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sdas [7]
3 years ago
8

An undergraduate business student has purchased a laptop computer for use during exams. This laptop is perfectly reliable except

for two parts: its microchip, which has a failure rate of one in every twenty hours of operation; and its battery, which has a failure rate of one in every ten hours of operation. Also, on average the battery will wear out in five hours, with a standard deviation of 30 minutes. Assuming that a new battery has just been installed, what is the probability that the laptop will perform reliably during a one-hour exam?
Business
1 answer:
g100num [7]3 years ago
8 0

Answer:

probability of a reliable performance = 19/20

Explanation:

If a new battery has just been installed, then the chances of failure are only contributed by the faulty microchip, which has a failure rate of 1 in 20 hours.

Therefore in 1 hour, the probability that the laptop will perform reliably is calculated as follows:

Chances of failure = 1 in 20

20 hours = 1 chance of failure

∴ 1 hour = 1/20 chance of failure

1/20 = 0.05 chance of failure

Now, let us express 0.05 as fraction:

0.05 = 5/100

Therefore in 1 hour, there is a 5 in 100 chances of failure.

But we are asked to find the probability that the laptop will perform reliably. This is simply done by finding the difference between the total chances of occurrence (100)  and the chances of failure (5)

∴ Probability of reliable performance in one hour = (100 - 5) / 100

= 95/100

95/100 = 19/20

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Accounts receivable arising from sales to customers amounted to $84,000 and $74,000 at the beginning and end of the year, respec
solmaris [256]

Answer:

$330,000

Explanation:

Change in WC = Opening receivables - Closing receivables

Change in WC = $84,000 - $74,000

Change in WC = $10,000

The decrease in working capital is $10,000

Cash from operating activities = Net income + Decrease in Working Capital

Cash from operating activities = $320,000 + $10,000

Cash from operating activities = $330,000

Thus, the cash from operating activities is $330,000

4 0
3 years ago
Swiss Group reports net income of $40,000 for 2019. At the beginning of 2019, Swiss Group had $200,000 in assets. By the end of
Sati [7]

Answer:

For the tear 2019, net income is 40,000

Beginning of the year 2019, asset of the S are 200,000

Ending of the year 2019, asset of the S are 300,000

Average asset for 2019= Beginning assets + Closing assets / 2

Average asset for 2019= 200,000 + 300,000 / 2

Average asset for 2019= $250,000

Return on assets = Net income / Average assets * 100%

= 40,000 / 250,000 * 100

=16%

Thus, the return on assets is 16%

Conclusion: If the average return of assets of the competitors are 11%, It means S uses the assets efficient manner, so performance of the S is very good ad return of the S is higher than competitors on asset

8 0
3 years ago
You were appointed the manager of Drive Systems Division (DSD) at Tunes2Go, a manufacturer of portable music devices using the l
Volgvan

Answer:

Answer is explained below.

Explanation:

A.

Assume the new testing equipment is rented and installed on December 31 and impact on this year's divisional operating profit

Loss from equipment write-off

Sales revenue 9,820,000    

Operating costs:    

Variable -1,190,000    

Fixed (cash expenditures) -4,390,000    

Equipment depreciation -960,000    

Other depreciation -710,000    

Loss from equipment write-off -5,040,000    

Operating profit (loss) before taxes

Operating profit (loss) before taxes=-$2,470,000(Loss)

Loss from equipment write-off= Value of equipment -Equipment Depreciation =$6,000,000-$960,000=$5,040,000

B.

Assume the new testing equipment is rented and installed on December 31. and the impact on next year's divisional operating profit

Sales revenue 9,820,000+690,900=10,510,900 Add 7% of 9,820,000=690,900  

Operating costs:    

Equipment rental -1,370,000    

Variable -1,190,000    

Fixed cash expenditures -4,390,000+263,400=-4,126,600 6%of 4,390,000=263400  

Equipment depreciation -960,000    

Other depreciation -710,000    

Operating profit (loss) before taxes 2,154,300(Profit)  

C.

Would you rent the new equipment - Yes Because it is benificial for Company as it is earning profit of $2,154,300

3 0
4 years ago
These are selected account balances on December 31, 2014.
zloy xaker [14]

Answer:

$1,150,000

Explanation:

Two categories of operatng assets are presented on the balance sheet: Property, plant and equipment; intangible assets.

They are presented at their acquisition cost (historical cost).

The balance sheet uses one line item for property, plant and equipment and presented the details in the notes.

Initially are recorded at acquisition cost or original cost, that include all cost normally necessary to acquire an asset and prepare it for its intended use.

A depreciation is an allocation of the original cost of an asset to the periods benefited by its use.

In this case, he total amount of property, plant, and equipment that will appear on the balance sheet is $1,150,000 because:

Land $100,000 + Buildings 800,000 + Equipment 450,000 + Furniture 100,000 - Accumulated Depreciation 300,000 = $1,150,000.

6 0
3 years ago
Gritz-Charlston is a 300-unit luxury hotel. All rooms are occupied when the hotel charges $80 per day for a room. For every incr
ki77a [65]

Answer:

The hotel should charge $201 per day in order to maximize profit

Explanation:

According to the given data we have the following:

The number of occupied rooms is 300-x, and x vacant rooms.

Hence, The revenue R(x) = (300-x) * ($80 + x), the number of occupiedrooms times the charge per room.

The cost C(x) = (300-x) * $22.

Therefore, The profit P(x) = R(x)-C(x) = (300-x) (58 + x) = 17400 + 242 x -x^2.

P'(x) = 242 - 2x.

Critical point: x= 121.

So Charge = $80 + x = $80 + $121 = $201

The hotel should charge $201 per day in order to maximize profit

6 0
4 years ago
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