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Problem 1 (Textbook Reference: P8-1)- Compute materials variances A product has

ID: 2405082 • Letter: P

Question

Problem 1 (Textbook Reference: P8-1)- Compute materials variances A product has a standard materials usage and of materials were purchased at $7.30 materials. cost of 4 pounds per unit at $7.00 per pound. During the month, 2,400 pounds per pound. Production for the month totaled 550 units requiring 2,100 pounds of Required: (circle F or U to indicate whether the variance is favorable or unfavorable) 1. Compute the materials price variance: 2. Compute the materials quantity usage variance: 3. Compute the total materials variance: 120 o F or U F or U F or U ***You must show your work to receive credit*** SR Fer achual procuchen 55P ×? 2200

Explanation / Answer

Problem 1:

Standard

Price per

Pound

(A)

Standard

Material

Quantity

For Actual

Output(B)

Standard

Cost for

Actual

Output

C=(A)*(B)

Actual

Price

Per

Pound

(D)

Actual

Material

Quantity

Used

(E)

Actual

Cost

F=D*E

Product

$ 7/pound

2200 pounds

(4pounds*550 units)

$ 15,400

$7.30/pound

2100 pounds

$ 15,330

=($ 7-$ 7.30)* 2100 pounds=$ 630 U

2) Material Quantity Usage Variance=( Standard usage of materials for Actual Production-Actual Quantity of Materials used)* Standard price of the material

=( 2200 pounds-2100 pounds)*$ 7/pound= $ 700 F

3) Total Material Variance= Standard Cost-Actual Cost

= Standard Material Cost of the Actual Production Volume- Actual Material Cost

=$ 15,400- $ 15,330

=$ 70 F

Problem 2:

Standard

Rate /hour

Standard

Hours for actual

Output

Standard

Labour

Cost

Actual

Labour

Rate/hour

Actual

Hours

Actual

Labour

Cost

Product

$ 6/hour

2,00,000 hours

(1hour*2,00,000

Boxes)

$ 12,00,000

$ 5.5/hour

2,08,000

hours

$ 11,44,000

=$6*208000-$ 11,44,000

=$ 104000 F

2.) Labour Efficiency Variance=Standard Cost of the standard time taken to produce the actual output-Standard cost of the Actual time taken)

=$ 12,00,000-$6*208000

=$ 48,000U

3.)Total labour variance=Standard labour cost-Actual labour cost

=$ 12,00,000-$11,44,000

=$ 56,000 F

Problem 3:

=(Standard price-Actual price)*Actual quantity

=( $8-$8.40) *24,000 pounds

=$ 9,600 U

2.) Material usage variance=Standard material cost of the standard quantity of materials used for the actual production-Standard cost of the actual quantity of material used

=$8( 0.25 pounds* 98,400 units-24,000 pounds)= $ 4,800 F

3.) Total material variance=Standard cost –actual cost

0.25 *98400*$8-24,000* $8.40

=$ 4,800 U

4.) Labour Rate Variance=Standard cost of the actual time-Actual labour cost

=$7.60/hour*50,000 hours-$ 3,90,000

=10,000 U

5.) Labour Efficiency Variance=Standard cost of the standard time for the actual production-Standard cost of actual time

=$ 7.60* 0.5 hours*98,400 units-$7.60/hour*50,000 hours

=$ 3,73,920-$3,80,000= $ 6080 U

6.)Total labour variance=Standard cost- Actual cost

=$ 3.80* 98,400 units-$ 3,90,000

=$ 16,080 U

Standard

Price per

Pound

(A)

Standard

Material

Quantity

For Actual

Output(B)

Standard

Cost for

Actual

Output

C=(A)*(B)

Actual

Price

Per

Pound

(D)

Actual

Material

Quantity

Used

(E)

Actual

Cost

F=D*E

Product

$ 7/pound

2200 pounds

(4pounds*550 units)

$ 15,400

$7.30/pound

2100 pounds

$ 15,330

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