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Sonbull [250]
3 years ago
7

​Let's assume that a carpenter borrowed ​$2 comma 000 to be paid off in a year to finance a machine that would make him work fas

ter. As a​ result, he is able to take on more projects and collect ​$400 more earnings in the first​ year, after paying off the principal of ​$2 comma 000. ​However, there is a 15​% rental fee​ (interest) on his loan that he also has to pay off. The carpenter earned an extra ​$ nothing in the first year.
Business
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

The carpenter earned an extra $100.

Explanation:

Since this problem deals with a one-year loan with an yearly interest rate, it can be treated as a simple interest problem. For simple interests, the final value (Vf) can be found by multiplying the initial value (Vi) by one plus the interest rate (i) as shown below:

V_{f}= V_{i}*(1+i)\\V_{f}=2,000*(1+0,15)\\V_{f}=2,300

To find how much extra money the carpenter made in the first year, one should subtract the final value of loan from the $2,000 dollars down payment plus the extra $400 he collected for the year

Earnings = 2,000+400-2,300 = 100.

Therefore, the carpenter earned an extra $100.

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Answer:

The correct answer is:

$6,998.64 favorable (b)

Explanation:

The direct labor rate/price variance is the difference between the standard cost of production and the actual cost incurred in the production process. If the actual rate of labor is less than the standard labor rate, it is said to be favorable, because lesser time is used in the production process than estimated. The reverse is the case for unfavorable direct labor rate variance.

The formula is given as:

Direct Labor Rate Variance = (SR - AR) × AH

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SR = standard rate = $12.88 per hour

AR = actual rate = $12.00 per hour

AH = actual direct labor hours = 7,953 hours

∴ Direct labor rate variance = (12.88 - 12.00) × 7,953 = $6,998.64 favorable

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