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aalyn [17]
3 years ago
10

Blue Ridge Bicycles uses a standard part in the manufacture of several of its bikes. The cost of producing 43,000 parts is $140,

000, which includes fixed costs of $68,000 and variable costs of $72,000. The company can buy the part from an outside supplier for $3.80 per unit, and avoid 30% of the fixed costs. If Blue Ridge Bicycles makes the part, how much will its operating income be?
Business
1 answer:
kifflom [539]3 years ago
8 0

Answer:

$71,000

Explanation:

The computation of operating income is shown below:-

Total costs if company bought = Cost of production × Outside supplier per unit) + (Fixed cost × Remaining percentage)

= (43,000 × $3.80) + ($68,000 × (100% - 30%))

= (43,000 × $3.80) + ($68,000 × 70%)

= $163,400 + $47,600

= $211,000

Loss in Income if part is bought = Total costs if company bought - Total costs originally

= $211,000 - $140,000

= $71,000

Therefore, Making profit will be more by $71,000 and for computing the Loss in Income if part is bought we simply applied the above formula.

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Answer:

The difference in the present value is $988.32.

Explanation:

The difference in the present value can be calculated using the following 3 steps:

Step 1: Calculation of the present value if you receive these payments at the beginning of each year

This can be calculated using the formula for calculating the present value (PV) of annuity due given as follows:

PVA = P * ((1 - (1 / (1 + r))^n) / r) * (1 + r) .................................. (1)

Where;

PVA = Present value if you receive these payments at the beginning of each year = ?

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r = interest rate = 10%, or 0.10

n = number of years = 24

Substitute the values into equation (1), we have:

PVA = $11,100 * ((1 - (1 / (1 + 0.10))^24) / 0.10) * (1 + 0.10)

PVA = $10,871.54

Step 2: Calculation of the present value if you receive these payments at the end of each year

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PVO = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)

Where:

PVO = Present value if you receive these payments at the end of each year = ?

Other values are as defined in Step 1 above.

Substitute the values into equation (2), we have:

PVO = $11,100 * ((1 - (1 / (1 + 0.10))^24) / 0.10)

PVO = $9,883.22

Step 3: Calculation of the difference in the present value

This can be calculated as follows:

Difference in the present value = PVA - PVO = $10,871.54 - $9,883.22 = $988.32

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