If a specific subsidy (negative tax) of s is given to only one competitive firm, how should that firm change its output level
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Answer:
(a) The estimated cumulative average material cost per square foot for the first five homes is $24.47.
(b) The estimated material cost per square foot for the last (16th) home is $19.34.
Explanation:
(a) If the cost its reduced by 8% every time the number of homes is doubled, we can express the cost of the first five houses as
C1 = C
C2 = C*(1-0.08)=0.92*C
C3 = C2 = 0.92*C
C4 = C2*(1-0.08)=0.92*0.92*C = 0.8464*C
C5 = C4 = 0.8464*C
Then, the average cost of the first five houses is
The estimated cumulative average material cost per square foot for the first five homes is $24.47.
For the 16th home, the number we can estimate that the number of homes double 4 times: at house number 2,4, 8 and 16.
Other way to calculate that is
We can write the cost of the 16th house as
The estimated material cost per square foot for the last (16th) home is $19.34.
Answer:
Nominal interest rate = 12.23%
Explanation:
Given - Aerotron Electronics has just bought a used delivery truck for
$15,000. The small business paid $1,000 down and financed the
rest, with the agreement to pay nothing for the entire first year and
then to pay $526.83 at the end of each month over years 2, 3, and
4 (first payment is in 13th month).
To find - a. What nominal interest rate is Aerotron paying on the loan.
Proof -
As given ,
Price - $15,000
Down Payment - $1,000
⇒Loan Payment = $15,000 - $1,000
As given,
He will not pay for the entire first year. After that he will pay $526.83 for next 3 years.
Now,
Interest rate for 1 month = r %
So,
Loan after 1 year = 14,000( 1 + r)¹²
And
Annuity factor =
and t = 3 years = 36 months
Now,
As we know,
Monthly loan payment =
⇒$526.83 = 14,000( 1 + r)¹² /
By solving we get
r = 1.019%
Now,
Nominal interest rate = 1.019%×12 = 12.23%