The CitruSun Corporation ships frozen orange juice concentrate from processing plants in Eustis and Clermont to distributors in Miami, Orlando, and Tallahassee. Each plant can produce 20 tons of concentrate each week. The company has just received orders of 10 tons from Miami for the coming week, 15 tons for Orlando, and 10 tons for Tallahassee. The cost per ton for supplying each of the distributors from each of the processing plants is shown in the following table.
Miami
Orlando
Tallahassee
Eustis
$260
$220
$290
Clermont
$230
$240
$310
The company wants to determine the least costly plan for filling their orders for the coming week.
a. Formulate an LP model for this problem.
b. Implement the model in a spreadsheet and solve it.
c. What is the optimal solution?
d. Is the optimal solution degenerate?
e. Is the optimal solution unique? If not, identify an alternate optimal solution for the problem.
f. How would the solution change if the plant in Clermont is forced to shut down for one day resulting in a loss of four tons of production capacity?
g. What would the optimal objective function value be if the processing capacity in Eustis was reduced by five tons?
h. Interpret the reduced cost for shipping from Eustis to Miami.

Answer:

Complement 60 Supplement 150

Step-by-step explanation:

the complementary angle is an angle that is added to your original angle of 30° to get 90°

Complementary Angle = 90 - 30°

Complementary Angle = 60°

The supplementary angle is an angle that is added to your original angle of 30° to get 180°

Supplementary Angle = 180 - 30°

Supplementary Angle = 150°

The rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

We know that,

The Base is growing at the rate of 1 cm per sec.

Height is growing at the rate of 2 cm per sec.

Area of triangle: 1/2 × b × h

The rate of change will be:

1/2 × b × h

1/2 × 4/1 × 7/2

28/4

7 cm per sec

Therefore, the rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

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The complementary angle of 5 radians is 0 radians, and its supplementary angle is 175 degrees or 3.054 radians.

An angle is a geometric figure formed by two rays, called sides, that have a common endpoint, called the vertex. It is typically measured in degrees or radians and is used to represent the amount of rotation between the two rays. Angles are fundamental in mathematics and are used in various fields such as physics, engineering, and geometry.

Here,

a) The complementary angle of 1 radian is 89.16 degrees or π/2 - 1 radian, and its supplementary angle is 88.43 degrees or π - 1 radian. It does not have a conjugate angle as it is less than 180 degrees.

b) The complementary angle of 60 degrees is 30 degrees or π/6 radians, and its supplementary angle is 120 degrees or 2π/3 radians. Its conjugate angle is 300 degrees or 5π/3 radians.

c) The complementary angle of 120 degrees is 60 degrees or π/3 radians, and its supplementary angle is 60 degrees or π/3 radians. Its conjugate angle is 240 degrees or 4π/3 radians.

d) The complementary angle of 4.5 radians is 0.07 radians or 4.05 degrees, and its supplementary angle is 175.5 degrees or 3.06 radians. It does not have a conjugate angle as it is greater than 180 degrees.

e) The complementary angle of 50 degrees 35 minutes 24 seconds is 39 degrees 24 minutes 36 seconds or 0.686 radians, and its supplementary angle is 129 degrees 24 minutes 36 seconds or 2.256 radians. Its conjugate angle is 229 degrees 24 minutes 36 seconds or 3.998 radians.

f) The complementary angle of 320 degrees is 40 degrees or 0.698 radians, and its supplementary angle is 40 degrees or 0.698 radians. Its conjugate angle is 40 degrees or 0.698 radians.

g) The complementary angle of 5 radians is 0 radians, and its supplementary angle is 175 degrees or 3.054 radians. It does not have a conjugate angle as it is greater than 180 degrees.

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Answer:

I think no real zeros

I solved with quadratic formula and got

\( \frac{ - 5 + - \sqrt{ - 395} }{10} \)

The probability density function (pdf) of the random variable Z = X + Y can be found by convolving the pdfs of X and Y. In this case, X is uniformly distributed over (0,1), and Y is exponentially distributed with parameter λ = 1.

To find the pdf of Z, we need to compute the convolution of the pdfs of X and Y. The convolution operation involves integrating the product of the two pdfs over their respective ranges.

The pdf of X is fX(x) = 1 for 0 < x < 1, and the pdf of Y is fY(y) = e^(-y) for y > 0.

To compute the convolution, we integrate the product of fX(x) and fY(z-x) over the range of x from 0 to 1:

fZ(z) = ∫[0,1] fX(x) * fY(z-x) dx.

Simplifying the integral and substituting the given pdfs, we have:

fZ(z) = ∫[0,1] 1 * e^(-(z-x)) dx.

Evaluating the integral, we find that fZ(z) = e^(-z) for z > 1, and fZ(z) = 0 for z ≤ 0.

Therefore, the pdf of Z = X + Y is given by fZ(z) = e^(-z) for z > 1, and fZ(z) = 0 for z ≤ 0.

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As the sample size (n) increases, the power of the statistical test also increases.

The power of a statistical test measures the ability of the test to detect a true effect or reject a false null hypothesis. In this case, the investigator states that the power of his test at a significance level of 1% is 0.87. If the sample size (n) increases, the power of the test increases.

Increasing the sample size generally leads to an increase in the power of a statistical test. This is because a larger sample size provides more information and reduces the variability in the data. With a larger sample size, the test has a greater chance of detecting a true effect and rejecting the null hypothesis when it is false. Consequently, the power of the test increases.

In summary, as the sample size (n) increases, the power of the statistical test also increases. This is because a larger sample size enhances the test's ability to detect true effects and reject false null hypotheses, resulting in higher statistical power. Therefore, in this scenario, increasing the sample size would lead to an increase in the power of the test.

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Answer:

I hope this helps you

Step-by-step explanation:

84-16=68

68-18=50

50-28=22

n=22

equation:84-(16+18+28)

Answer:

84 - (28+16+18)= n

Step-by-step explanation:

The parentheses are how many of the coins are not nickels. and if you add it then subtract it from the total amount you will get how many nickels were in the jar.

The coordinate matrix of x in the basis b' is calculated to be,

[-2    1      6]

[ 1     0     4]

[ 0   10    6]

To find the coordinate matrix of x in the basis b', we need to express x as a linear combination of the basis vectors in b', and then use the coefficients of the linear combination as the entries of the coordinate matrix.

So we want to find scalars a, b, and c such that:

(4, 30, -8) = a(8, 11, 0) + b(7, 0, 10) + c(1, 4, 6)

Expanding this equation, we get a system of linear equations,

8a + 7b + c = 4

11a + 4c = 30

10b + 6c = -8

Solving the above  system of equations, we will get:

a = -2, b = 1, and c = 6

Hence , the required coordinate matrix of x in the basis b' is found to be :

[-2  1  6]

[ 1  0  4]

[ 0 10  6]

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Answer:

64

Step-by-step explanation:

The exponent of a number says how many times to use the number in a multiplication.

8 to the Power 2

In 82 the "2" says to use 8 twice in a multiplication,

so 82 = 8 × 8 = 64

In words: 82 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

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An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.

1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.

A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.

2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).

The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.

The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.

Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.

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Step-by-step explanation:

do you mean --8 plus 31

The value of k is -2/5. This is the value of K if \(16^{-k-1} = (\frac{1}{64})^{-k}\). Exponents are used in exponential functions, as the name suggests.

A constant serves as the exponent in an exponential function, but not the other way around (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

\(16^{-k-1} = (\frac{1}{64})^{-k}\)

\((4^{2})^{-k-1} = (\frac{1}{4^{3} })^{-k}\)

\(4^{-2k-2} = (4^{-3})^{-k}\)

\(4^{-2k-2} = 4^{3k}\)

As the base are equal so the exponents are equal

Hence,

-2k-2 = 3k

-2 = 3k + 2k

-2 = 5k

-2/5 =k

Therefore the value of K is -2/5

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Answer:

The story presents Raven's trick against the Sky Chief in a matter-of-fact manner.

Step-by-step explanation:

The myth shows what they find valued or acceptable in their culture.

Answer:

Step-by-step explanation:

25% is the same as 1/4.

18.26/4=4.56500≈4.57

Chrissie's friend is correct since 4.44 is less than 4.57.

25% of $18.26=4.56500≈$4.57

The tip should be at least $4.57

Answer:

x=0

Step-by-step explanation:

letter B

Answer:

B

Step-by-step explanation:

Take the three outaide the parentheses and distribute to both terms inside the parentheses. You would then get 3x+15= 15

subtract 15 from the left and right.

3x=0

Which means that x=0/3

So x=0

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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For the equation x^2 + xy + y^2 = 3, at the point (-1, -1), the normal vector can be found by taking the gradient of the equation. The gradient is given by ∇f = (df/dx, df/dy), where f is the given equation.

In this case, the normal vector is (∇f(-1, -1)) = (2(-1) + (-1), (-1) + 2(-1)) = (-3, -3). The tangent vector can be found by taking the derivative of one variable with respect to the other, giving (dy/dx) = -1/3. Therefore, the equation for the tangent line is y - (-1) = (-1/3)(x - (-1)), which simplifies to y = (-1/3)x - 2/3. The equation for the normal line can be obtained by using the point-slope form with the normal vector (-3, -3), resulting in y - (-1) = -3(x - (-1)), which simplifies to y = -3x + 2.

For the equation (y - x)^2 = 2x, at the point (2, 4), the normal vector can be found by taking the gradient of the equation. The gradient is (∇f(2, 4)) = (df/dx, df/dy) = (2(4) - 2, 2(2 - 4)) = (6, -4). The tangent vector can be found by taking the derivative of one variable with respect to the other, giving (dy/dx) = 2 - 1/(2(y - x)). Substituting the point (2, 4) into the equation, we get (dy/dx)(2, 4) = 2 - 1/(2(4 - 2)) = 2 - 1/4 = 1.75. Therefore, the equation for the tangent line is y - 4 = 1.75(x - 2), which simplifies to y = 1.75x - 1.5. The equation for the normal line can be obtained by using the point-slope form with the normal vector (6, -4), resulting in y - 4 = -4(x - 2), which simplifies to y = -4x + 12.

For the equation (x^2 + y^2)^2 = 9(x^2 - y^2), at the point (sqrt(2), 1), the normal vector can be found by taking the gradient of the equation. The gradient is (∇f(sqrt(2), 1)) = (df/dx, df/dy) = (2(sqrt(2))^2(2) - 9(2sqrt(2)), 2(1)^2(2) - 9(-2)) = (4 - 36sqrt(2), 4 + 18) = (-36sqrt(2), 22). The tangent vector can be found by taking the derivative of one variable with respect to the other, giving (dy/dx) = -((x^2 + y^2) / (4x^3 - 9y^2)). Substituting the point (sqrt(2), 1) into the equation, we get (dy/dx)(sqrt(2), 1) = -((sqrt(2)^2 + 1^2) / (4(sqrt(2))^3 - 9(1)^2))

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Answer:

1792, -7168

Step-by-step explanation:

If you can find the constant number multiplied in the pattern, you know that it multuplies by -4. -448 times -4 will be a positive number, which the answer is 1792 if you use the calculator, then you use 1792 and multiplie that by -4 to get -7168.

That's the answer, 1792, then -7168.

Answer:

729

Step-by-step explanation:

27^2 =

Answer:

Step by step explanation:

To find the average temperature, you take the three different temperatures you had throughout the day and divide them by how many different kinds there are. (3).

This means that the average is 1°F. This is because you have to add -3 + 12 + (-6) = 3.

Then you have to divide 3 by the amount of numbers you need to average between. In this case, you have to divide 3 by 3.

So, your final answer is:

The average temperature for the day was 1°F

TRUE. We can observe n coin flips, record each heads as 1, and each tails as 0. Then, sum up all of our 1s and 0s, divide by n (in other words, we calculate the sample mean), and we have just calculated the sample proportion p-hat. This is a method used to find the probability of an event.

The sample proportion is known as p-hat. The proportion of successes in the sample is denoted by the p-hat symbol. The sample proportion is a statistic that estimates the actual proportion of the population. The proportion of successes in a sample is referred to as the sample proportion.

When sample proportion represents a percentage, it is indicated as a percentage (x%). So, sample proportion p-hat is a statistical term that provides us with an estimate of the actual proportion of the population from the sample proportion.

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Answer:

yes its correct

Step-by-step explanation:

11.8-9.3=2.5

g=2.5

Answer:

Find the prime factorization of 26

26 = 2 × 13

Find the prime factorization of 40

40 = 2 × 2 × 2 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2

Step-by-step explanation:

mark me brainliest!

Answer:

Step-by-step explanation:

It is 2

Answer:

(2-3)-(2-3)

Step-by-step explanation:

So If You Calculate the first (2-3) your answer will be -1 Then You Will Calculate The Answers Which are:(-1)-(-1) Then You Will Get 0