Determine the volume of sales at which net income would be


Problem -

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 commission of 15% of selling price for all items sold.

Barbara Cheney, Pittman's controller, has just prepared the company's budgeted income statement for next year. The statement follows:

Pittman Company Budgeted Income Statement For the Year Ended December 31

Sales


$21,400,000

Manufacturing costs:



Variable

$8,100,000


Fixed overhead

3,060,000

11,160,000

Gross margin


10,240,000

Selling and administrative costs:



Commissions to agents

3,210,000


Fixed marketing costs

300,000*


Fixed administrative costs

2,700,000

6,210,000

Net operating income


$4,030,000

Fixed interest cost


720,000

Income before income taxes


3,310,000

Income taxes (30%)


662,000

Net income


2,648,000

*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 8.2% 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 costs would increase by $3,210,000 per year, but that would be more than offset by the $4,280,000 (20% × $21,400,000) that we would avoid on agents' commissions."

The breakdown of the $3,210,000 cost follows:

Salaries:

 

Sales manager

$280,000

Salespersons

1,500,000

Travel and entertainment

1,120,000

Advertising

310,000

Total

$3,210,000

"Super," replied Karl. "And 1 noticed that the $3,210,000 is just what we're paying the agents under the old 15% commission rate."

"It's even better than that," explained Barbara. "We can actually save $165,000 a year because that's what we're having to pay the auditing firm now to check out the agents' reports. So our overall administrative costs would be less."

"Pull all of these numbers together arid 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: Determine the volume of 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.

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Accounting Basics: Determine the volume of sales at which net income would be
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