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lidiya [134]
2 years ago
6

A factory produces product A according to the production function QA = 100XA, where XA denotes the amount of input and QA is the

quantity produced. It also produces product B according to the production function QB = 200XB - XB2, where XB denotes the amount of input and QB is the quantity produced. The total available amount of input X is 100 units. The firm’s profit-maximizing allocation of input X is: Group of answer choices XA = 60 and XB = 40. XA = 50 and XB = 50. XA = 0 and XB = 100. XA = 100 and XB = 0. XA = 30 and XB = 70.
Business
1 answer:
Ostrovityanka [42]2 years ago
5 0

Answer:

Option (B) is correct.

Explanation:

XA + XB = 100

QA = 100XA

QB = 200XB - XB^2

Use the fact that,

XA = 100 - XB

Now total production is Q = QA + QB

Q = 100XA + 200XB - XB^2

Q = 100 × (100 - XB) + 200XB - XB^2

Q = 10,000 + 100XB - XB^2

Output is maximum when Q'(XB) = 0

100 = 2XB = 0

XB = 50

XA = 50

Therefore, the firm’s profit-maximizing allocation of input X is 50 units of XA and 50 units of XB.

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Rahm's credit card issuer calculates interest based on the outstanding
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Adjusted balance method.

Explanation:

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A magazine publisher collects one year in advance for subscription revenue. In the year of providing the magazines to customers,
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The correct answer is letter "B": A decrease in a deferred tax asset.

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3 years ago
Today is your 20th birthday, and your parents just gave you $5,000 that you plan to use to open a stock brokerage account. You p
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Answer:

You anticipate that you will have $432,522 in the account on your 65th birthday, following your final contribution.

Explanation:

To calculate this, we use the formula for calculating the future value (FV) and FV of ordinary annuity as appropriate as given below:

FVd = D * (1 + r)^n ......................................................................... (1)

FVo = P * {[(1 + r)^n - 1] ÷ r} ...................... (2)

Where,

FVd = Future value of initial deposit or balance amount as the case may be = ?

FVo = FV of ordinary annuity starting from a particular year = ?

D = Initial deposit = $5,000

P = Annual deposit =s $500

r = Average annual return = 12%, or 0.12

n = number years = to be determined as necessary

a) FV in five years from now

n = 5 for FVd

n = 4 for FVo

Substituting the values into equations (1) and (2), we have:

FVd = $5,000 * (1 + 0.12)^5 = $8,812

FVo = $500 * {[(1 + 0.12)^4 - 1] ÷ 0.12} = $2,390

FV5 = Total FV five years from now = $8,812 + $2,390 = $11,201

FVB5 = Balance after $5,000 withdrawal  in year 5 = $11,201 - $5,000 = $6,201.

b) FV in 10 years from now

n = 10 - 5 = 5 for both FVd and FVo

Using equations (1) and (2), we have:

FV of FVB5 = $6,201 * (1 + 0.12)^5 = $10,928

FVo = $500 * {[(1 + 0.12)^5 - 1] ÷ 0.12} = $3,176

FV10 = Total FV 10 years from now = $10,928 + $3,176 = $14,104

FVB10 = Balance after $10,000 withdrawal  in year 10 = $14,104 - $10,000 = $4,104

c) FV in 45 years from now

n = 45 - 10 = 35 for both FVd and FVo

Using equations (1) and (2), we have:

FV of FVB10 = $4,104 * (1 + 0.12)^35 = $216,690

FVo = $500 * {[(1 + 0.12)^35 - 1] ÷ 0.12} = $215,832

FV45 = Total FV 45 years from now = $216,690 + $215,832 = $432,522

Conclusion

Therefore, you anticipate that you will have $432,522 in the account on your 65th birthday, following your final contribution.

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