by-step explanation:
Let's use the formula for the volume of a rectangular prism:
Volume = length * width * height
We know that the volume is 2,691 centimeters, the length is 13 centimeters, and the height is 23 centimeters.
We can plug these values into the formula to find the width:
2,691 = 13 * width * 23
2691=299*width
width=2691/299
width = 9 centimeters
Therefore, the width of the rectangular prism is 9 centimeters.
please help fasttttt
Answer:
i can agree to the answer that u have rn
On Monday Sophie ran 4 5/6 laps of a running track and on Tuesday she ran 5 3/4
of a running track. What was the total distance she ran over the two days?
Answer:
10 7/12
hope this is right
Step-by-step explanation:
4 5/6 = 29/6 as an improper fraction
5 3/4 = 23/4 as an improper fraction
you times the two denominators together = 24
you times 29 by 4 = 116
you times 23 by 6 = 138
you add 116 and 138 = 254
you put this over 24 = 254/24
simplify this = 127/12
you make this a mixed number = 10 7/12
the answer is 10 7/12
Find the slope of the line that passes through (1, 2) and (2, 4)
2×-6=12
can someone help me with this problem it's complicated I don't understand it and I just dont get it
Answer:
2 multiply by six is 12
Step-by-step explanation:
this answer is not correct
the answer would be -12 as the biggest no. is 6 and it contains - sign
hope it helps you pls mark me as brainlest
if not possible the just thank and vote
Which set of algebra tiles represents the sentence below? Carlton earned 3 more stamps. 1 box contains x and 3 boxes contain plus signs. 1 box contains x and 3 boxes contain minus signs. 3 boxes contain x and 1 box contains a plus sign. 3 boxes contain negative x and 1 box contains a plus sign.
Answer:
The answer is A.
Step-by-step explanation:
Made a 100 on the quiz on E2020
Answer:
The correct answer is A
Step-by-step explanation:
Please help fnjikfdkolaoi Real answers please-
Answer:
14/100
Step-by-step explanation:
Honestly, im not 100% sure im right but i think that's the answer. You turn a decimal by placing the given number over whatever decimal place its in. in this case .14 is read as 14 hundredths so you place it over 100.
HELPPP FASTTT PLEASEEE
Answer:
y=3/2x+-5
Step-by-step explanation:
slope int formula is y=mx+b.
mx is the slope
b is the y int
The following frequency distribution displays the weekly sales of a certain brand of television at an electronics store.
Number Sold Frequency
01-05 4
06-10 12
11-15 14
16-20 12
21-25 11
How many weeks of data are included in this frequency distribution?
a. 28
b. 53
c. 78
d. 106
The correct answer is 53 weeks of data are included in this frequency distribution.
To determine the number of weeks of data included in the frequency distribution, we need to sum up the frequencies for each category.
Number Sold Frequency
01-05 4
06-10 12
11-15 14
16-20 12
21-25 11
Adding up the frequencies:
4 + 12 + 14 + 12 + 11 = 53
Learn more about frequency distributions visit here:
brainly.com/question/30366793
#SPJ11
Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5*10^7. His teacher told him he was incorrect. Explain Jordan's
mistake and determine the correct answer.
Step-by-step explanation:
The scientific notation of any number is given by :
[tex]N=a\times 10^b[/tex]
a is any real no and b is any integer
The scientific notation of 345,000,000 should be [tex]3.45\times 10^8[/tex] but Jorden wrote 34.5×10⁷. He is incorrect. He should have shifted decimal before 4 such that power of 10 becomes 8.
a variable is normally distributed with a mean of 16 and a standard deviation of 6. find the percent of thedata set that:
The percentage of the data set within the range of 10 to 22 is 68.26%.
To find the percentage of the data set for a normally distributed variable with a mean of 16 and a standard deviation of 6, we can use the concept of z-scores and the standard normal distribution.
First, we need to convert the values to z-scores, which measure the number of standard deviations a particular value is from the mean. The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
In this case, we want to find the percentage of the data set within a certain range. Let's say we want to find the percentage of the data set between 10 and 22. We can calculate the z-scores for these values:
[tex]z1 = (10 - 16) / 6 = -1.0[/tex]
[tex]z2 = (22 - 16) / 6 = 1.0[/tex]
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between these z-scores. The area between -1.0 and 1.0 represents the percentage of the data set within the range of 10 to 22.
Looking up the z-scores in the standard normal distribution table, we find that the area between -1.0 and 1.0 is approximately 0.6826. This means that approximately 68.26% of the data set falls within the range of 10 to 22.
Therefore, the percentage of the data set within the range of 10 to 22 is 68.26%.
For more questions on percentage
https://brainly.com/question/24877689
#SPJ8
Under king Darius I, the persian empire: A. Forced captured people to give up their religions beliefs. B. Connected different religions using roads and a postal service. C. Gave governors powerful armies to rule their subjects. D. Broke up into city-states with free government.
Write a conclusion on Knowledge graph embeddings that compares
three models, TransE, RotatE, and QuatE.
TransE, RotatE, and QuatE are three popular models used in knowledge graph embeddings. Each model offers unique characteristics and approaches to representing entities and relations in a knowledge graph. In comparing these models, it is important to consider their capabilities in capturing different types of relationships, their expressiveness, and their computational efficiency.
TransE is a simple yet effective model that represents entities and relations as low-dimensional vectors. It assumes that the relation vector can be obtained by translating the entity vectors. This model performs well in capturing one-to-one and many-to-one relations but may struggle with modeling more complex relationships.
RotatE is a rotational model that represents relations as complex rotations in a low-dimensional space. It excels in capturing symmetric, antisymmetric, and asymmetric relations. The rotational nature of RotatE allows it to model diverse relationships accurately.
QuatE is a quaternion-based model that represents entities and relations using quaternions. It captures complex relations by leveraging quaternion algebra and has shown promising results in capturing hierarchical relationships and multi-relational patterns.
In conclusion, the choice between TransE, RotatE, and QuatE depends on the specific requirements of the knowledge graph and the types of relationships it contains. TransE is suitable for simple relationships, RotatE excels in capturing various types of relationships, and QuatE is advantageous for hierarchical relationships and multi-relational patterns. Understanding the strengths and limitations of each model is crucial in selecting the most appropriate one for a given knowledge graph application.
Learn more about graph here :
https://brainly.com/question/17267403
#SPJ11
i need help with this pls
Week 3 is the answer
(grade:early 6th) match the numbers on the left to the numbers on the left to the equivalent number on the right
Answer:
1/3=2/6
1/5=5/10
3/4=6/8
1/4=2/8
3/5=6/10
Step-by-step explanation:
On Gia's birthday, she
blew out 10 candles. 2
candles remained lit. What's the ratio?
Answer
2:10
It would be 2 to 10 candles that remained
10 gone
2 remain
2:10
A manager uses the following equation to predict monthly
receipts: Y=450+10t. What is the forecast for July of 2011 if t = 1
in April of the same year?
a.
500
b.
490
c.
480
d.
470
The forecast of monthly receipts for July 2011, based on the given equation Y=450+10t, with t=1 in April of the same year, is 460.
The equation Y=450+10t represents a linear relationship between the monthly receipts (Y) and time (t), with an initial value of 450 and a constant rate of increase of 10.
By substituting t=1 in April, we can determine the number of months that have passed since the initial value. In April, t=1, so one month has passed since the initial value.
To find the forecast for July, we need to determine the value of Y when t=4 (July is four months after April). Plugging t=4 into the equation, we get Y=450+10(4) = 450+40 = 490.
Therefore, the forecasted monthly receipts for July 2011 would be 490.
Learn more about linear relationship here:
https://brainly.com/question/31693063
#SPJ11
I need help with 7-12 HELP PLEASE THIS IS SO HARD
~~—☆☆☆——☆☆☆——☆☆☆——☆☆☆——☆☆☆—~~
Answer:
Hello! I hope I’m correct!! :)
Step-by-step explanation:
#7. 7 x 7 ( = 49 )
#8. 8 x 8 x 8 x 8 ( = 4096 )
#9. 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 ( = 256 )
#10. 4 x 4 x 4 ( = 64 )
#11. 5 x 5 x 5 x 5 x 5 ( = 3125 )
#12. 7 x 7 x 7 ( = 343 )
______________________________
Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ^-^
#Thank you so much for using brainly!
Best regard! :D
~By, BrainlyAnime~
~~—☆☆☆——☆☆☆——☆☆☆——☆☆☆——☆☆☆—~~
I’m almost done with this
Answer: Her mom's candle had the stronger scent peppermint is very strong it makes your eyes water
Step-by-step explanation:
Which number is a perfect cube? 88 121 243 343
Answer:
343
Step-by-step explanation:
7 to the power of 3 = 343
Otherwise known as 7 x 7 x 7 = 343
Answer:
343
Step-by-step explanation:
Sorry its so late, but here is the correct answer:
343
Step-by-step explanation:
7 to the power of 3 = 343
Otherwise known as 7 x 7 x 7 = 343
Hope this helps :)
If 20% of the students in your class like McDonald's, how many students are in your class if 4 students like McDonald's?
Answer:It is 20 students
Step-by-step explanation:
HELP PLEASE My mom will be disappointed
The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, manufactured by Phonola Record Industries, is related to the price per compact disc. The equation p = -0.00054 x + 7\ \ \ \ \(0<=x<=12,000\) where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by C(x) = 600 + 2x - 0.00001 x^2 \ \ \ \ \(0<=x<=20,000\)
To maximize its profits, how many copies should Phonola produce each month? Hint: The revenue is R(x) = px, and the profit is P(x) = R(x) - C(x).
(Round your answer to the nearest whole number.) (blank) discs/mont
The equation for demand is p = -0.00054x + 7 (where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price) and the equation for cost is C(x) = 600 + 2x - 0.00001x2.
To maximize its profits, the number of copies Phonola Record Industries should produce each month can be found by calculating P(x) and then finding its maximum value by differentiating it with respect to x, setting the derivative equal to zero, and then solving for x. The maximum value of P(x) will give the optimal quantity. This optimal value should be rounded to the nearest integer.
The demand for Walter Serkin's recording of Beethoven's Moonlight Sonata, produced by Phonola Record Industries, is determined by the unit price in dollars and the number of discs demanded. The relation between these variables can be given by the demand equation p = -0.00054x + 7, where p denotes the unit price in dollars and x is the number of discs demanded. The cost of producing these discs can be given by the cost equation C(x) = 600 + 2x - 0.00001x2, where x is the number of copies produced per month.Since the revenue generated is determined by the unit price and the number of copies sold, R(x) = px, and the profit is given by P(x) = R(x) - C(x). To maximize profits, the optimal number of copies Phonola should produce can be obtained by finding the maximum value of P(x).To obtain the optimal number of copies Phonola should produce, we must first calculate the profit function P(x), which is the difference between the revenue and cost functions. This is given by:P(x) = R(x) - C(x)P(x) = px - (600 + 2x - 0.00001x2)P(x) = -0.00054x2 + 5x - 600To find the optimal value of x, we differentiate P(x) with respect to x and set it equal to zero: dP(x)/dx = -0.00108x + 5 = 0x = 4629Rounding this value to the nearest integer gives us 4630 as the optimal number of copies that Phonola should produce.
The optimal number of copies that Phonola should produce to maximize its profit is approximately 4630 copies per month.
To know more about optimal quantity :
brainly.com/question/32567577
#SPJ11
Why do we use 1.645 for a one-tailed test and 1.96 for a two-tailed test when α=0.05?
The choice of critical values in hypothesis testing depends on the desired significance level, the nature of the test (one-tailed or two-tailed), and the distribution under consideration.
The values of 1.645 and 1.96 are commonly used critical values for hypothesis testing in the context of normal distributions with a significance level (α) of 0.05. The distinction between using 1.645 for a one-tailed test and 1.96 for a two-tailed test is based on the different nature of these tests and the associated probabilities.
In a one-tailed test, the null hypothesis is tested against an alternative hypothesis in a specific direction (either greater than or less than). The critical value used in this case is chosen to correspond to the desired significance level (α) for a one-tailed test. For α=0.05, the critical value is 1.645. This means that if the test statistic falls in the critical region beyond 1.645 standard deviations from the mean in the specified direction, the null hypothesis is rejected.
On the other hand, a two-tailed test involves testing the null hypothesis against an alternative hypothesis in both directions (greater than and less than). The critical value used in a two-tailed test is chosen to split the significance level (α) evenly between the two tails of the distribution. For α=0.05, each tail receives an α/2 = 0.025 significance level. The critical value for a two-tailed test at α/2=0.025 is 1.96. In this case, the null hypothesis is rejected if the test statistic falls in either tail beyond 1.96 standard deviations from the mean.
The choice of critical values in hypothesis testing depends on the desired significance level, the nature of the test (one-tailed or two-tailed), and the distribution under consideration. The values 1.645 and 1.96 are approximations based on standard normal distribution tables and are commonly used for α=0.05, but different values may be used for other significance levels or distributions.
Learn more about distribution here
https://brainly.com/question/4079902
#SPJ11
