1
Prepare a comparative contribution income statement for Incorporation C for the current year that shows the sales volume and selling price variance for each product.
1

Explanation of Solution
Prepare a comparative contribution income statement for Incorporation C:
Current year | Sales price variance | Flexible budget | Sales volume variance | Prior Year | |
Sales | |||||
Half inch Model | $43,200 | ($7,200) | $50,400 | $23,100 | $27,300 |
One inch Model | $129,600 | $14,400 | $115,200 | ($30,400) | $145,600 |
$172,800 | $7,200 | $165,600 | ($7,300) | $172,900 | |
Less: Variable Costs | |||||
Half inch Model | $21,600 | $21,600 | $9,900 | $11,700 | |
One inch Model | $28,800 | $28,800 | ($7,600) | $36,400 | |
Contribution | $122,400 | $7,200 | $115,200 | ($9,600) | $124,800 |
Less: Fixed Costs | $35,000 | $35,000 | |||
Operating Income | $87,400 | $89,800 | |||
Contribution Margin By Product: | |||||
Half inch Model | $21,600 | $28,800 | $13,200 | $15,600 | |
One inch Model | $100,800 | $86,400 | ($22,800) | $109,200 | |
Total contribution Margin | $122,400 | $7,200 | $115,200 | ($9,600) | $124,800 |
Less: Fixed Costs | $35,000 | $35,000 | $35,000 | ||
Operating Income | $87,400 | $80,200 | $89,800 |
Table (1)
Calculate the sales volume variance:
Product | Calculation | Result |
Half Inch | [(0.3 × 6,5 00) – (0.5 × 7,200)] × ($14 − $6) | $13,500 (F) |
One Inch | [(0.7 × 6,500) – (0.5 × 7,200)] × ($32 − $8) | $22,800 (U) |
Table (2)
Calculate the selling price variance:
Product | Calculation | Result |
Half Inch | (0.5 × 7,200) × ($14 − $12) | $7,200 (U) |
One Inch | (0.5 × 7,200) × ($36 − $32) | $14,400 (F) |
Table (3)
2
Compute the sales mix variance and the sales quantity variance for each product, based on contribution margin.
2

Explanation of Solution
Compute the sales mix variance:
Product | Calculation | Result |
Half Inch | (0.5 − 0.3) × 7,200 × ($14 − $6) | $11,520 (F) |
One Inch | (0.5 − 0.7) × 7,200 × ($32 − $8) | $14,400 (F) |
Table (4)
Compute the sales Quantity variance:
Product | Calculation | Result |
Half Inch | (7,200 – 6,500) × 0.3 × ($14 − $6) | $1,680 (F) |
One Inch | (7,200 – 6,500) × 0.7 × ($32 − $8) | $11,760 (F) |
Table (5)
3
Identify whether the price change have the expected results. Explain the reasons.
3

Explanation of Solution
The sales strategy of reducing the price on the half-inch model was a success in sales volume as sales units improved from 1,950(0.3 × 6,500) to 3,600(0.5 × 7,200), an increase of 1,650 units. The selling price variance was unfavorable due to the price change, a loss of $7,200($2 price change × 3,600 units), however the sales volume variance for the product, depending on sales, was favorable, at $23,100(1,650 units × $14), for a net positive impact on sales for the half-inch model of $15,900($23,100 − $7,200).
The strategy of increasing price on the one-inch model could have resulted the drop in sales of 950 units (0.7 × 6,500 − 0.5 × 7,200), however it produced a favorable selling price variance of $14,400, with an unfavorable sales volume variance of $30,400(950 × $32), depending on sales, for a net decline of $16,000 in sales dollars.
The impact of the raised sales volume on variable costs was $9,900(1,650 × $6) for the raised sales of the half inch model. The decreased variable costs due to the reduced sales of the one-inch model was 950 × $8 = $7,600.
The net effect on operating income of the sales strategies was unfavorable at $2,400($89,800 − $87,400). The net improvement in the half-inch model of $6,000($13,200 − $7,200) was offset by the loss of $8,400($22,800 − $14,400) on the one-inch model.
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Chapter 16 Solutions
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