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wel
3 years ago
14

(Chemical Manufacturing) A chemical manufacturer produces a certain chemical compound every Sunday, which it then sells to its c

ustomers on Monday through Saturday. The company earns a revenue of $80 per kg of the compound sold. Each kg manufactured costs the company $40. If any of the compound goes unsold by Saturday night, it must be destroyed safely, at a cost of $15 per kg. The total demand for the chemical compound throughout the week has a normal distribution with a mean of 260 kg and a standard deviation of 80 kg.a) How much of the chemical compound should the company produce every Sunday?b) What is the expected cost (including manufacturing cost, lost profit, and disposal cost) per week?
Business
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

The answer is "244 kg and $9,760".

Explanation:

Income in per kg = $80  

designing and producing costs per kg= $40  

Earn revenue per kg = $40 (that is often recognized as the expenses) and the sum of the company would not be allowed if the consumer has no kg of the product.  

Overstocking cost in per kg = $40 production cost + $15 disposal cost  

                                               = $55

the corporate amount should be borne if additionals kg is generated.  

In potion A:

Due to regular transfer, the optimal quantity of data must not be generated per week = \mu +Z\times \sigma (\mu= average demand, Z = normal distribution score, and \sigma = standard deviation).  

Z =\frac{\ Understocking \ Cost}{\ Understocking \ Cost +\ Overstocking \ Cost}

Each Saturday the company of chemicals composites shall produce = 244

In potion B:

Weekly estimated cost  

= \text{Maximum weekly order (244 kg)} \times \ Production \ overhead \ per \ kg (\$ 40)}\\

= \$ 9,760

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Answer:

To assist the readers to relate objects and actions with texts.

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This is evident in the fact that illustration in a text is a means of presenting a graphical representation of ideas, processes, or theories to aid or give elaborate meaning to what is written.

5 0
3 years ago
The number one reason risk pooling is valuable to the insurance industry is... A. It allows companies to charge the same premium
kolbaska11 [484]

The reason for risk pooling which is beneficial for the insurance industry is best described as it brings together many individuals' premiums so that there is money to cover a selected few losses.

Option B is the correct answer.

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7 0
2 years ago
The brenda one is the question thank youuu:)
Ivenika [448]

Answer:

C. y = 11000(1.086)^7

Explanation:

Given the following data;

Principal = $11,000

Interest rate = 8.6% = 8.6/100 = 0.086

Time = 7 years

To derive a mathematical expression, we would use the compound interest formula;

A = P(1 + \frac{r}{100})^{t}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the formula, we have;

A = 11000*(1 + \frac{8.6}{100})^{7

A = 11000*(1 + 0.086)^{7

A = 11000*(1.086)^{7

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7 0
3 years ago
On April 1, the company retained an attorney for a flat monthly fee of $2,000. Payment for April legal services was made by the
olga55 [171]

Answer:

                                       Journal Entries

Date         Account Titles and Explanation      Debit       Credit

April 30   Salaries expenses                             $4,800

                 ($12,000/5) * 2

                        Salaries payable                                         $4,800

                  (To record the Accrual of salaries expense)

May 30      Salaries Expenses

                   ($12,000/5)*3                                   $7,200

                   Salaries payable                              $4,800

                           Cash                                                           $12,000

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6 0
3 years ago
On January 1, 2021, the company obtained a $3 million loan with a 14% interest rate. The building was completed on September 30,
Svet_ta [14]

Answer:

1. Calculate the amount of interest that Mason should capitalize in 2021 and 2022 using the weighted-average method.

interest capitalized in 2021 = $166,189

interest capitalized in 2022 = $77,956

2. What is the total cost of the building?

total construction costs ($6,375,000) + capitalized interests ($244,145) = $6,619,145

3. Calculate the amount of interest expense that will appear in the 2021 and 2022 income statements.

interest expense 2021 = $1,148,000 - $166,189 = $981,811

interest expense 2022 = $1,148,000 - $77,956 = $1,070,044

Explanation:

a 14%, $3,000,000 loan obtained on January 1, 2021

building was completed on September 30,2022

January 1, 2021: $1,050,000 x 12/12 = $1,050,000

March 1, 2021: $870,000 x 10/12 = $725,000

June 30, 2021: $390,000 x 6/12 = $195,000

October 1, 2021: $690,000 x 3/12 = $172,500

total weighted average expense 2021 = $2,142,500

weighted average interest rate:

$3,000,000 x 14% = $420,000

$4,900,000 x 5% = $245,000

$6,900,000 x 7% = $483,000

average interest rate = $1,148,000 / $14,800,000 = 7.7568%

interest capitalized in 2021 = $2,142,500 x 7.7568% = $166,189

January 31, 2022: $675,000 x 8/9 = $600,000

April 30, 2022: $990,000 x 5/9 = $550,000

August 31, 2022: $1,710,000 x 1/9 = $190,000

total weighted average expense 2021 = $1,340,000

weighted average interest rate:

$3,000,000 x 14% = $420,000

$4,900,000 x 5% = $245,000

$6,900,000 x 7% = $483,000

average interest rate = $1,148,000 / $14,800,000 = 7.7568%

interest capitalized in 2022 = $1,340,000 x 7.7568% x 9/12 = $77,956

4 0
3 years ago
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