$8,400
The calculation for the annual financial benefit (loss) for the organization is detailed below:
Particulars Make Buy
Direct material $53,600 (8,000 units × $6.70)
Direct labor $64,800 (8,000 units × $8.10)
Variable manufacturing overhead $8,800 (8,000 units × $1.10)
Supervisor's salary $16,000 (8,000 units × $2)
Fixed manufacturing overhead $2,000
Opportunity cost $16,000
Purchase cost $169,600 (8000 × $21.20)
Total relevant cost $161,200 $169,600
Financial (loss) is = $161,200 - $169,600 = -$8,400
We simply compared the make and buy costs and found that purchasing incurs a higher cost than manufacturing, leading to an excess expense of $8,400 if the external supplier is chosen.
Answer:
a) YTM = 9.8%
b) realized compound yield = 9.9%
Explanation:
a) PMT is 80
par value FV = 1000
coupon rate = 8%
current price PV = 953.1
years to maturity n = 3
Yield to maturity (YTM) is calculated as
=
= 9.8%
b) r2 = 10% = 100%+10% = 1.1
r3 = 12% = 100%+12% = 1.12
To find the realized compound yield, we first need the future value (FV) of the principal and reinvested coupons.
FV = ($80 * 1.10 * 1.12) + ($80 * 1.12) + $1080 = $1268.16
Let a be the rate at which the future value equals $1268.16.
953.1(1+y)³ = $1268.16
(1+y)³ = 1.33
1+y = 1.099
y = 0.099 = 9.9%
This pertains to permutations, and since we are fixing the first and last joke's positions based on the information provided, there are 10 remaining jokes to arrange. Any unique ordering of these 10 jokes will yield a different configuration, thereby giving us a total of 10! arrangements, which can be calculated as 10! = 10*9*8*7*6*5*4*3*2*1 = 3628800.
Thus, there are 3628800 different sequences to present the old joke first and the new joke at the end.