Dorothy Taylor has won a state lottery and will receive a payment of $93,000 every year, starting today, for the next 20 years.
If she invests the proceeds at a rate of 5.76 percent, what is the present value of the cash flows that she will receive? (Round factor values to 4 decimal places, e.g. 1.5212 and final answer to nearest whole dollar, e.g. 5275.)
2 answers:
Answer: The answer is $1,092,865.5426
To the nearest whole dollar, we have:
$1,092,866
Explanation: from the question above, we will be calculating the present value of a cashflow of $93,000 over a period of 20 years, at a rate of 5.76%.
We will be performing a discounting operation.
Refer to the attached files below to see the calculations and how we arrived at the answer above.
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Answer: (a) $197,500
(b) $ 189,500
Explanation:
Given : The marginal cost function :
To find the cost function, we need to integrate the above function with respect to x.
Now, the additional cost incurred in dollars when production is increased from 100 units to 150 units will be:-
Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500
Similarly, the additional cost incurred in dollars when production is increased from 500 units to 550 units :-
Hence, the additional cost incurred in dollars when production is increased from 500 units to 550 units = $ 189,500