In: Accounting
Pittman Company is a small but growing manufacturer of
telecommunications equipment. The
company has no sales force of its own; rather, it relies completely
on independent sales agents to
market its products. These agents are paid a sales commission of
15% for all items sold.
Barbara Cheney, Pittman’s controller, has just prepared the
company’s budgeted income
statement for next year as follows:
Pittman Company
Budgeted Income Statement
For the Year Ended December 31
Sales $ 16,000,000
Manufacturing expenses:
Variable $7,200,000
Fixed overhead 2,340,000 9,540,000
Gross margin 6,460,000
Selling and administrative expenses:
Commissions to agents 2,400,000
Fixed marketing expenses 120,000*
Fixed administrative expenses 1,800,000 4,320,000
Net operating income 2,140,000
Fixed interest expenses 540,000
Income before income taxes 1,600,000
Income taxes (30%) 480,000
Net income $ 1,120,000
*Primarily depreciation on storage facilities.
As Barbara handed the statement to Karl Vecci, Pittman’s president,
she commented, “I
went ahead and used the agents’ 15% commission rate in completing
these statements,
but we’ve just learned that they refuse to handle our products next
year unless we
increase the commission rate to 20%.”
“That’s the last straw,” Karl replied angrily. “Those agents have
been demanding more
and more, and this time they’ve gone too far. How can they possibly
defend a 20%
commission rate?”
“They claim that after paying for advertising, travel, and the
other costs of promotion,
there’s nothing left over for profit,” replied Barbara.
“I say it’s just plain robbery,” retorted Karl. “And I also say
it’s time we dumped those
guys and got our own sales force. Can you get your people to work
up some cost figures
for us to look at?”
“We’ve already worked them up,” said Barbara. “Several companies we
know about pay
a 7.5% commission to their own salespeople, along with a small
salary. Of course, we
would have to handle all promotion costs, too. We figure our fixed
expenses would
increase by $2,400,000 per year, but that would be more than offset
by the $3,200,000
(20% × $16,000,000) that we would avoid on agents’
commissions.”
The breakdown of the $2,400,000 cost follows:
Salaries:
Sales manager $ 100,000
Salespersons 600,000
Travel and entertainment 400,000
Advertising 1,300,000
Total $2,400,000
“Super,” replied Karl. “And I noticed that the $2,400,000 equals
what we’re paying the
agents under the old 15% commission rate.”
“It’s even better than that,” explained Barbara. “We can actually
save $75,000 a year
because that’s what we’re paying our auditors to check out the
agents’ reports. So our
overall administrative expenses would be less.”
“Pull all of these numbers together and we’ll show them to the
executive committee
tomorrow,” said Karl. “With the approval of the committee, we can
move on the matter
immediately.”
Required:
1. Compute Pittman Company’s break-even point in dollar sales for
next year
assuming:
a. The agents’ commission rate remains unchanged at 15%.
b. The agents’ commission rate is increased to 20%.
c. The company employs its own sales force.
2. Assume that Pittman Company decides to continue selling through
agents and pays
the 20% commission rate. Determine the dollar sales that would be
required to
generate the same net income as contained in the budgeted income
statement for
next year.
3. Determine the dollar sales at which net income would be equal
regardless of whether
Pittman Company sells through agents (at a 20% commission rate) or
employs its
own sales force.
4. Compute the degree of operating leverage that the company would
expect to have at
the end of next year assuming:
a. The agents’ commission rate remains unchanged at 15%.
b. The agents’ commission rate is increased to 20%.
c. The company employs its own sales force.
Use income before income taxes in your operating leverage
computation.
5. Based on the data in (1) through (4) above, make a
recommendation as to whether
the company should continue to use sales agents (at a 20%
commission rate) or
employ its own sales force. Give reasons for your answer.
a. | Break-even point in dollar sales | 12,000,000 | |||||
BEP(dollar sales) = | fixed expense/contribution margin ratio | ||||||
Fixed cost | 4,800,000 | ||||||
Contribution margin | 40.0% | ||||||
b) | Break even point in dollar sales | 13,714,286 | |||||
c) | Break even point in dollar sales | 15,000,000 | |||||
2) | Voulme of sales (in dollars) | 18,285,714 | |||||
(Target income before taxes +fixed expense)/contribution margin | |||||||
3) | Voulme of Sales (in dollars) | 18,600,000 | |||||
X = | total evenue | ||||||
.65 X + 4,800,000= | .525x +7,125,000 | ||||||
0.125 | x | = | 2,325,000 | ||||
x = | 18600000 | ||||||
4) | |||||||
a) | Degree of operating leverage | 4.00 | |||||
b) | Degree of operating leverage | 7.00 | |||||
c) | Degree of operating leverage | 16.00 | |||||
degree of operating leverage = contribution marging/income before taxes |
Working notes
15% comm | 20% comm | 7.5% comm | ||||||
Sales | 16,000,000 | 100% | 16,000,000 | 100% | 16,000,000 | 100% | ||
Variable expenses: | ||||||||
manufacturing | 7,200,000 | 7,200,000 | 7,200,000 | |||||
comissions (15%;20%,7.5%) | 2,400,000 | 3200000 | 1200000 | |||||
total variable expense | 9,600,000 | 60.0% | 10,400,000 | 65.0% | 8,400,000 | 52.5% | ||
contribution margin | 6,400,000 | 40.0% | 5,600,000 | 35.0% | 7,600,000 | 47.5% | ||
fixed expenses | ||||||||
manufacturing overhead | 2,340,000 | 2,340,000 | 2,340,000 | |||||
marketing | 120,000 | 120,000 | 2,520,000 | |||||
administrative | 1,800,000 | 1,800,000 | 1,725,000 | |||||
interest | 540,000 | 540,000 | 540,000 | |||||
total fixed expense | 4,800,000 | 4,800,000 | 7,125,000 | |||||
income before income taxes | 1,600,000 | 800,000 | 475,000 | |||||
income taxes (30%) | 480000 | 240000 | 142500 | |||||
net income | 1,120,000 | 560,000 | 332,500 | |||||
increase in fixed expense-marketing | 2,400,000 | |||||||
saving in administrative expense | -75000 |