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Cloud [144]
3 years ago
5

Determine the single plantwide factory overhead rate, using each of the following allocation bases: (a) direct labor hours and (

b) machine hours. Direct labor hour overhead rate $ per direct labor hour Machine hour overhead rate $ per machine hour 2. Determine the product factory overhead costs, using (a) the direct labor hour plantwide factory overhead rate and (b) the machine hour plantwide factory overhead rate. Automobile Bumpers Valve Covers Wheels Direct labor hours $ $ $ Machine hours $ $ $

Business
1 answer:
Fofino [41]3 years ago
7 0

Answer and Explanation:

1.

The direct labor overhead rate using the direct labor hours is shown below:-

Direct labor overhead rate = Total overheads ÷ Direct labor hours

= $220,800 ÷ 1,725

= $128

b. The machine hour overhead rate using the machine hours is

= Total overhead ÷ Machine hours

= $220,800 ÷ 4,600

= $48

2.

The factory overhead costs using direct labor hour is

Particulars             Automobile       Valve        Wheels        Total

                                bumpers           covers

Direct labor            

hours                        730                 480                515

Overhead rate         $128               $128              $128

Total                        $ 93,440        $61,440        $65,920     $220,800

For determining the total overhead we simply multiply the direct labor hours with overhead rate.

The factory overhead costs using machine hour is

Particulars             Automobile       Valve        Wheels        Total

                                bumpers           covers

Machine hours          1,970               1,270         1,360

Overhead rate            $48                  $48              $48

Total overhead        $94,560         $60,960    $65,280      $220,800

For determining the total overhead we simply multiply the machine hours with overhead rate.

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Toy Town is considering a new toy that will cost $49,100 in startup costs. The toy is expected to produce cash flows of $47,500
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NPV with a 14.9% discount rate: 6,329.06

The toy should be produced as the NPV is positive.

IRR = 26.65%

Explanation:

First we calculate for the NPV using the given discount rate of 14.9%

We will calculate the present value of each year cash inflow:

\frac{inflow}{(1 + rate)^{time} } = PV  

Year 1 cash inflow: 47,500.00

time   1.00

rate  0.149

\frac{47500}{(1 + 0.149)^{1} } = PV  

PV   41,340.30

Year 2 cash inflow:  18,600.00

time   2.00

rate  0.149

\frac{18600}{(1 + 0.149)^{2} } = PV  

PV   14,088.76

Then, we add them and subtract the investment to get NPV

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The toy should be produced as the NPV is positive.

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That is the rate at which NPV equals zero we can solve for this using the quadratic equation as there are only two cash flow:

Year 1 will discount at (1+IRR)

Year 2 will be discount at (1+IRR )^2

So we can express and recreate the quadratic formula:

18,600 X^2 + 47,500 X - 49,500 = 0

A = 18,600

B = 47,500

C = -49,100

x_1 = \frac{-b+\sqrt{b^{2} -4ac}}{2a}\\x_2 = \frac{-b -\sqrt{b^{2} -4ac}}{2a}

We can solve and get:

x1 =  0.78957

x2 = -3.3433

We take the positive value.

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This will be the IRR for the project.

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