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Alborosie
3 years ago
8

This​ year, Druehl,​ Inc., will produce 57,600 hot water heaters at its plant in​ Delaware, in order to meet expected global dem

and. To accomplish​ this, each laborer at the plant will work 200 hours per month. If the labor productivity at the plant is 0.15 hot water heaters per labor​ hour, how many laborers are employed at the​ plant? Number of laborers employed by the plant​ = nothing laborers ​(round your answer to the nearest whole​ number).
Business
1 answer:
VLD [36.1K]3 years ago
8 0

Answer:

The number of labor employed by the plant is 160

Explanation:

The computation of the labor employed at the plant  is shown below:

= Yearly production ÷ (labor hours per month × productivity × month per year)

= 57,600 ÷ (200 hours × 0.15 × 12)

= 57,600 ÷ 360

= 160

Hence, the number of labor employed by the plant is 160 and the same is to be considered

We simply applied the above formula

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An oil refinery is located on the north bank of a straight river that is 3km wide. A pipeline is to be constructed from the refi
Mariulka [41]

Answer:

$6,598,076.21

Explanation:

<h2>THE KEY IS TO FIND OUT THE COST FUNCTION, the calculations are very easy!!!</h2><h2></h2><h3>In order to find the cost function, take a look at the drawing attached. </h3>

We can see the river (sort of) that is 3 km wide and the storage tanks on the other side of the river 8 km apart.

<h3 />

Laying pipes under (across) the river costs 1,000,000 the km & laying pipes over land costs 500,000 per km.

<h3 /><h3>So basically the cost function is 1,000,000 multiplied by something plus 500,000 multiplied by another something.</h3><h3 />

The distance across the river can be found by using Pythagoras Theorem. A side is 3 km the other is unknown, so we call it X. And it is equal to:

\sqrt{3^{2} +x^{2}}=\\\sqrt{9 +x^{2}}

And we multiply it by 1,000,000; the cost of laying pipe under the river, the we get:

1000000\sqrt{9+x^{2}

The distance over the land is (8-x), as we can see in the drawing. So we multiply it by its cost, 500,000. And we get 500,000(8-x).

So the cost function f(x) would be:

f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)

<h2>From here, we just have to differentiate and the derivative found must be equal to zero in order to minimize cost. </h2><h3>The value of x when the derivative is zero is plugged in the original function to get the cost.</h3><h3 /><h2>LET'S DO THIS</h2>

f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(x)=1000000(9+x^{2})^{1/2}+4000000-500000x\\f'(x)=\frac{1}{2} 1000000(9+x^{2})^{-1/2}(2x)-500000\\\\f'(x)=\frac{1000000x}{\sqrt{9+x^2}}  - 500000

<h2>f'(x)=0</h2>

f'(x)=\frac{1000000x}{\sqrt{9+x^2}}  - 500000=0\\\frac{1000000x}{\sqrt{9+x^2}}  = 500000\\\frac{2x}{\sqrt{9+x^2}}  = 1\\2x={\sqrt{9+x^2}}\\4x^2=9+x^2\\3x^2=9\\x^2=3\\x=\sqrt{3} \\

And we plug square root of 3 in the original cost function  ad we get

f(\sqrt{3} )=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(\sqrt{3})=1000000\sqrt{9+(\sqrt{3} )^{2}} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{9+3} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{12}+500000(6.27)\\f(\sqrt{3})=1000000(3.46)+500000(6.27)\\f(\sqrt{3})=3464101.62+3133974.60\\f(\sqrt{3})=6598076.21\\

<h2>so the minimal cost is $6,598,076.21</h2><h2 /><h3 />

6 0
3 years ago
Charles Zimmerman owns an acre of swampy land just off the interstate. He would like to pave the surface and build a gas station
blagie [28]

B. legal and regulatory requirements

8 0
3 years ago
Bluefield Corp. has two product lines, A and B. Bluefield has identified the following information about its overhead and potent
Triss [41]

Answer:

Overhead assigned to product  labour hours

Product A =  $36.5  per hour ×  76%×  1900= 52,706.0  

Product B =  $36.5  per hour ×  24%×  1900= 16,644.0

Overhead assigned to product using machine hours

Product A =  $1.54 × 17,700= $27,258

Product B =  $1.54   × 27,300 =$42,042

Explanation:

Under the traditional absorption costing system, overhead is assigned to units produced using the direct labour hours or machine hours basis.

Overhead absorption rate = Budgeted overhead for the period/Budgeted labour hours

OAR = $69,300 /1,900 hours  

= $36.5  per hour

Overhead assigned to product

Product A =  $36.5  per hour ×  76%×  1900= 52,706.0  

Product B =  $36.5  per hour ×  24%×  1900= 16,644.0

Overhead absorption rate = Budgeted overhead for the period/Budgeted machine hours

OAR = $69,300 /45,000 hours= $1.54 per hour

Overhead assigned to product

Product A =  $1.54 × 17,700= $27,258

Product B =  $1.54   × 27,300 =$42,042

4 0
3 years ago
A firm's annual stockholders' report ________. documents the list of all investors who bought the firm's shares during the past
Lapatulllka [165]

Answer:

summarizes and documents the firm's financial activities during the past year

Explanation:

A firm's annual report must include a comprehensive report about the firm's financial and operational activities throughout the year. The SEC requires public corporations to prepare and disclose quarterly reports (every 3 months) that are available to both stockholders and other people interested in them. Generally private companies are required to prepare at least one annual report.

8 0
3 years ago
Free-market capitalism is characterized by
noname [10]
Had to look for the options and here is my answer:
When we say Free-Market capitalism, this means that this kind of market system has their own individual decisions and are not controlled by the government. Therefore, the one that fits the blank above is this answer: <span>the right to freedom of competition. Hope this helps.</span>
5 0
3 years ago
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