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Chapter 9 Standard Costing: A Functional-Based Control Approach Required: Prepare a standard cost sheet showing the unit cost
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Answer #1

It has been given in the question that for every small stapler produced, the Company will produce two regular staplers.

Now we will calculate the total budgeted production of both the staplers by linear equation as follows:-

Suppose if the number of small staplers produced is 'x', then number of regular staplers produced is '2x'

Now, it is also given that the total budgeted labour hours is 12,000, and labour hours for producing one small stapler is 0.1 Hours and for regular staplers its 0.15 Hours. Hence we get the following equation:-

0.1x + 0.15 (2x) = 12,000

0.4x = 12,000

x = 30,000 units.

Hence the number of Small staplers produced is 30,000 units, and regular staplers is 60,000 units

1. Standard Cost Sheet

Particulars Units Produced Small Stapler Regular Stapler Total 30,000 60,000 90,000 18,000 60,000 78,000 24,000 72,000 96,000

2. Direct material Price Variance and usage variance

Direct material Price variance = (Standard Price - Actual Price) * Actual Quantity

Small Stapler - ($ 1.6 - $ 1.55 ) * 13,000 Pounds = $ 650 (Favourable)

Regular Stapler - ($ 1.6 - $ 1.55) * 43,000 Pounds = $ 2,150 (Favourable)

Direct material usage variance = (Standard quantity for actual production - Actual quantity consumed) * Standard Price

Small Stapler = [(35,000 Units * 0.375 Pounds) - 13,000 Pounds] * $ 1.60 = $ 200 (Favourable)

Regular Stapler = [(70,000 Units * 0.625 Pounds) - 43,000 Pounds] * $ 1.60 = $ 1,200 (Favourable)

3. Labour Rate and Efficiency Variance

Direct Labor Rate Variance = (Standard Rate - Actual Rate) * Actual Hours worked

Small Stapler = [$ 8 - ($ 114,700 / 14,800)] * 3,600 = $ 900 (Favorable)

Regular Stapler = [$ 8 - ($ 114,700 / 14,800)] * 11,200 = $ 2,800 (Favorable)

Direct Labor Efficiency Variance = (Standard hours for actual production - Actual hours) * Standard Rate

Small Stapler = [(35,000 Units * 0.1) - 3,600] * $ 8 = - $ 800 (Unfavorable)

Regular Stapler = [(70,000 Units * 0.15) - 11,200] * $ 8 = - $ 5,600 (Unfavorable)

4. Fixed and Variable overhead variance

Fixed Overhead variance = Budgeted overheads - Actual overheads

= $ 360,000 - $ 350,000 = $ 10,000 (Favorable)

Variable overhead variance = Budgeted overheads for actual production - Actual overheads

= {[(35,000 Units * 0.1 Hours)+(70,000 Units * 0.15 Hours)] * $ 40/hour} - $ 607,500

= {[14,000 Hours * $ 40/Hour]} - $ 607,500

= - $ 47,500 (Unfavorable)

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