Consider the static budget column column 3 static

Consider the static budget column (Column 3):
Static budget total contribution margin $15,525
Budgeted units of all glasses to be sold 2,300
Budgeted contribution margin per unit of Plain $ 5
Budgeted contribution margin per unit of Chic $ 12
Suppose that the budgeted sales-mix percentage of Plain is y . Then the budgeted sales-mix
percentage of Chic is (1 – y ). Therefore,
(2,300y × $5) + (2,300 × (1 – y ) × $12) = $15,525
$11,500 y + $27,600 – $27,600 y = $15,525
$16,100 y = $12,075
y = 0.75 or 75%
1 – y = 25%
Hiro’s budgeted sales mix is 75% of Plain and 25% of Chic. We can then fill in all the numbers
in Column 3.
Step 2
Next, consider Column 2 of Solution Exhibit 14-26.
The total of Column 2 in Panel C is $12,825 (the static budget total contribution margin of
$15,525 – the total sales-quantity variance of $2,700 U which was given in the problem).
We need to find the actual units sold of all glasses, which we denote by q . From Column 2, we
know that
( q × 0.75 × $5) + ( q × 0.25 × $12) = $12,825
$3.75 q + $3 q = $12,825
$6.75 q = $12,825
q = 1,900 units
So, the total quantity of all glasses sold is 1,900 units. This computation allows us to fill in all the
numbers in Column 2.
Step 3
14- 25

Next, consider Column 1 of Solution Exhibit 14-26. We know actual units sold of all glasses
(1,900 units), the actual sales-mix percentage (given in the problem information as Plain, 60%;
Chic, 40%), and the budgeted unit contribution margin of each product (Plain, $5; Chic, $12).
We can therefore determine all the numbers in Column 1.
Solution Exhibit 14-26 displays the following sales-quantity, sales-mix, and sales-volume
variances:
Sales-Volume Variance
Plain $2,925 U
Chic 2,220 F
All Glasses $ 705 U
Sales-Mix Variances Sales-Quantity Variances
Plain $1,425 U Plain $1,500 U
Chic 3,420 F Chic 1,200 U
All Glasses $1,995 F All Glasses $2,700 U
3. Hiro Corporation shows an unfavorable sales-quantity variance because it sold fewer
wine glasses in total than was budgeted. This unfavorable sales-quantity variance is partially
offset by a favorable sales-mix variance because the actual mix of wine glasses sold has shifted
in favor of the higher contribution margin Chic wine glasses. The problem illustrates how failure
to achieve the budgeted market penetration can have negative effects on operating income.
14- 26

Chic 760 × $12 475 × $12 575 × $12
$9,120 $5,700 $6,900
$3,420 F $1,200 U
Sales-mix variance Sales-quantity variance
$2,220 F
Sales-volume variance
Panel C:
All Glasses
$14,820 $12,825 $15,525
$1,995 F $2,700 U
Total sales-mix variance Total sales-quantity variance
$705 U
Total sales-volume variance
F = favorable effect on operating income; U = unfavorable effect on operating income.