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Schach [20]
3 years ago
7

Cooke Corporation reports that at an activity level of 7,000 units, the total variable cost is $590,730, and the total fixed cos

t is $372,750. What would be the total cost, both fixed and variable, at an activity level of 7,100 units? Assume that this level of activity is within the relevant range.
Business
1 answer:
Hoochie [10]3 years ago
8 0

Answer:

$971,919

Explanation:

Given:

For activity level = 7,000 units

Total variable cost = $590,730

Total fixed cost = $372,750

Now,

Variable cost per unit = \frac{\textup{Total variable cost }}{\textup{Activity level}}

or

Variable cost per unit = \frac{\textup{590,730}}{\textup{7,000}}

or

Variable cost per unit = $84.39

The fixed cost remains the same irrespective of the number of units produced

Therefore,

The total cost for activity level of 7,100 unit

= Total variable cost for 7,100 units + Total fixed cost

= Variable cost per unit  × Number of units + Total fixed cost

= ( $84.39 × 7,100 ) + $372,750

= $599,169 + $372,750

= $971,919

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Answer:

NPV = $39,230

Payback period = 3.64 years

Explanation:

The net present value (NPV) = (net annual cash flow x interest factor) - investment

NPV = ($110,000 x 3.993) - $400,000 = $439,230 - $400,000 = $39,230

The payback period = investment / net annual cash flow = $400,000 / $110,000 = 3.64 years or 3 years, 7 months and 19 days

You can also calculate the PV of each annual cash flow which will give you a more precise result, but the variation is minimal:

PV = ($110,000 / 1.08) + ($110,000 / 1.08²) + ($110,000 / 1.08³) + ($110,000 / 1.08⁴) + ($110,000 / 1.08⁵) = $439,198

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You just received a $5,000 gift from your grandmother which you have decided to save and then gift to your grandchildren 50 year
svetlana [45]

Answer: Difference = $185,948.5 - $147,285. = $38,663.5

Explanation:

To calculate the future value,  you have to use the formula

fv = PA (1 + r/100)ⁿ

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FV = future value

PA = Present Amount

r = rate

n = number of years

calculating for the future value if you earn a percent of 7.5 =

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fv = 5,000 ( 1.075)⁵⁰

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calculating the Fv when the rate is 7%

fv = 5,000 (1 + 0.070) ⁵⁰

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