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Anon25 [30]
3 years ago
13

Find the present value pv of the given investment. an investment earns 2% per year and is worth $40,000 after 8 years.

Business
1 answer:
LuckyWell [14K]3 years ago
5 0
First use the formula of the future value of an annuity ordinary to find the yearly payments
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value 40000
PMT yearly payment?
R interest rate 0.02
N time 8 years
Solve the formula for PMT
PMT=Fv÷[(1+r)^(n)-1)÷r]
PMT=40,000÷(((1+0.02)^(8)−1)
÷(0.02))
=4,660.39

Now use the formula of the present value of an annuity ordinary to find the present value
Pv=pmt [(1-(1+r)^(-n))÷r]
PV present value?
PMT yearly payments 4660.39
R interest rate 0.02
N time 8 years
Pv=4,660.39×((1−(1+0.02)^(−8))÷(0.02))
pv=34,139.60. ....answer
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This question is incomplete, the complete question is;

Martinez company's relevant range production is 7,500 units to 12,500 units. When it produces and sells 10,000 units, its average costs per unit are as follows:-

                                                                 Average cost per unit

Direct materials                                                 $7.00

Direct labor                                                        $4.50

Variable manufacturing overhead                   $1.40

Fixed manufacturing overhead                        $4.00

Fixed selling expense                                       $4.00

Fixed administrative expense                          $2.10

Sales commissions                                            $1.10

Variable administrative expense                      $0.55

If 8,000 units are produced,

a) what is the total amount of manufacturing overhead cost incurred to support this level of production

b) What is this total amount expressed on a per unit basis

Answer:

a) the total amount of manufacturing overhead cost incurred to support this level of production is $51,200

b) What is this total amount expressed on a per unit basis is $6.40

Explanation:

a)

Given that;

number of units produced is 8,000 units

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Variable manufacturing overhead cost will be units produced / Variable manufacturing overhead

so Variable manufacturing overhead cost = 8000 units × $1.40 =  $11,200

Now  Fixed manufacturing overhead cost = 10000 units × $4 = $ 40,000

Total manufacturing overhead cost is the addition of Variable manufacturing overhead cost and Fixed manufacturing overhead cost

$11,200 + $40,000 = $51,200

b)

Number of units produced = 8,000

therefore Manufacturing overhead per unit = Total manufacturing overhead cost / Number of units produced

51,200 / 8,000 = $6.40

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