Answer:
The answer is $138.92
Explanation:
Solution
Given that:
Daryl today's Age = 30
The Retirement Age = 64
The Total Monthly Deposits = ( 64 - 30 ) * 12 = 408
Now,
In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%
Then,
The Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%
So,
The Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )
= $100,000 * 7.4864
= $748,642.20
The Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )
= $1,000,000 * 0.050535
= $50,534.52
Now
The Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52
= $799,176.70
Now
The monthly deposit be X
Which is,
= X * FVAF ( 408 , 1% ) = $799,176.70
= X * 5752.85 = $799,176.70
X = $138.918
Therefore, Monthly Deposit for his retirement plan is = $138.92
Answer:
PART A
The saying means that it should remove the economic incentives when it has reached its peak in order to prevent it from impacting negatively on the economy.
PART B
(1) It can lead to Inflation.
(2) it can lead to reduced Productivity within the economy.
Explanation:Central banks all over the world are known to put incentives and Stimulus factors in place in order to help improve, resuscitate or sustain the economy in terms of crisis, but the impacts of the Incentives or Stimulus programs of the central banks can lead to certain negative consequences if not effectively monitored or removed when necessary.
SOME OF THE NEGATIVE CONSEQUENCES WHICH CAN ARISE IF THE INCENTIVES OR STIMULUS PROGRAMS USED TO SUSTAIN THE ECONOMY ARE NIT REMOVED EXAMPLES INCLUDE IT CAN LEAD TO INFLATION,IT CAN LEAD TO REDUCTION IN THE OVERALL PRODUCTIVITY WITHIN THE ECONOMY ETC.
Answer:
Objective function:
Maximize Z: 30P1 + 25P2 + 28P3
Subject to: 2.00P1 + 1.50P2 + 3.00P3 ≤ 450 (Department A constraint)
2.50P1 + 2.00P2 + P3 ≤ 350 (Department B constraint)
0.25P1 + 0.25P2 + 0.25P3 ≤ 50 (Department C constraint)
P1, P2, P3 ≥ 0 (Non-negativity)
Explanation:
The objective function is formulated from the contribution margin of the three products. For instance, the contribution of Product 1 is $30, the contribution of Product 2 is $25 and the contribution of Product 3 is $28. Thus, the objective function will be 30P1 + 25P2 + 28P3.
The constraints were obtained from the departmental labour hours requirements for each product. For instance, Product 1 requires 2 hours in department A, Product 2 requires 1.50 hours in department A and Product 3 requires 3 hours in Department A. Thus, the constraint will be 2.00P1 + 1.50P2 + 3.00P3.
It depends on the contract. But it's mostly what seller do ...
Answer and Explanation:
The computation is shown below:
Total material variance = Actual quantity × Actual rate - Standard quantity × Standard rate
= 29000 × $6.3 - (16,000 units × 2) × $6
= $182,700 - $192,000
= - $9,300 favorable
Material price variance = Actual quantity × Actual price - Actual quantity × Standard price
= (29,000 units × $6.3) - (29,000 units × $6)
= $182,700 - $174,000
= $8,700 unfavorable
Material quantity variance = Standard quantity × Actual quantity - Standard rate × Standard quantity
= $6 × 29,000 units - $6 × (16,000 units × 2)
= $174,000 - $192,000
= -$18,000 favorable
The favorable is when the standard cost is more than the actual one while the unfavorable is when the standard cost is less than the actual one