Suad Alwan, the purchasing agent for Dubai Airlines, is interested in determining what he can expect to pay for airplane number
4 if the third plane took 20,000 hours to produce. What would Alwan expect to pay for plane number 5? Number 6? Use an 85% learning curve and a $40-per-hour labor charge.
1 answer:
Answer:
Alwan expect to pay for airplane 4= $747818.48
Explanation:
given data
expect to pay airplane = 4
3rd plane produce = 20,000 hours
learning curve = 85%
solution
As here logarithmic approach allow get labor for any unit, TN, as
TN = T1(Nb)
here TN is time for the Nth unit and T1 is hours to produce the first unit
so
b = (log of the learning rate) ÷ (log 2) = slope of the learning curve
so
T3 = T1(3log(0.85)÷log2)
so we get
So Alwan expect to pay for airplane 4 = $747818.48
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Answer:
Regina: Final amount=$62,769
Will Smith: Present value: $213,216
Explanation:
Regina:
Compound quarterly means that each quarter of the year ( every three months) she will receive a 10% interest rate of her deposit. To convert this periodic rate to an annual rate( because the problem ask you about years) you use this formula :
Annual rate= ((1+Periodic rate)^(# periods))-1
In this case the number of periods means the number of quarters a year have, which is 4
Annual rate= ((1+10%)^(4))-1= 46.41%
To find the final amount Regina has after 3 year we use this formula:
Final Capital (FC)= Initial Capital (IC)*[(1+interest(i))]^(number of periods(n))
FC= $20,000*[(1+46.41%)^3]
FC=$62,769 I attached an excel figure which shows a more detailed data.
Will Smith
Semiannually means that every 6 months Will Smith will receive a 12% interest rate of the initial investment. To convert this periodic rate to an annual rate you use the same above formula:
Annual rate= ((1+Periodic rate)^(# periods))-1
In each year Will will receive twice the interest rate over the initial investment
Annual rate = ((1+12%)^(2))-1
Annual rate= 25.44%
The present value of $80,000 from now to 5 years is calculated using the formula attached, but I used Excel. First you have to copy all the cash flows of the 5 years. Then, you set the interest rate that in this case is the one that you found above( 25.44%). Finally you use the financial formula "NPV" in this way:
"=NPV(25.44%;C4:C8)" I used C4:C8 because in those excel cells i copied the cash flows.
I got that the present value of this amount is $213,216
