Question
c. Net income before income tax of $150,000 is desired after covering $410,000 of fixed cost. What minimum contribution margin ratio must be maintained if
c. Net income before income tax of $150,000 is desired after covering $410,000 of fixed cost. What
minimum contribution margin ratio must be maintained if total sales revenue is to be $1,600,000?
d. Net income before income tax is 20% of sales revenue, the contribution margin ratio is 60%, and
the break-even dollar sales is $200,000. What is the amount of total revenue?
e. Total fixed cost is $350,000, variable cost per unit is $26, and unit sales price is $50. What dollar
sales volume will generate an after-tax net income of $60,000 when the income tax rate is 40%?
P6-10B. Break-Even and Net Income Planning Venice Company has recently leased facilities for the manu-
facture of a new product. Based on studies made by its accounting personnel, the following data are
available:
Estimated annual sales ........................................ 60,000 units
Estimated Costs Amount Unit Cost
Direct materials............................................... $ 870,000 $14.50
Direct labor .................................................. 750,000 12.50
Manufacturing overhead........................................ 384,000 6.40
Administrative expenses........................................ 228,000
3.80
$2,232,000 $37.20
Selling expenses are expected to be 20% of sales, and the selling price is $82 per unit. Ignore income
tax in this problem.
Required
a. Compute a break-even point in dollars and in units. Assume that manufacturing overhead and
administrative expenses are fixed but that other costs are variable.
b. What would net income before income tax be if 40,000 units were sold?
c. How many units must be sold to earn a net income before income tax of 10% of sales?
P6-11B. Multiple Product Break-Even and Net Income Planning Madison Company manufactures and
sells the following three products:
Red Blue Green
Unit sales ............................................ 20,000 30,000 50,000
Unit sales price........................................ $30 $62 $18
Unit variable cost ...................................... $18 $38 $14
Required
Assume that total fixed cost is $324,800.
a. Compute the net income before income tax based on the sales volumes shown above.
b. Compute the break-even point in total dollars of revenue and in specific unit sales volume for
each product.
c. Prove your break-even calculations by computing the total contribution margin related to your
answer in requirement (b).
EXTENDING YOUR KNOWLEDGE
EYK6-1. Business Decision Case The following total cost data are for Ralston Manufacturing Company,
which has a normal capacity per period of 400,000 units of product that sell for $18 each. For the
foreseeable future, regular sales volume should continue at normal capacity of production.
Solution 6.1
y-intercept 5 Total fixed costs of $5.000
Slope 5 Variable cost per unit of approximately $0.50 per water bottle cage
Total cost 5 ($0.50 3 # of water bottle cages) 1 $5,000
$25,000 5 $0.50 3 40,000 1 $5,000
Direct materials. . . . . . . . . . . . . . . . . . . . . . . . . $1,720,000
Direct labor . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,120,000
Variable overhead . . . . . . . . . . . . . . . . . . . . . . 560,000
Fixed overhead (Note 1). . . . . . . . . . . . . . . . . . 880,000
Selling expense (Note 2) . . . . . . . . . . . . . . . . . 720,000
Administrative expense (fixed) 200,000
$5,200,000
Notes:
1. Beyond normal capacity, fixed overhead cost increases $30,000 for each 20,000 units or fraction
thereof until a maximum capacity of 640,000 units is reached.
2. Selling expenses are a 10% sales commission. Ralston pays only one-half of the regular sales
commission rates on any sale of 20,000 or more units.
Ralstons sales manager has received a special order for 48,000 units from a large discount chain at a
special price of $16 each, F.O.B. factory. The controllers office has furnished the following additional
cost data related to the special order:
1. Changes in the products construction will reduce direct materials $1.80 per unit.
2. Special processing will add 25% to the per-unit direct labor costs.
3. Variable overhead will continue at the same proportion of direct labor costs.
4. Other costs should not be affected.
Required
a. Present an analysis supporting a decision to accept or reject the special order. Assume Ralstons
regular sales are not affected by this special order.
b. What is the lowest unit sales price Ralston could receive and still make a before-tax profit of
$39,600 on the special order?
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