Given a 7 percent interest rate, compute the present value of payments made in years 1, 2, 3, and 4 of $1,350, $1,550, $1,550, a
igor_vitrenko [27]
Answer:
The present value of cash flows is $ 5,292.13
Explanation:
The present value is today's equivalence of the company's future cash flow discounted using the 7% interest rate as a discount rate.
Formula for pv of a cash flow=cash flow/(1+r)^n
r is the 7% interest rate
n is the relevant year each cash flow relates to
PV=$1,350/(1+7%)^1+$1550/(1+7%)^2+$1550/(1+7%)^3+$1850/(1+7%)^4=
$ 5,292.13
Answer:
a. $13
b. $20,625 Unfavorable
Explanation:
a. Computation of overhead volume variance is shown below:-
Variable overhead rate = Variable overhead cost ÷ Expected standard hours
= $275,000 ÷ 25,000
= 11 direct labor hour
Fixed overhead rate = Productive capacity ÷ Expected standard hours
= $50,000 ÷ 25,000
= $2 direct labor hour
Total overheard rate = Variable overhead rate + Fixed overhead rate
= $11 + $2
= $13
b. The computation of overhead controllable variance is shown below:-
Variable overhead cost = Overhead rate × Standard hours
= $11 × 21,875
= $240,625
Fixed overhead cost = Overhead rate × Standard hours
= $2 × 21,875
= $43,750
Total overhead cost = $13 × 21,875
= $284,375
Actual result = $305,000
Variance = Actual result - overhead cost applied
= $305,000 - $284,375
= $20,625 Unfavorable
Working note:-
Standard direct labor hours = Actual units ÷ Standard hours
= 35,000 × 1.6
= $21,875
Standard units per hour = (Standard capacity × Expected production) ÷ Standard hours
= (50,000 units × 80%) ÷ 25,000 hours
= 1.6 units per hour
