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artcher [175]
3 years ago
8

A manufacturing company has budgeted production at 940 units for the month. Each unit requires 3.5

Business
1 answer:
USPshnik [31]3 years ago
5 0

The total cost of direct labor for the month will be $ 49350, if the company has budgeted production at 940 units for the month, each unit requires 3.5 hours of labor to produce and the average labor rate is $15 per hour.

Explanation:

The given is,

          Total units produced in a month

                                 = 940 unit per month

          Time for each unit

                                 = 3.5 unit per hour

               Labor rate = $15 per hour

Step:1

           Total Labor working hours for 940 units,

                                  = Total units × Time for each unit

                                  = 940 × 3.5

                                  = 3290 hours

Step:2

           Labor cost total working hours

                                 = Total Labor working hours × Labor cost per hour

                                 = 3290 × 15

                                 = $ 49350

Result:

         The total cost of direct labor for the month will be $ 49350, if the company has budgeted production at 940 units for the month, each unit requires 3.5 hours of labor to produce and the average labor rate is $15 per hour.

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The given data represent the total compensation for 10 randomly selected CEOs and their​ company's stock performance in 2009. An
jok3333 [9.3K]

Missing Question Data:

As the Question is missing relevant data, I have searched for it online and found a question similar. The data is attached in a picture file. It might be a little different from your actual question but same approach can be used to solve the question.

Answer with Explanation:

For simplicity, we denote the compensations with variable <em>x </em>and the stock return with variable <em>y.</em> Let us first find the mean and standard deviation for both compensation (x) and return (y).

Mean of Compensation (<em>x) </em> will be,

X\;=\;\frac{26.43\;+\;12.03\;+\;19.74\;+\;13.54\;+\;11.97\;+\;11.41\;+\;25.94\;+\;14.46\;+\;17.13\;+\;14.71}{10}

X\; = \;16.737

Mean of Stock Return (y) will be,

Y\;=\;\frac{5.43\;+\;30.89\;+\;31.89\;+\;80.06\;-\;8.22\;+\;2.89\;+\;4.39\;+\;10.95\;+\;4.18\;+\;11.94}{10}

Y\;=\;17.44

Standard Deviation for Compensation (x) is given by,

\sigma _{x}\;=\;\sqrt{\frac{\sum (x_{i}-X)^{2}}{N}}

\sigma _{x}\;=\;\sqrt{\frac{(26.43-16.73)^{2}+(12.03-16.73)^{2}+....+(14.71-16.73)^{2}}{10}}

\sigma _{x}\;=\;5.30

Standard Deviation for Compensation (x) is given by,

\sigma _{y}\;=\;\sqrt{\frac{\sum (y_{i}-Y)^{2}}{N}}

\sigma _{y}\;=\;\sqrt{\frac{(5.43-17.44)^{2}+(30.89-17.44)^{2}+....+(11.94-17.44)^{2}}{10}}

\sigma_{y}\;=\;23.97

To find the predicted stock return, we have to use the equation for of line of regression,

y_{required}\;-\;Y\;=\;z\;*\;\frac{\sigma _{x}}{\sigma _{y}}\;*\;(x_{required}-X)\;.........\;(1)

where,

z\; =\;Correlation\;coefficient\;=\;-0.2426\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;(given)

x_{required}\;=\;Compensation\;of\;\$15\;million\;=\;15

y_{required}\;=\;Stock\;return\;at\;x_{required}

Equation (1) will become,

y_{required}\;-\;17.44\;=\;-0.2426\;*\;\frac{5.30}{23.97}\;*\;(15\;-\;16.73)

y_{required}\;=\;-0.054*\;(-1.73)\;+\;17.44\;

y_{required}\;=\;17.533.

4 0
3 years ago
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