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Ahat [919]
3 years ago
11

There are four balls with the same size in a box. The balls are numbered 1, 2, 3 and 4. Sonya randomly picks up one ball, puts i

t back, and then randomly picks up one ball from the box. Let denote the sum of the numbers on the two balls she picked up. Find (round off to second decimal place).

Business
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

Explanation:

Here we have sampling with replacement. There are 4 x 4 = 16 out comes each with equal probability 1/16 .

The sample space being {1,2,3,4} {1,2,3,4} .

The random variable X representing the sum of the numbers on the balls has values from 2 to 8.

The other detailed steps and appropriate analysis is shown in the attached file.

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Alameda Tile sells products to many people remodeling their homes and thinks that it could profitably offer courses on tile inst
Aneli [31]

Answer:

Alameda Tile

a. The enrollment to enable Alameda Tile to break even = 500 students.

b. To make an operating profit of $80,000, number of students

= 750 students

c. With projected enrollment for the year of 800 students:

1. Operating profit = Total Contribution - Fixed Costs

= ($320 * 800) - $160,000

= $96,000

2. a) Operating Profit, if the tuition per student decreased by 10%.

New selling price = $720  which is $800 * (1 - 10%)

Variable cost             480

Contribution           $240

Operating profit = Total Contribution - Fixed Costs

= ($240 * 800) - $160,000

= $32,000

2. b) Operating Profit, if the tuition per student increased by 20%.

New selling price = $960  which is $800 * (1 + 20%)

Variable cost             480

Contribution           $480

Operating profit = Total Contribution - Fixed Costs

= ($480 * 800) - $160,000

= $224,000

3. a) Operating Profit, if variable costs per student decreased by 10%.

Selling price =         $800

Variable cost             432     $480 * (1 - 10%)

Contribution           $368

Operating profit = Total Contribution - Fixed Costs

= ($368 * 800) - $160,000

= $134,400

3. b) Operating Profit, if variable costs per student increased by 20%.

Selling price =         $800

Variable cost             576     $480 * (1 + 20%)

Contribution           $224

Operating profit = Total Contribution - Fixed Costs

= ($224 * 800) - $160,000

= $19,200

4. Operating profit, if fixed costs reduced by 10% and variable cost increased by 10%:

Selling price =         $800

Variable cost             528     $480 * (1 + 10%)

Contribution           $272

Operating profit = Total Contribution - Fixed Costs

= ($272 * 800) - $144,000 ($160,000 * (1 - 10%)

= $73,600

Explanation:

a) Data and Calculations:

Tentative Price and Cost Characteristics:

Tuition $ 800 per student

Variable costs (tiles, supplies, and so on) 480 per student

Fixed costs (advertising, salaries, and so on) 160,000 per year

Per unit       Tentative

Selling price = $800

Variable cost    480

Contribution  $320

b) Computation of break-even point:

To break-even with fixed cost of $160,000, sales unit will be equal to:

Fixed cost/Contribution per unit = $160,000/$320 = 500 students

c) Fixed cost + Target Profit /Contribution per unit:

= ($160,000 + $80,000)/$320

= $240,000/320

= 750 students

5 0
3 years ago
Parsons Corporation uses a predetermined overhead rate based on direct labor-hours to apply manufacturing overhead to jobs. Last
arsen [322]

Answer:

option (C) 32,750 hours

Explanation:

Data provided in the question:

Actual manufacturing overhead cost = $250,000

Overapplied overhead = $12,000

Predetermined overhead rate = $8.00 per direct labor-hour

Now,

The total Manufacturing Overhead applied last year

= Actual manufacturing overhead cost + Overapplied overhead

=  $250,000 + $12,000

= $262,000

Therefore,

Direct Labor Hours worked last year = \frac{\textup{Total Manufacturing Overhead applied}}{\textup{Predetermined overhead rate}}

or

=  \frac{\textup{262,000}}{\textup{8}}

= 32,750 hours

Hence,

The correct answer is option (C) 32,750 hours

6 0
3 years ago
PHN Foods granted 18 million of its no par common shares to executives, subject to forfeiture if employment is terminated within
kap26 [50]

Answer:

The $12 million is the net increase in the denominator of the EPS fraction if the market price of the common shares averages $5 per share during 2018.

Explanation:

1. The journal entry is shown below:

For December 31, 2017:

Compensation Expenses A/c Dr ($18 million × $5 per share) ÷ 3 = $30 million

    To Restricted Shares $30 million

(Being compensation expenses recorded for 2017 year)

For December 31, 2018:

Compensation Expenses A/c Dr ($18 million × $5 per share) ÷ 3 = $30 million

    To Restricted Shares $30 million

(Being compensation expenses recorded for 2018 year)

2.  The net increase in the denominator of the EPS fraction for 2018 year  is shown below:

=  2018 shares - Restricted shares

= $30 million - $18 million

= $12 million

Hence, the $12 million is the net increase in the denominator of the EPS fraction if the market price of the common shares averages $5 per share during 2018

6 0
2 years ago
Pops' owners and managers use the company's income statement to ultimately determine the company's _________.
Thepotemich [5.8K]

​POPS' owners and managers use the​ company's income statement to ultimately determine the​ company's <u>double </u><u>bottom line</u>.

More about income statement:

One of the three financial statements on which stock investors rely is the income statement. (The balance sheet and cash flow statement round out the list.) Investors who wish to evaluate a company's profitability and potential growth must comprehend an income statement.

Morea about double bottom line:

By adding a second bottom line to gauge a for-profit company's success in terms of its positive social impact, the double bottom line (also known as 2BL or DBL) tries to expand the traditional bottom line, which assesses fiscal performance and accounts for financial profit or loss.

Learn more about bottom line here:

brainly.com/question/3900120

#SPJ4

8 0
1 year ago
Consider a 7-year bond with a 9% coupon and a yield to maturity of 12%. If interest rates remain constant, one year from now the
Llana [10]

Answer:

(C) Higher.

Explanation:

The computation of the present value in both the cases are as follows:

In the first case

Given that

Assume the par value i.e. future value be $1,000

PMT = $1,000 × 9% = $90

RATE = 9%

NPER = 7

The formula is shown below

=-PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula, the present value is $863.09

In the second case

Given that

Assume the par value i.e. future value be $1,000

PMT = $1,000 × 9% = $90

RATE = 9%

NPER = 6

The formula is shown below

=-PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula, the present value is $876.66

So as we can see that the price of the bond would increased

5 0
3 years ago
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