The following units of an inventory item were available for sale during the year. Beginning inventory 10 units at $55 First purc
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Answer:
The answer is $86,167.57 (to 2 decimal places)
Explanation:
In this question, we are to calculate the present value of a certain amount that is compounded semiannually, and after 10 years, yields a future value of $200,000. To calculate this, we will use the formula for calculating present value as follows:
PV = FV ÷
where:
PV = present value = ???
FV = future value = $200,000
r = interest rate in decimal = 8.6% = 0.086
n = compounding period pr year = semiannually = 2
t = time of compounding in years = 10
Therefore,
PV = 200,000 ÷
PV = 200,000 ÷ = $86,167.57
Answer:
The computations are shown below:
Explanation:
a. The computation of the economic order quantity is shown below:
= 229 units
The carrying cost is come from
= $2.40 × 20%
b. Time between placement of orders is
= Economic order quantity ÷Annual demand
= 229 ÷ 280
= 0.8179 years
So,
= 0.8179 × 365 days
= 298.53 days
We assume 365 days in a year
c. The average annual cost of ordering cost and carrying cost equals to
= Holding cost + ordering cost
= (Economic order quantity ÷ 2 × Holding cost) + (Annual demand ÷ Economic order quantity × ordering cost)
= (229 units ÷ 2 × $0.48) + (280 ÷ 229 units × $45)
= $54.96 + $55.02
= $109.98
d) Now the reorder level is
= Demand × lead time + safety stock
where, Demand equal to
= Expected demand ÷ total number of weeks in a year
= 280 pounds ÷ 52 weeks
= 5.38461
So, the reorder point would be
= 5.38461 × 3 + $0
= 16.15 pounds