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lara31 [8.8K]
3 years ago
14

Riva crafts and sells hard cider as a part-time job. She can bottle and sell four cases in a week. She is considering hiring her

friend Atul to help her. Together, Riva and Atul can bottle and sell seven cases per week. What is Atul’s marginal product?
Business
1 answer:
Dovator [93]3 years ago
8 0

Answer:

3 cases

Explanation:

Marginal product refers to change in the total output when an additional input is employed. For example, output is 5 units when 2 laborers are employed. When another unit of input i.e 3rd laborer is employed, the output rises to 9 units. In this case marginal product of the 3rd unit of labor would be 9 - 5 i.e 4 units.

In the given case, before Atul is hired, the production was 4 cases per week. After his being hired, it rose to 7 cases per week. Thus Atul's marginal product in the given case would be 7 - 4 i.e 3 cases.

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At an inflation rate of 7 percent, the purchasing power of $3 would be cut in half in 10.25 years. how long to the nearest year
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The applicable formula is;
A = P(1-r)^n

Where;
A = Final purchasing power
P = Current purchasing power
r = inflation
n = Number of years when P changes to A

Confirming the first claim:
A = 1/2P (to be confirmed)
P = $3
r = 7% = 0.07
n = 10.25 years

Using the formula;
A = 3(1-0.07)^10.25 = 3(0.475) ≈ 3(0.5) = $1.5
And therefore, A = 1/2P after 10.25 years.

Now, give;
P = $9
A = 1/4P = $9/4 = $2.25
r = 6.5% = 0.065
n = ? (nearest year).

Substituting;
2.25 = 9(1-0.065)^n
2.25/9 = (1-0.065)^n
0.25 = (1-0.065)^n
ln (0.25)= n ln(1-0.065)
-1.3863 = -0.0672n
n = (-1.3863)/(-0.0672) = 20.63 years

To nearest year;
n = 21 years

Therefore, it would take approximately 21 years fro purchasing power to reduce by 4. That is, from $9 to $2.25.
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Dahasolnce [82]

Answer:

a. $26,720

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