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Brrunno [24]
3 years ago
13

Suppose a small business has sales of $15,000 this month, with future sales expected to grow by $1,600 each month. Costs consist

of a fixed component, which is $7,500 per month, and a variable component, which is 40 percent of sales. Design a spreadsheet to compute the gross profit (revenue less fixed and variable costs) per month over a nine month period. What is the gross profit in a single month 7 months from now?
Business
1 answer:
liraira [26]3 years ago
7 0

Answer:

$8,220

Explanation:

According to the scenario, computation of the given data are as follow:-

This month Sales = $15,000

Growth expect in future sales per month = $1,600

Next Month Sales  = Current Month Sales + Growth Expect In Future Sales Per Month

Variable Cost = Total Sale of Current Month × 40%

Gross Profit = Sales - Fixed Cost - Variable Cost

                                            Per Month Gross Profit

Particular  Month 1  Month  2 Month  3 Month  4 Month  5 Month  6 Month  7

Sales ($) 16,600 18,200 19,800 21,400 23,000 24,600 26,200

Less - Fixed cost($) 7,500 7,500 7,500 7,500 7,500 7,500 7,500

Less-Variable cost ($) 6,640 7,280 7,920 8,560 9,200 9,840 10,480

Gross profit ($) 2,460 3,420 4,380 5,340 6,300 7,260 8,220

Gross profit in a single 7 month from now = $8,220

 

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Matt inherited as a trust a fifteen-year annuity-immediate with annual payments. He has been told that the annuity payments earn
Pavel [41]

Answer:

effective annual interest rate = 6.32%

annual payment = $1,585

Explanation:

I believe that this is an ordinary annuity, so we can use the future and present value of an ordinary annuity formula:

FV = annual payment x FV annuity factor, so annual payment = FV / FV annuity factor

PV = annual payment x PV annuity factor, so annual payment = PV / PV annuity factor

we can equal both equations:

PV / PV annuity factor = FV / FV annuity factor

FV / PV = FV annuity factor / PV annuity factor

$37,804.39 / $15,077.10 = FV annuity factor / PV annuity factor

2.5074 = FV annuity factor / PV annuity factor

the easiest way to solve this is to use an annuity table since we already know that there are 15 periods (I used an excel spreadsheet):

%,15 periods      FV annuity factor     PV annuity factor        FV/PV

1                                 16.097                   13.865                      1.1609

2                                17.293                   12.849                      1.34586

3                                18.599                    11.938                      1.55797

4                               20.024                     11.118                       1.80104

5                                21.579                   10.380                      2.07890

<u>6                               23.276                   9.7122                       2.3966</u>

<u>7                                25.129                   9.1079                       2.7590</u>

8                                27.152                   8.5595                       3.1721

9                                29.361                   8.0607                      3.6425

10                               31.772                   7.6061                         4.4112

The interest rate must be between 6 and 7%:

%,15 periods      FV annuity factor     PV annuity factor        FV/PV

6                               23.276                   9.7122                       2.3966

6.1                             23.45404              9.6461                       2.43145

6.2                            23.63369              9.5858                      2.46549

6.3                            23.81491               9.52467                     2.50034

6.31                           23.83312               9.51851                     2.50387

<u>6.32                          23.85135               9.51236                     2.5074</u>

6.4                            23.99773              9.46337                     2.53585

effective interest rate = 6.32% per year

annual payment = $37,804.39 / 23.85135 = $1,585

           

6 0
2 years ago
An employee earns $24 per hour and 1.5 times that rate for all hours in excess of 40 hours per week. Assume that the employee wo
ANTONII [103]

Answer:

Gross pay for the week is $1,500

Net pay for the week is $1,043

Explanation:

The gross pay is computed thus:

Normal rate pay  40 hrs*$24               =$960

Above normal pay(55-40)*$24*1.5     =$540

Gross pay                                               $1,500

Deductions:

Social security(6.0%*$1,500)                 ($90)

Medicare(1.5%*$1,500)                          ($22.5)

Federal income tax                                ($345)

Net pay for the week                              $1,043

The net pay for the week is gross pay less social security tax,medicare as well as the federal income tax,$1043 is the employee net pay for the week

4 0
2 years ago
Victryl Company applies overhead based on direct labor hours. At the beginning of the year, Victryl estimates overhead to be $70
yan [13]

Answer:

correct option is a. $1,700 over head applied

Explanation:

given data

overhead = $700,000

machine hours = 200,000

direct labor hours = 35,000

Feb, direct labor hours = 5,000

Feb, machine hours = 10,000

Feb, actual overhead = $98,300

solution

we know overhead rate that is

overhead rate = \frac{Budget overhead}{allocation base}

overhead rate = \frac{700000}{35000}

overhead rate = $20 per hours

and in Feb for 5000 direct labor hour

overhead =  5000 × $20  = $100,000

so

over head applied = $100,000 - $98300

over head applied = $1700

so correct option is a. $1,700 over head applied

8 0
3 years ago
7. Gold Company has budgeted the following costs for the production of its only product: Direct Materials $75,000 Direct Labor 5
STatiana [176]

Answer:

$68 = unitary variable cost

Explanation:

Giving the following formula:

Gold Company wants a profit of $100,000

Production= 2,500 units

Selling price= $125

Fixed indirect production costs 27,500

Fixed selling and administrative costs 15,000

<u>To calculate the target total unitary variable cost, we need to use the following formula:</u>

number of units sold= (desired profit + fixed costs) / (selling price - unitary variable cost)

2,500= (100,000 + 27,500 + 15,000) / (125 - unitary variable cost)

312,500 - 2,500unitary variable cost = 142,500

170,000 = 2,500unitary variable cost

$68=unitary variable cost

3 0
3 years ago
After retirement, you expect to live for 24 years. You would like to have $75,000 income each year. How much should you have sav
poizon [28]

Answer:

The amount that you should have saved in your retirement account to receive this income is:

= $727,995.88.

Explanation:

a) Data and Calculations:

Expected lifespan = 24 years

Expected annual income = $75,000

Interest rate per year = 9%

The amount of savings in the retirement account to receive this income is calculated from an online financial calculator as follows:

N (# of periods)  24

I/Y (Interest per year)  9

PMT (Periodic Payment)  75000

FV (Future Value)  0

 

Results

PV = $727,995.88

Sum of all periodic payments = $1,800,000.00

Total Interest = $1,072,004.12

5 0
2 years ago
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