For the following LP, x2 and s1 are basic variables in the optimal tableau. Use the formulas of section 6.2 from your text book to determine the optimal tableau. max z = -X1 + X2 s.t. 2x1 + x2 = 4 x1 + x2 = 2 x1,x220
The optimal solution to the LP is x1 = 0, x2 = 2, with an optimal objective function value of 2.
To use the formulas from section 6.2 of the textbook to find the optimal tableau, we need to start with the initial feasible tableau, which has the following form:
Basis x1 x2 s1 s2 RHS
s1 2 1 1 0 4
s2 1 1 0 1 2
z -1 1 0 0 0
The first step is to identify the pivot element, which is the smallest positive ratio of the right-hand side (RHS) to the coefficient of the basic variable in each row. In this case, the ratios are:
s1: 4/2 = 2
s2: 2/1 = 2
Since both ratios are equal, we choose the variable with the smallest coefficient in the objective function as the entering variable. In this case, that is x1.
The second step is to perform the pivot operation, which involves dividing the pivot row by the pivot element and subtracting a suitable multiple of the pivot row from each of the other rows to eliminate the x1 variable from them. The result is a new tableau:
Basis x1 x2 s1 s2 RHS
s1 1 0 1/2 -1 2
x1 1 1 0 1 2
z 0 2 1 1 2
The new tableau shows that x2 and s1 are the basic variables in the optimal solution, with values of 2 and 2, respectively. The optimal value of the objective function is also shown in the tableau, which is 2.
Therefore, the optimal solution to the LP is x1 = 0, x2 = 2, with an optimal objective function value of 2.
Click the below link, to learn more about Optimal Solution:
https://brainly.com/question/15319802
#SPJ11
A band plays one concert in Arizona, one concert in California, and one concert in Georgia. In California, the band earned 3/2
the profit that they earned in Arizona. Of the total profit earned by the band, 32% is earned in Arizona. How many times more money did the band earn at the most profitable concert than at the least profitable concert?
how many times more?
The band earned 4 times more money at the most profitable concert than at the least profitable concert.
Let x = total profit earned by the band
The band earned 3/2x in California and 32% of x in Arizona.
So, x = (3/2)x + 0.32x
2.32x = x
x = 2.32x / 2.32
x = 1
Therefore, the band earned 4 times more money at the most profitable concert than at the least profitable concert.
Learn more about profit here
https://brainly.com/question/28856941
#SPJ4
the length of a rectangle is five inches more than four times the width. the perimeter is inches. find the length and width.
In rectangle , The width is 8 and the length is 37.
What is a rectangle ?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
90 = 2(x + 5 + 4x)
90 = 2(5x + 5)
90 = 10x + 10
80 = 10x
x = 8
So the width is 8 and the length is 37.
Learn more about rectangle
brainly.com/question/29123947
#SPJ4
The complete question is -
The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions
Since the equation for both triangles have a2+b2, you can think of two equations for c2 and n2 as in a system of equations. Substitute what a2+b2 equals for the first equation for a2+ b2 give me second equation. After you substitute what equation do you get
The equation by substituting first equation in the second equation:
\(n^2 - c^2 =0\)
Triangle:A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
The equation for both triangles have :
\(c^2 = a^2 + b^2\\n^2 = a^2 + b^2\)
To write the equation by substituting first equation in the second equation.
Now consider,
\(c^2 = a^2 + b^2-------(1)\\n^2 = a^2 + b^2-------(2)\)
Now, Plug the value of equation(2) in (1), we get
\(n^2 = c^2\)
\(n^2 - c^2 =0\)
Hence, the equation by substituting first equation in the second equation:
\(n^2 - c^2 =0\)
Learn more about Triangle at:
https://brainly.com/question/29083884
#SPJ4
how do you explain Commutative Property of Addition
choose the table thst represents g(x) =-2•f(x) when f(x) = x +4
Answer:
c
Step-by-step explanation:
x=1 g(x)=-10
x=2 g(x)=-12
x=3 g(x)=-14
f(x)=x+4
=> g(x)=-2·(x+4)
1. The box plots show the lengths of the songs on two digital music players in
minutes.
Lengths of Songs on Digital Music Players
Music Player X
Music Player Y
25
3.5
4
4.5
5
5.5
6
Number of Minutes
6.5
7
7.5
Which statement is best supported by the information in the box plots?
Answer:
Correct
The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.
The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.
Step-by-step explanation:
The Statement support the box plot are:
The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.
What is Box- plot?An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.
Given:
For Player X
Minimum value = 3.5
Maximum value = 7.5
First Quartile = 4.5
Median = 5
Third Quartile = 6.5
For Player Y
Minimum value = 3.5
Maximum value = 7.5
First Quartile = 4
Median = 4.5
Third Quartile = 5
Thus, from the above data we can conclude that:
The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.
Learn more about box- plot here:
https://brainly.com/question/12591498
#SPJ2
PLEASE HELP ME ASAP THANK YOU !!
Solve the system of linear equations by graphing.
y=-x+7
y=x+1
Answer:
Step-by-step explanation:
First you need to graph the two lines.
The solution is the point where the lines intersect.
using tje logarithm find the square of 86.46
find the matrix a' for t relative to the basis b'. t: r2 → r2, t(x, y) = (−8x y, 8x − y), b' = {(1, −1), (−1, 5)}
The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).
\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)
First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).
Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).
\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)
\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)
Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)
Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.
Now, we will write the equations with the coordinates of the basis vectors of \(b'\).
\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)
Now we will write the matrix of \(A\) as follows:
\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)
Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).
To know more about matrix, click here
https://brainly.com/question/29132693
#SPJ11
Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
Learn more about merchandise inventory from
https://brainly.com/question/27046371
#SPJ1
How many milliliters of water do you need to fill up a 1.5 quart bottle
Answer:
1419 millimeters
Step-by-step explanation:
Trust me!:)
Use the following tables to compose q(r(5))
Answer:
d. 289
Explanation:
You want to solve the function of q when function of r has an input of 5.
Might sound confusing but find the output of function r(x) with the input of
x = 5.
From the r(x) chart:
r(5) = -17
Now substitute that in the original question:
q(r(5)) = q(-17)
Look at the q(x) chart next, as you can see:
q(-17) = 289
So all in all:
q(r(5)) = 289
Cheers!
C is a town.
The bearing of C from A is 050°.
Find the bearing of A from C.
In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.
Which point is the bearing?The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.
To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.
Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:
Bearing of A from C = 50° + 180° = 230°
Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.
Learn more about bearing here:
brainly.com/question/15006070
#SPJ1
Complete question -
David roller skates 33 miles in 2
3/4 hours. What is his average speed in
miles per hour?
Answer:
12 miles per hour
Step-by-step explanation:
I need help please, I dont know how to do this
m=2
because in the other equation, the digit next to x is 2 so m must be 2
What is System Effectiveness, if Operational Readiness is 0.89, Design Adequacy is 95%, Availability is 98%, Maintainability is 0.93, and Mission Reliability is 0.99? a. 0.763 b. 0.881 c. 0.837 d. 0.820
The System Effectiveness is approximately 0.763.
To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.
System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability
Plugging in the given values:
System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99
System Effectiveness ≈ 0.763
Therefore, the System Effectiveness is approximately 0.763.
The correct answer is a. 0.763.
To know more about Maintainability refer here:
https://brainly.com/question/32350776#
#SPJ11
what is the rate sam started
Answer:
10.35 mph
Step-by-step explanation:
63,756/70 ft/min × (1 mile)/(5280 ft) × (60 min)/(hour) =
= 10.35 mph
Write down a common multiple of 8 and 14.
?
Answer:
The common multiple of 8 and 14 is 56.
Answer:
4
Step-by-step explanation:
This problem requires gcf also known as greatest common factor basically all multiplication factors that make up a certain number and in this case the gcf for both is 4 because 4x1 is 4 and 4x2 is 8
PLEASE HELP
find the equation of the line
using exact numbers
Answer:
Step-by-step explanation:
Okay so you've gotta start with the y-intersect. The line hits the y-axis at 7, so your B is 7 (y=mx+7).
Since the line is going down, it's a negative slope, so your m will be a negative (y=-mx+7)
The line matches up exactly with (1,4), which shows the line moving down 3 for every 1 movement to the right. That makes your equation for the line y=-3x+7 or y=-3/1x+7
The _____ lists the relative probability of a risk occurring and the relative impact of the risk occurring.
The Risk Matrix lists the relative probability of a risk occurring and the relative impact of the risk occurring.
What is used to list the relative probability of a risk occurring and the relative impact of the risk occurring?The Risk Matrix is a tool commonly used in risk management to assess and prioritize risks based on their likelihood of occurrence and potential impact.
It typically consists of a two-dimensional grid, with one axis representing the likelihood of the risk occurring, and the other axis representing the potential impact of the risk.
Each cell in the grid represents a specific level of risk, and is typically color-coded or labeled to indicate the severity of the risk. By using a Risk Matrix.
Organizations can prioritize their risk management efforts by focusing on the risks that are most likely to occur and have the greatest potential impact.
Learn more about Risk Matrix
brainly.com/question/14281405
#SPJ11
Which of the four statements is true and also write a one-step inequality as an example of when you would "flip" the sign.
Step-by-step explanation:
There are 5 types of Inequality sign :
1. = read '' equals to ''
2. > read '' greater than ''
3. < read '' less than ''
4. ≥ read '' greater than or equals to ''
5. ≤ read '' less than or equals to ''
Example -
1. 2 = 3 ( 2 is equals to 3 )
2. 3 > 2 ( 3 is greater than 2 )
3. 2< 4 ( 2 is less than 4 )
4. 3 ≥ 2 ( 3 is greater than or equals to 2)
5. 2 ≤ 4 ( 2 is less than or equals to 4 )
One - step inequality :
Addition and Subtraction Properties of Inequality -
If a > b, then a + c > b + c
If a > b, then a − c > b − c
Multiplication and Division Properties of Inequality -
If a > b, then ac > bc, if c > 0
If a > b, then ac < bc, if c < 0
If a > b, then \(\frac{a}{c} > \frac{b}{c}\), if c > 0
If a > b, then \(\frac{a}{c} < \frac{b}{c}\),, if c < 0
The inequality x > y can also be written as y < x. The sides of any inequality can be switched as long as the inequality symbol between them is also reversed(or flip ).Solving inequalities is same as solving equations, except you have to reverse( or flip ) the inequality symbols when you multiply or divide both sides of an inequality by a negative number.Help I need to submit this ASAP
Answer: th
Step-by-step explanation:
2 dice are tossed 3 times. what is the probability of throwing a sum less than or equal to 3 at least once
The probability of throwing a sum less than or equal to 3 is 1/216
Probability:
It is defined as an event that can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
If we are talking three six-sided dice each marked 1 through 6, and fairly weighted so every side is of equal probability, then there is only 1 combination that sums to less than 3: 1 1.
Meanwhile, there are 6 possible rolls on the first die, and for each, 6 possible rolls on the second and third die, so 6*6*6=216 total possible rolls.
There is only one probability to get a sum less than or equal to 3 (1,1,1)
P(x<=3)=1/216
To know more about Probability:
https://brainly.com/question/13604758
#SPJ4
solve each inequality. 7^(3x-1)>=21
Therefore , the solution of the given problem of inequality comes out to be x >= 0.818.
What is an inequality?Although there isn't an equal symbol in algebra, the difference can be expressed by a partner or collection of numbers. Equity usually comes after equilibrium. When ideals continue to diverge, expression inequality results. Fairness and disparity are not the same. We used our most widely used symbol even though pieces usually aren't connected or near to one another. (). Any variation, no matter how slight, may be utilized to assess value.
Here,
Using logarithms, we can eliminate this inequality:
=> \(7^{3x-1}\) >= 21
Using base 7, take the logarithm of both sides:
=> 7(3x-1) log_7 >= log_7(21)
=> (3x-1) >= log_7(21)
To both ends, add one:
=> 3x >= log_7(21) + 1
multiply both parts by three.
=> x >= (1/3) * (log_7(21) + 1)
=> x >= 0.818
The following is how the disparity can be resolved:
=> x >= 0.818.
To know more about inequality visit:
https://brainly.com/question/29914203
#SPJ1
What is the median age of the presidents at their death? a. 69 c. 68 b. 67. 5 d. 70.
The median age of the presidents at their death is 69.
What is median?The median is the value that is exactly in the middle of a dataset when it is arranged in order. It is a measure of central tendency which separates the lowest 50% from the highest 50% of values.
The median formula is {(n + 1) / 2}th, where “n” is the number of items in the set and “th” means the (n)th number. To find the median, first arrange the data points from smallest to largest.
The steps for finding the median differ depending on whether we have an odd or an even number of data points. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.
In this case, the number of data points is even, that is 38. So, the median is:
= {(n + 1) / 2}th
= {(38 + 1) / 2}th
= 19,5th
Thus, it means the median is the average of the 19th and 20th in the data points. So, it will be:
Median = (68 + 70) / 2
Median = 138 / 2
Median = 69
Hence, the median age of the presidents at their death is 69.
Learn more about median at: https://brainly.com/question/28060453
#SPJ4
Although part of your question is missing, you might be referring to this full question: This list shows the age at which 38 U.S. Presidents died.
46 58 64 68 73 80 90
49 60 65 70 74 81 93
53 60 66 71 77 83
56 63 67 71 78 85
56 63 67 71 78 88
57 64 67 72 79 90
What is the median age of the presidents at their death?
A. 69
C. 68
b. 67.5
d. 70
The scale of a map is 2/5 inches represents 3 miles. How much does 1 inch represent?
9514 1404 393
Answer:
7 1/2 miles
Step-by-step explanation:
The ratio of miles to inches is ...
miles/inches = 3/(2/5) = 15/2 miles/inch
Each inch represents 15/2 = 7 1/2 miles.
Let's simplify step-by-step.
3
x
+
5
y
−
x
+
4
y
=
3
x
+
5
y
+
−
x
+
4
y
Combine Like Terms:
=
3
x
+
5
y
+
−
x
+
4
y
=
(
3
x
+
−
x
)
+
(
5
y
+
4
y
)
=
2
x
+
9
y
Answer:
that's dum
bxhsusjsjsjdjjdjsusususususu
I need help fast plss
The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°
Finding the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The transversal lines and the other lines
So, we have
∠1 = 180 - 53
Evaluate
∠1 = 127°
Also, we have
∠5 = 53°
By vertical angles, we have
∠2 = 53°
∠3 = 127°
Next, we have
∠4 = 127 - 90°
∠4 = 37°
Solving further, we have
∠6 = 90°
By corresponding angles, we have
∠7 = 37°
∠9 = 180 - 90 - 53°
∠9 = 37°
∠10 = 90 + 53°
∠10 = 143°
∠8 = 143°
Read more about angles at
https://brainly.com/question/28293784
#SPJ1
5.) On Wednesday, a restaurant serves coffee to 75 of 150 of its customers.
What percent of the customers ordered coffee?
Answer:
50%
Step-by-step explanation:
Long division
Answer:
50%
Step-by-step explanation:
To find the percent, divide 75 by 150 and multiply by 100:
75/150
= 0.5
0.5(100)
= 50
So, 50% of the customers ordered coffee