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2 years ago

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Major E. has just opened a cooking school focusing on basic meals for new cooks. Each student pays $15 per class and receives al

l the ingredients necessary to prepare dinner using the recipes demonstrated in the class. Major’s cost to provide the ingredients is $6 per student for each class. Major employs two assistants and pays each of them $1,200 per month. Major’s monthly salary is $1,800. The depreciation on equipment is $1,000 per month and utilities and insurance are $240 per month. Next month, Major plans to earn net income of $1,760. How many students does Major plan to enroll next month?

1 answer:

Shalnov [3]2 years ago

7 0

Answer:

It will need to collect 800`s $15 class

Assuming 4 clases per month

200 student

Explanation:

$Sales \: Revenue - Variable \: Cost = Contribution \: Margin$

15 - 6 = <em>9 Contribution Margin</em>

<em />

<em>Fixed Cost</em>

2 employee 2,400

mayor salari 1,800

equipment dep 1,000

utilities 240

Total fixed 5,440

$\frac{Fixed\:Cost + Target\: Profit}{Contribution \:Margin \:Ratio} = Sales\: to\: Profit{dollars}$

(5,440+1,760)/9 = 800

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Complete question:

Assume that your uncle holds just one stock, East Coast Bank (ECB), which he thinks has very little risk. You agree that the stock is relatively safe, but you want to demonstrate that his risk would be even lower if he were more diversified. You obtain the following returns data for West Coast Bank (WCB). Both banks have had less variability than most other stocks over the past 5 years.

Year ECB WCB

2004 40.00% 40.00%

2005 -10.00% 15.00%

2006 35.00% -5.00%

2007 -5.00% -10.00%

2008 15.00% 35.00%

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b. Measured by the standard deviation of returns, by how much would your uncle's risk have been reduced if he had held a portfolio consisting of 60% in ECB and the remainder in WCB? In other words, what is the difference between portfolio's standard deviation and weighted average of components' standard deviations? (Hint: check the example on page 11-12 on my note).

Solution:

The estimated return of the stock is the average profit.

So the average of ECB is (40-10+35-5+15)/5

= $\frac{75 percent}{5}$

= 15% expected return

WCB expected return = 40+15-5-10+35

= $\frac{75 percent}{5}$

= 15%

They've had the same planned return.

This is generally defined in the Greek letter Mu, (U) A weighted average may also be used to calculate portfolio volatility.

Standard deviation of ECB is $\sqrt{{ sum [(x-U)^2]/5}}$

so for ECB:

$(40-15)^2$ = $25^2$ =6.25%

$(-10-15)^2$ = $-35^2$ = 0.1225

$(35-15)^2$ = $20^2$ = 0.04

$(-5-15)^2$ = $-20^2$ = 0.04

$(15-15)^2$ =0

now 0.0625+0.1225+0.04+0.04+0=0.265

stdev= $\sqrt{(0.265/5)}$ = 0.23

So WCB is the same except in a different order to make things quick I'm only going to add the median again WCB=0.23

Then the 60/40 portfolio will be the "weighted average" of the returns.

portfolio returns

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2005: (60%*-10%)+(40%*15%) = 0%

2006: (60%*35%)+(40%*-5%) = 19%

2007: (60%*-5%)+(40%*-10%) = -7%

2008:(60%*15%)+(40%*35%) = 23%

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