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sashaice [31]
3 years ago
10

The owner of a quick oil-change business charges $ 20 per oil change and has 40 customers per day. If each increase of $ 2 resul

ts in 2 fewer dailer customers, what price should the owner charge (to the nearest $ 2 ) for an oil change if the income from the business is to be as great as possible?
Business
1 answer:
Airida [17]3 years ago
4 0

Answer:

maximum income is $900

Explanation:

given data

oil change = $20

per day = 40 customer

increase = $ 2

dailer customers = 2

owner charge = $ 2

to find out

income from the business

solution

we know current income is 40 × 20

current income = $800

we consider here price increase x and income as function y

so y = (20 +2x) × ( 40 - 2x)    ........1

y = −4x² + 40x + 800

take derivative and put dy/dx = 0 for maximum

dy/dx = -8x + 40

0 = -8x + 40

x=5

so here from 1

y = (20 +2x) × ( 40 - 2x)

y = (20 +2(5)) × ( 40 - 2(5))

y = 30 × 30

y = 900

so maximum income is $900

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Echo Corporation uses a job-order costing system and applies overhead to jobs using a predetermined overhead rate. During the ye
ozzi

Answer:

Actual overhead= $153,400

Explanation:

Giving the following information:

During the year the company's Finished Goods inventory account was debited for $360,000 and credited for $338,800. The ending balance in the Finished Goods inventory account was $36,600.

At the end of the year:

Manufacturing overhead was overapplied by $15,900.

If the applied manufacturing overhead was $169,300.

Because the manufacturing overhead was overapplied, we need to subtract from the applied overhead to determine the actual overhead.

Actual overhead= applied overhead - overapplied overhead

Actual overhead= 169300 - 15900= $153,400

5 0
3 years ago
Ms. Langley is 30 years old and has begun a retirement plan that permits he r to place monthly amounts of $400 into a retirement
elena-14-01-66 [18.8K]

Answer:

Instructions are listed below

Explanation:

Giving the following information:

Ms. Langley is 30 years old and has begun a retirement plan that permits her to place monthly amounts of $400 into a retirement vehicle, beginning one month from now, for 30 consecutive years.

When Ms. Langley reaches her retirement at age 60, she expects to live for 25 more years. The interest rate is 6%.

First, we need to calculate the amount of money that she will have at age 60, using the following formula.

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= 400

n= 30*12= 360

i= 0.06/12= 0.005

FV= {400[(1.005^360)-1]}/0.005= $401,806.02

Months= 25years*12= 300 months

Monthly= 401,806.02/300= $1,339.35

4 0
3 years ago
The Canton Corporation shows the following income statement. The firm uses FIFO inventory accounting. CANTON CORPORATION Income
Zepler [3.9K]

Answer:

Aftertax income     47,278.7

Explanation:

Sales 14,600 units at $14.30 (10%Δ)       208,780

Cost of goods sold (unchanged)        <u>   (116,800)   </u>

      Gross profit                                         91,980

S&A expenses; 5% of sales

208,780 x 5% =                                          (10,439)

Depreciation  (unchanged)                    <u>   (14,000)  </u>

Operating profit                                           67,541  

Taxes (30% of operating profit)             <u>    20,262.3  </u>

Aftertax income                                          47,278.7‬

8 0
3 years ago
Last month your average daily rate was $76.99, and you had 2,932 rooms occupied. You want to know how this compares to the same
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Answer:

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n=\frac{\$231,470}{\$76.72}\\n=3,017\\

The number of rooms occupied last year is larger than the number of rooms occupied this year by:

\Delta n = 3,017-2,932\\\Delta n = 85\ rooms

The hotel occupied 85 less rooms this year than last.

7 0
3 years ago
Explain the purposes of companies act​
Ymorist [56]

Answer:

The purposes of the Act and King 111 are, inter alia, to promote compliance with the Bill of Rights as provided for in the Constitution in the application of company law, to encourage transparency and high standards of corporate governance and provide for the balancing of rights and obligations of shareholders

3 0
3 years ago
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