asap will give brainliest

To minimize costs, the optimal distribution schedule for Finnish Furniture would involve shipping 130 units from Reno to Phoenix, 20 units from Denver to Cleveland, and 160 units from Pittsburgh to Chicago. This allocation is determined by using the transportation algorithm, specifically the Vogel's Approximation Method (VAM), which considers the lowest shipping costs per unit for each source-destination combination. By following this approach, the total cost for the distribution is calculated to be $4,360.

To determine the optimal distribution schedule that minimizes costs, we need to allocate the available supplies from the manufacturing facilities to the retail stores based on the shipping costs per unit. We can achieve this by employing the transportation algorithm, such as the North-West Corner Rule or the Vogel's Approximation Method (VAM).

Using VAM, we begin by identifying the lowest shipping cost per unit for each row and column in the given table. We then select the highest difference between the two lowest costs, considering both rows and columns. This difference indicates the most cost-effective allocation.

In this case, the VAM suggests shipping 130 units from Reno to Phoenix since the shipping cost per unit is 10, which is the lowest for the Reno row. For Cleveland, Denver has the lowest cost at 14, so we allocate 20 units from Denver to Cleveland. Lastly, we allocate 160 units from Pittsburgh to Chicago, as the cost per unit is the lowest at 12 for the Pittsburgh column.

Now, let's calculate the total cost. The cost of shipping 130 units from Reno to Phoenix is 130 x 10 = $1,300. Shipping 20 units from Denver to Cleveland costs 20 x 14 = $280. Lastly, shipping 160 units from Pittsburgh to Chicago costs 160 x 12 = $1,920. Adding these costs together gives us a total cost of $1,300 + $280 + $1,920 = $4,360.

Learn more about Optimal distribution

brainly.com/question/15700934

#SPJ11

Answer:

Step-by-step explanation:4

Answer:

\(\boxed{m \angle CAB =99^{\circ}}\)

Step-by-step explanation:

We can use the law of cosines to determine measure of ∠CAB

If a, b and c are the three sides of a triangle and C is the angle opposite side c then the law of cosines says
c² = a² + b² - 2ab cos(C)

Here we are asked to find m∠CAB

The side opposite ∠CAB is BC which is 23 cm long. This is c in the formula

The other two sides, a and b are 13 cm and 17 cm

Applying the formula, using C to represent m∠CAB

\(23^2=\:13^2+\:17^2-\:2\:\cdot 13\cdot 17\cdot \cos \left(C\right)\)

First switch sides:
\(13^2+17^2-2\cdot \:13\cdot \:17\cos \left(C\right)=23^2\)

\(\rightarrow 69+289-442\cos \left(C\right)=529\\\\\rightarrow 458 -4 42\cos \left(C\right) = 529\\\)

\(\rightarrow -442\cos \left(C\right) = 529-458\\\\\rightarrow -442\cos \left(C\right) = 71\\\\\)

\(\rightarrow \cos \left(C\right)=-\dfrac{71}{442}\\\\\rightarrow \cos \left(C\right) = - 0.16063\\\\\)

\(\rightarrow C = \cos^{-1} (-0.16063)\)

\(\rightarrow C = 99.2437^{\circ}\)

Rounded to the nearest integer, this would become

\(\rightarrow C = \boxed{99^{\circ}}\)

First we have to split the spinner into two equal parts. One half belongs to the blue and red sections, and the other half belongs to the green and purple sections.

Formulating an equation for the first part, we have:

P(b) + P(r) = 0.5 ( P(b): probability of landing on blue section, P (r): probability of landing on red section)

P(r) + 1/2*P(r) = 0.5 ( Since it is half as likely to land on blue as to land on red)

3/2*P(r) = 0.5 (Adding like terms)

P(r)= 0.5 / (3/2) (Dividing on both sides by 3/2)

P(r)= 1/3 (Dividing)

P(b)=1/2*P(r) (Finding the probability of landing on blue section)

P(b)= 1/6

Formulating an equation for the second part, we have:

P(g) + P(p) = 0.5 ( P(g): probability of landing on green section, P (r): probability of landing on purple

section)

P(g) + 3*P(g) = 0.5 ( Since it is three times as likely to land on purple as green)

4*P(g) = 0.5 ( Adding like terms)

P(g) = 0.5/4 (Dividing by 4 on both sides of the equation)

P(g) = 1/8 (Dividing)

P(p) = 3*P(g) (Finding the probability of landing on purple section)

P(p)= 3/8

The value of v in the triangle is 15 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The exterior angle theorem is used to find the value of v.

Therefore,

31 + 4v + 44 = 9v

31 + 44 = 9v - 4v

75 = 5v

divide both sides by 5

v = 75 / 5

v = 15

Therefore,

v = 15

learn more on angles here: https://brainly.com/question/29775034

#SPJ1

Answer:

D) 4/3 x + 4

Step-by-step explanation:

The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).

The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept

Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.

y2 - y1/x2 -x1

0 - 4/-3 - 0

-4/-3 = 4/3

Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.

The answer is 4/3x + 4.

Breaking stress is (b) less than the ultimate stress, because it is point at which material undergoes "plastic-deformation" but does not necessarily break.

The "Breaking-Stress", is also known as "fracture-stress", is the stress at which a material breaks or fractures under a given load or tension.

This means that the breaking stress is the "maximum-stress" that a material can withstand before it fractures or breaks apart.

The "Ultimate-Stress" is defined as the maximum stress that a material can withstand before it undergoes plastic deformation, such as permanent bending or stretching, but without necessarily breaking.

Since the breaking stress is the point at which the material breaks, it must be less than the ultimate stress, which is the point at which the material undergoes plastic deformation but does not necessarily break.

Therefore, the correct option is (b).

Learn more about Stress here

https://brainly.com/question/29517921

#SPJ4

The given question is incomplete, the complete question is

Breaking stress is -

(a) greater than the ultimate stress

(b) less than the ultimate stress

(c) equal to the the ultimate stress

(d) none of these

The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

To know more about the ratio, here

https://brainly.com/question/25927869

#SPJ4

Answer:

im pretty sure its \(\frac{12}{ab}\)

Step-by-step explanation:

Answer:

\(b=\frac{1}{4a^2}\)

Step-by-step explanation:

Divide both sides by 4a^3:

\(\frac{a}{4a^3}=b\)

Simplify by cancelling one of the a's from the left hand side equation:

\(b=\frac{1}{4a^2}\)

Answer:

x=-6,8

Step-by-step explanation:

First, let's observe our equation, there is an absolute value (|x|) that means 'x' will have two answers most likely positive and negative.

First we will take off the lines.

now we have

2-2x=14

next minus 2 out of both side of the equation

2 - 2 -2x = 14- 2

-2x =12

now we will divide -2 from both side of the equation

\( \frac{ - 2x = 12}{ - 2} \)

we will cancel out - 2

\(\frac{x = - 6}{1} \)

x= -6

We aren't done yet since this is an absolute value we have to convert the sum of the equation ( 14) to negatives now which will be in this case (-14)

your new equation will look like this

2-2x= -14

next minus 2 out of both side of the equation

2 - 2 -2x = -14- 2

-2x = - 16

now we will divide -2 from both side of the equation

\( \frac{ - 2x = - 16}{ - 2} \)

we will cancel out - 2

\( \frac{x = 8}{1} \)

x = 8

x = -6

2 - 2x = 14

2 - 2(-6) = 14.

2 + 12 = 14✓.

x= 8

2 - 2x = -14

2 - 2 (8) = -14

2 - 16 = -14✓

hope this helped happy learning

In a survey of 1207 American men about their current cigarette smoking habits, the population, sample, parameter, and statistic can be defined as follows:

The population in this survey refers to the entire group of interest, which in this case is all American men. It is the larger group from which the sample is drawn.

The sample is a subset of the population, consisting of the 1207 American men who were surveyed about their current cigarette smoking habits. The sample is selected from the population to gather information and make inferences about the population as a whole.

The parameter is a numerical characteristic of the population. In this case, the parameter would be the proportion of all American men who currently smoke cigarettes.

The statistic, on the other hand, is a numerical characteristic of the sample. It is calculated from the data collected in the survey and provides an estimate or summary of the population parameter.

Learn more about statistic here:

https://brainly.com/question/30218856

#SPJ11

Answer:

(Part A) The formula for finding the area of a circle is πr². (Part B) The radius of that circle would be 5.27 m. 10.54 m cut in half would be 5.27 m. (Part C) The area of this circle would be approx. 87.21 m². Using the formula from Part A, first square 5.27. That will equal 27.7729. Now, multiply that by 3.14 (I used that value for π) to get 87.206906 m². However, we have to round to the nearest hundredth, so 87.21 m² is the answer.

If Pharma Plus wants to achieve the optimal staffing level, they need to hire 5 additional pharmacists and 16 additional technicians, which would increase the payroll cost by $9,576 per hour.

a) To determine a minimum-cost staffing plan for Pharma Plus,

we have the following optimization problem:

Min 48P + 12T

Subject to:

P + T > 251 (Employees required)

2P - T > 0 (Service quality guideline)

P > 90 (Pharmacists employed)

Using the graphical method, we can graph the lines of each constraint:

Figure 1 From Figure 1, we can see that the feasible region is the shaded region above the blue line (P + T = 251) and

to the right of the orange line (2P - T = 0),

and to the right of the green line (P = 90).

To obtain the optimal solution, we need to find the intersection point of two lines, where the total cost is minimized.

However, this region has infinite intersection points, which makes it difficult to find the optimal solution.

To overcome this challenge, we use the corner-point method, where we evaluate the objective function at each corner point and select the one that yields the lowest cost.

In this case, the corner points are A (90, 161), B (115, 136), and C (165.5, 85.5).

Using the objective function, we obtain the following values:

At point A: 48(90) + 12(161)

= $3,624

At point B: 48(115) + 12(136)

= $4,008

At point C: 48(165.5) + 12(85.5)

= $7,308

Hence, the optimal solution is at point A (90, 161), where the total cost is $3,624 per hour.

Therefore, Pharma Plus needs at least 90 pharmacists and 161 technicians to minimize the total payroll cost to $3,624 per hour.

b) Given the current staffing levels and expected attrition, Pharma Plus has 85 pharmacists and 175 technicians.

To reach the level recommended in part (a), they need 5 additional pharmacists and 16 additional technicians.

The additional cost of payroll is the difference between the cost at current staffing levels and the cost at the optimal solution.

Using the average salary for licensed pharmacists and technicians, we have the following calculations:

The payroll cost using the current levels of 85 pharmacists and 175 technicians is $60 x 85 + $12 x 175

= $13,200 per hour.

The payroll cost using the optimal solution in part (a) is $48 x 90 + $12 x 161 = $3,624 per hour.

The increase in payroll cost is $9,576 per hour.

Therefore, if Pharma Plus wants to achieve the optimal staffing level, they need to hire 5 additional pharmacists and 16 additional technicians, which would increase the payroll cost by $9,576 per hour.

To know more about pharmacists visit:

https://brainly.com/question/31593476

#SPJ11

Answer: The area is 20

Answer:

x = {- 12, 4}

Step-by-step explanation:

\( |x + 4| = 8 \\ x + 4 = \pm8 \\ x = \pm \: 8 - 4 \\ x = 8 - 4 \: or \: x = - 8 - 4 \\ x = 4 \: or \: x = - 12 \\ \huge \red{ \boxed{x = \{ - 12, \: 4 \}}}\)

Counting millimeters on a ruler is relatively easy, but it does require some attention to detail. Here's how to do it:

1. Find the starting point: Look for the zero mark on the ruler. This is where you will begin counting.

2. Identify the millimeter marks: Millimeter marks are the small lines between each centimeter mark. Each centimeter is divided into 10 millimeters, so there will be 10 small lines or millimeter marks between each centimeter mark.

3. Count the millimeter marks: Start at the zero mark and count each millimeter mark until you reach the point you want to measure.

For example, if you want to measure something that is 3.5 centimeters long, you would count 35 millimeter marks from the zero mark.

4. Include the centimeter mark: If you are measuring something that extends beyond a whole centimeter, make sure to include the centimeter mark.

For example, if you are measuring something that is 4.7 centimeters long, you would count 4 centimeter marks and then 7 millimeter marks.

5. Be precise: Millimeters are small units of measurement, so it's important to be precise.

With these steps, you should be able to count millimeters on a ruler accurately.

Know more about a ruler here:

https://brainly.com/question/1667868

#SPJ11

The markup percent of the water blaster in the store is 30%

The store sells a water blaster for $26
They bought it for $20

New price is $26

Original price is $20

The markup percent can be calculated as follows

26-20/20 × 100

= 6/20 × 100

= 0.3 × 100

= 30%

Read more on markup percent here

https://brainly.com/question/15903224?referrer=searchResults

#SPJ1

Answer:

1

Step-by-step explanation:

because yes nsnsnsnsnsnsnnsns. nsnsnd

Let x be an even integer then x+2 is the next consecutive even integer.

We need to look at \((x+2)^2 - x^2\), since that's the difference between the squares of any two consecutive even integers.

\((x+2)^2 - x^2 = x^2 + 4x + 4 - x^2\)

                     \(=4x+4\)

                     \(=4(x+1)\)

Since that difference is 4 times something, it is a multiple of 4.

This is the derivative of the given function h(t). The derivative shows us how much the function changes with respect to the input variable t. In other words, it tells us the rate of change of the function at any point on its domain.

To find the derivative of h(t), we can use the chain rule and the power rule of differentiation. First, we need to rewrite the function in a more readable format:

h(t) = (t^2 - 1)^(3/2) * (3t^2 - 1)^3

Next, we can apply the chain rule by taking the derivative of the outer function and multiply it by the derivative of the inner function. For the outer function, we can use the power rule of differentiation:

h'(t) = 3/2 * (t^2 - 1)^(1/2) * 2t * (3t^2 - 1)^3 + (t^2 - 1)^(3/2) * 3 * (3t^2 - 1)^2 * 6t

Simplifying this expression gives us the final answer:

h'(t) = 3t(3t^2 - 1)^2*(t^2 - 1)^(1/2) + 54t^2(t^2 - 1)^(3/2)*(3t^2 - 1)

This is the derivative of the given function h(t). The derivative shows us how much the function changes with respect to the input variable t. In other words, it tells us the rate of change of the function at any point on its domain.

Learn more about derivative here:

https://brainly.com/question/29020856

#SPJ11

Answer:

Step-by-step explanation:

Given the coordinates D(-2, 3), E(5, 5), F(-4, 10), to find the measure of the sides, we will use the formula for calculating the distance between 2 points as shown:

D = √(y2-y1)²+(x2-x1)²

For DE;

D(-2, 3), E(5, 5),

DE = √(5-3)²+(5-(-2))²

DE = √2)²+7²

DE = √4+49

DE = √53

For DF;

D(-2, 3), F(-4, 10)

DF = √(10-3)²+(-4-(-2))²

DF = √7²+(-2)²

DF = √49+4

DF = √53

For EF;

E(5, 5) F(-4, 10)

EF = √(10-5)²+(-4-5)²

EF = √5²+(-9)²

EF = √25+81

EF = √106

Since two he sides DE and DF are equal, this shows that the triangle is an isosceles triangle. An isosceles triangle  is a triangle that has two of its sides and angle equal

Diagrams attached. A) The shear diagram for a cantilevered beam can be drawn as follows: At the fixed end (left side), there is a reaction force pointing upwards, denoted as R.

Moving along the beam towards the free end, there are no concentrated loads. However, there might be a distributed load acting on the beam.

If there is a distributed load, the shear force will change linearly from the reaction force R to zero as we move towards the free end of the beam.

Plot the values of the shear force on the y-axis of the diagram against the distance along the beam on the x-axis.

B) The moment diagram for a cantilevered beam can be drawn as follows:

Start from the fixed end and move along the beam towards the free end.

At the fixed end, the moment is usually zero.

If there is a concentrated load acting on the beam, the moment will change abruptly at that location.

If there is a distributed load, the moment will change linearly.

Plot the values of the moment on the y-axis of the diagram against the distance along the beam on the x-axis.

Note: Since the specific dimensions and loadings of the cantilevered beam were not provided, the shear and moment diagrams would require additional information to accurately draw them.

To learn more about x-axis click here:

brainly.com/question/2491015

#SPJ11

Using Combination,

Total 12 possible subsets containing three different numbers can be selected from the set {89, 95, 99, 132, 166, 173} so that the sum of the three numbers is even.

We have given a set say S which contains 6 elements, S = {89, 95, 99, 132, 166, 173}

we want to select three numbers from S such that sum of these is even .

To have an even sum with three numbers, we must add either E+O+O, or E + E + E

where O ---> an odd number

E ---> an even number.

Since there are not three even numbers in the given set, case E+E+E is not possible. Thus, we must choose two odd numbers, and one even number.

There are 2 choices for the even number.

There are 4 choices for the first odd number. There are 3 choices for the last odd number. But the order in which we pick these 2 numbers doesn't matter, so this overcounts the pairs of odd numbers by a factor of 2. Thus, we have ⁴C₂ = 4×3/2 = 6 choices for a pair of odd numbers.

In total, there are 2 choices for an even number, and 6 choices for the odd numbers,

Hence, the total of 2×6 = 12 possible choices for a 3-element set that has an even sum.

To learn more about Combination formula refer:

https://brainly.com/question/11732255

#SPJ4

Hello there!

Perpendicular lines have slopes that are opposite reciprocals. It means that if we have 8, then its opposite reciprocal would be -1/8.

Hope this helps!

~Just an emotional teen who listens to her favorite song "Try Everything"

\(SilentNature :)\)

The solution to the expression (-32)(1.2) is A = -38.4

Given data:

The first number is a = -32

The second decimal number is b = 1.2

So, the expression is A = ab

To simplify (-32)(1.2), the multiplication operation is performed as:

Multiplying -32 by 1.2 can be done as follows:

On simplifying the equation:

(-32)(1.2) = -38.4

On multiplying a negative number (-32) by a positive number (1.2), the result is a negative number.

Hence, (-32)(1.2) simplifies to -38.4.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

The adding a value to x shifts the graph that many places to the left.

In g(x) you are adding 2 to x, so the graph moves 2 units to the left.

See attached image.

Answer:

c got a 100

Step-by-step explanation:

Answer:

x => -7

Step-by-step explanation:

to solve this equation you should start by subtract 6 on both sides

-2x <= 3x + 35

then subtract 3x to both sides

-5x <= 35

then you divide both sides by -5

x => -7

you must change the signs because you multiplied it by a negative

The given statement "the coefficients of dummy variables in multiple regression models must always be positive." is True.

Regression model:

In statistics, regression model means a statistical technique that relates a dependent variable to one or more independent variables.

Given,

Here we have the statement the coefficients of dummy variables in multiple regression models must always be positive.

Now, we have to find whether the given statement is true or not.

In order to find the statement creditability, we must know the definition of the terms coefficient and dummy variables.

Dummy variable refers the variable that takes values of 0 and 1, where the values indicate the presence or absence of something

Where as the coefficient means a number or symbol by which another number or symbol is multiplied.

Based on this definition we have found that the given statement is true.

To know more about Regression model here.

https://brainly.com/question/14983410

#SPJ4