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Sonja [21]
3 years ago
7

Finished goods inventory is $182,000. If overhead applied to these goods is $75,000, and the overhead rate is 120% of direct lab

or, how much direct materials cost
was incurred in producing the inventory? (Round your intermediate calculations and final answer to nearest whole dollar.)
Business
1 answer:
Sedaia [141]3 years ago
8 0

Answer:Direct Material cost To the nearest whole dollar becomes $45,000

Explanation:

Given that Total cost in the finished goods inventory = $182,000

Total cost = Direct Material cost  + Direct Labor cost + Overhead rate cost

But Overhead rate cost = 120% of labor cost

Since Over head cost = $75,000

Direct labor cost = $75,000/ 120%=$62,500

Total cost = Direct Material cost  + Direct Labor cost + Overhead rate cost

$182,000 = Direct Material cost+ $62,500+ $75,000

Direct Material cost = $182,000 - ( 62,500+75,000)

Direct Material cost = $182,000 -$137,500

Direct Material cost = $44,500

To the nearest whole dollar becomes $45,000

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Answer:

The correct option is b. $6,304.11.

Explanation:

This can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where,

FV = Future value or the amount to have on her 60th birthday = $1,000,000

M = Annual payment or amount she needs to invest each year = ?

r = Interest rate = 8%, or 0.08

n = number of years beginning with her 27th birthday and ending on her 60th birthday = 60 - 27 + 1 = 34

Substituting the values into equation (1) and solve for M, we have:

$1,000,000 = M * (((1 + 0,08)^34 - 1) / 0.08)

$1,000,000 = M * 158.626670073155

M = $1,000,000 / 158.626670073155

M = $6,304.11014452251

Rounding to 2 decimal places, we have:

M = $6,304.11

This implies Katie needs to invest $6,304.11 each year to have exactly $1,000,000 by her 60th birthday.

Therefore, the correct option is b. $6,304.11.

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