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garri49 [273]
3 years ago
14

The following labor standards have been established for a particular product:Standard labor hours per unit of output 4.3 hoursSt

andard labor rate $ 20.10 per hourThe following data pertain to operations concerning the product for the last month:Actual hours worked 6,900 hoursActual total labor cost $ 139,380Actual output 1,500 unitsRequired:a. What is the labor rate variance for the month?b. What is the labor efficiency variance for the month?
Business
1 answer:
Nat2105 [25]3 years ago
7 0

Answer: 1. $690 (favorable)

2.  $9045 (favorable)

Explanation: These can be computed as follows :-

Labor rate variance = Actual labor cost - (standard rate * actual hours)

                                  =  $139,380 - ( $20.1 * 6900 hours )

                                  = $690 (favorable)

.

Labor efficiency variance = ( Actual hours - standard hours ) * (standard rate )

                                          = [6900 hours - (1500 units * 4.3 hours) ] * ($20.1)

                                          = $9045 (favorable)

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Firms HL and LL are identical except for their leverage ratios and the interest rates they pay on debt. Each has $25 million in
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Answer:

A. ROIC for firm LL 12%

ROIC for firm HL 12%

B. ROE for firm LL 13.5%

ROE for firm HL 18.6%

C. New ROE for firm LL 16.5%

Explanation:

A. Calculation to determine the return on invested capital (ROIC) for each firm

Using this formula

ROIC=EBIT(1-T)/Total Invested Capital

Let plug in the formula

ROIC=$5 million(1-.40)/$25 million

ROIC=$5 million*.60/$25 million

ROIC=$3 million/$25 million

ROIC=0.12*100

ROIC=12% for both firms

Therefore the return on invested capital (ROIC) for each firm is:

ROIC for firm LL is 12%

ROIC for firm HL is 12%

B. Calculation to determine the rate of return on equity (ROE) for each firm.

Calculation for ROE for firm LL

First step is to calculate the Debt

Debt=$25 million*20%

Debt=$5 million

Second step is to calculate the Debt Interest

Debt Interest=$5 million*10%

Debt Interest=$500,000

Third step is to calculate the EBIT of firm LL

EBIT of firm LL=$5 million- $500,000

EBIT of firm LL=$4,500,000

Fourth step is to calculate Tax owed

Tax owed =$4,500,000*40%

Tax owed =$1,800,000

Fifth step is to calculate the Net income of firm LL

Net income of firm LL=$4,500,000-$1,800,000

Net income of firm LL=$2,700,000

Sixth step is to calculate the Equity for firm LL

Equity for firm LL=$25million-$5 million

Equity for firm LL=$20 million

Now let calculate the ROE using this formula

ROE=Net income /Equity

Let plug in the formula

ROE=$2,700,000/$20 million*100

ROE=13.5%

Calculation for ROE for firm HL

First step is to calculate the Debt

Debt=$25 million*55%

Debt=$13,750,000

Second step is to calculate the EBIT of firm HL

EBIT of firm HL=$5 million-[(55%*$25 million)*11%]

EBIT of firm HL=$5 million-($13,750,000*11%)

EBIT of firm HL=$5 million-$1,512,500

EBIT of firm HL=$3,487,500

Third step is to calculate the Tax owed

Tax owed =$3,487,500*40%

Tax owed =$1,395,000

Fourth step is to calculate the Net income of firm HL

Net income of firm HL=$3,487,500-$1,395,000

Net income of firm HL=$2,092,500

Fifth step is to calculate the Equity for firm HL

Equity for firm HL=$25million- $13,750,000

Equity for firm HL=$11,250,000

Now let calculate the ROE using this formula

ROE=Net income /Equity

ROE=$2,092,500/$11,250,000*100

ROE=18.6%

Therefore the rate of return on equity (ROE) for each firm is:

ROE for firm LL is 13.5%

ROE for firm HL is 18.6%

C. Calculation to determine the new ROE for LL

First step is to calculate the debt

Debt=$25 million*60%

Debt=$15 million

Second step is to calculate the Debt Interest

Debt Interest=$15 million*15%

Debt Interest=$2,250,000

Third step is to calculate the EBIT of firm LL

EBIT of firm LL=$5 million- $2,250,000

EBIT of firm LL=$2,750,000

Fourth step is to calculate the Tax owed

Tax owed =$2,750,000*40%

Tax owed =$1,100,000

Fifth step is to calculate the Net income of firm LL

Net income of firm LL=$2,750,000-$1,100,000

Net income of firm LL=$1,650,000

Sixth step is to calculate the Equity for firm LL

Equity for firm LL=$25million-$15 million

Equity for firm LL=$10 million

Now let calculate the New ROE using this formula

ROE=Net income /Equity

Let Plug in the formula

ROE=$1,650,000/$10 million*100

ROE=16.5%

Therefore the new ROE for LL is 16.5%

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