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Lisa [10]
3 years ago
14

The daily profit p in dollars of a company making tables is described by the function upper p left parenthesis x right parenthes

is equals negative 5 x squared plus 240 x minus 2475 p(x)=?5 x 2+240x?2475?, where x is the number of tables that are manufactured in 1 day. the maximum profit of the company occurs at the vertex of the parabola. how many tables should be made per day in order to obtain the maximum profit for the? company
Business
1 answer:
Assoli18 [71]3 years ago
4 0

The following equation of parabola is given:

p(x)= - 5 x^2 + 240 x - 2475

where p(x) = y

This is a standard form of the parabola. We need to convert this into vertex form of equation. The equation must be in the form:

y – k = a (x – h)^2

Where h and k are the vertex of the parabola. Therefore,

y = - 5 x^2 + 240 x - 2475

y = -5 (x^2 – 48 x + 495)

Completing the square:

y = -5 (x^2 - 48 x + 495 + _) - (-5)* _

Where the value in the blank _ is = -b/2

Since b = -48        therefore,

y = -5 (x^2 – 48 x + 495 + 81) + 405

y – 405 = -5 (x^2 – 48 x + 576)

y – 405 = -5 (x – 24)^2

Therefore the vertex is at points (24, 405).

The company should make 24 tables per day to attain maximum profit.

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neonofarm [45]
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FYI - payday loans will have some of the highest interest rates of all loans.

Hope that helps 
8 0
3 years ago
Assume that you are a high-level manager for a shoe manufacturer. You know that your firm could increase its profit margin by pr
Vesnalui [34]

Answer:

The issue here is that you need to balance your company's profits and possible negative due to bad press.

On one side (the good and righteous side), if you do not produce shoes in Asia, your long term survival economic is doubtful, but people view your company as a company that does the right thing no matter what. Will it increase sales? Theoretically it should, but in practice it doesn't. Are Nike sales hurt because each shoe is produced in an Asian country that pays $0.25 per day? No, they aren't. The same applies to Reebok, Adidas, Puma, New Balance and every single major shoe manufacturer in the world. Bad press hurt tuna back in the 80's, but some companies are not affected by it.

The alternative (the evil, dark side of the force side) results in your company being able to survive on the long term. It will not necessarily mean that your company will grow and become the world's largest shoe manufacturer, but you will be able to survive and continue to operate.

There is also a trick that you can use to avoid reputational damage and bad press, and that is to establish a foreign subsidiary in Indonesia using a different name. Then your foreign subsidiary sells you the manufactured goods, and the blame fall son the subsidiary. Believe it or not, that simple solution is used by most corporations including clothing manufacturers, electronics, toys, etc.

If you analyze this from an ethical point of view, the alternative is much simpler. Producing in Indonesia (or India, or Burma, or Pakistan, or Vietnam, etc.) and paying a $100 salary will allow a family to live a very decent life and probably even prosper. They will have a much better lifestyle than the rest of their neighborhood. Each Indonesian worker represents one less poor family in Indonesia. On the other hand, American families will probably get hurt, but it is also much easier for an American worker to get another job that pays a normal wage (in US standards) and allows them to live well.

6 0
3 years ago
Your parents put $300 into an account paying 11 percent interest for you when you were ten. Ten years later they tell you that y
Flauer [41]

Answer:

The balance in the account = $851.8

Explanation:

The future value of a lump sum is the amount expected at a future date when a sum of money is invested today at a particular rate of interest for certain number of years

.

This implies compounding the initial amount invested ($300) at the given interest rate(11%) for 10 years.This will be done as follows:

<em />

FV = PV × (1+r)^(n)

FV-Future value

r- rate of return per period

n- Number of period

PV - 300

r-11%

DATA

FV- ?

PV - 300

n- 10

FV= 300 × 1.11^10 = 851.83

The balance in the account = $851.8

3 0
3 years ago
Department G had 3,600 units 25% completed at the beginning of the period, 11,000 units were completed during the period; 3,000
dlinn [17]

Answer:

Total Cost of Work in Process

$57,854

Total cost of the units

d. $120,060

Total cost of beginning inventory

c. $62,206

Explanation:

Department G has 3,600 units which were 25% completed. The units completed during the period are 11,000.

3,600 * 25% = 900

Units completed 11,000

total units 11,900

Cost per unit is $10.08.

Total cost of units completed = 11,900 * 10.08 = $120,060.

4 0
3 years ago
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MrRa [10]

Answer:

increase their savings

Explanation:

Saving is the action of putting aside a portion of income in a safe place instead of spending.  It is a technique that firms and individuals use to achieve their financial objectives. Consistent saving for a duration of time helps accumulates a substantial amount of money that can be used to actualize financial objectives.

While savings is not the financial objective, it is a means to achieve the actual goal. For Example, if one goal is to own a home or a car, they start saving for the down-payment. Saving helps achieve their long term goals.

7 0
3 years ago
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