(Solved Homework): Pittman Company is a small but growing manufacturer of telecommunications equipment. The company has no sales…

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 $ 23,000,000 Manufacturing expenses: Variable $ 10,350,000 Fixed overhead 3,220,000 13,570,000 Gross margin 9,430,000 Selling and administrative expenses: Commissions to agents 3,450,000 Fixed marketing expenses 161,000 * Fixed administrative expenses 2,080,000 5,691,000 Net operating income 3,739,000 Fixed interest expenses 805,000 Income before income taxes 2,934,000 Income taxes (30%) 880,200 Net income $ 2,053,800 *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 $3,450,000 per year, but that would be more than offset by the $4,600,000 (20% × $23,000,000) that we would avoid on agents’ commissions.” The breakdown of the $3,450,000 cost follows: Salaries: Sales manager $ 143,750 Salespersons 862,500 Travel and entertainment 575,000 Advertising 1,868,750 Total $ 3,450,000 “Super,” replied Karl. “And I noticed that the $3,450,000 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 $105,800 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.

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There are two variable costs in the question.

Variable manufacturing expenses : $10,350,000 (45% of sales of $23,000,000)

Sales agents’ commision : $3,450,000 (15% of sales of $23,000,000)

1.(a) With agents’ commission rate remaining at 15%.

The break even sales at the current position with agents’ commission @ 15% is $15,665,000

 

Sales A 23000000
Variable expenses
Variable manufacturing costs (45% of sales) 10350000
Sales commission (15% of sales) 3450000
Total Variable costs B 13800000
Contribution margin                  (A – B) C 9200000
Contribution margin (%)         (C / A) D 40%
Fixed expenses
Fixed manufacturing expenses 3220000
Fixed marketing expenses 161000
Fixed administrative expenses 2080000
Interest 805000
Total Fixed Expenses E 6266000
Break even point (E / D) F 15665000

1 (b) With sales commission @20% of sales.

The break even sales with agents’ commission at 20% is $17,902,857.

Sales A 23000000
Variable expenses
Variable manufacturing costs (45% of sales) 10350000
Sales commission (20% of sales) 4600000
Total Variable costs B 14950000
Contribution margin                  (A – B) C 8050000
Contribution margin (%)         (C / A) D 35%
Fixed expenses
Fixed manufacturing expenses 3220000
Fixed marketing expenses 161000
Fixed administrative expenses 2080000
Interest 805000
Total Fixed Expenses E 6266000
Break even point (E / D) F 17902857

2. Sales that is required to achieve the same profit as at present with agents commission @ 20%.

The break even point sales required to maintain the same net income as at present with 20% agents’ commission will be $23,770,857.

Sales A 23000000
Variable expenses
Variable manufacturing costs (45% of sales) 10350000
Sales commission (20% of sales) 4600000
Total Variable costs B 14950000
Contribution margin                  (A – B) C 8050000
Contribution margin (%)         (C / A) D 35%
Fixed expenses
Fixed manufacturing expenses 3220000
Fixed marketing expenses 161000
Fixed administrative expenses 2080000
Interest 805000
Total Fixed Expenses E 6266000
Present level of profit F 2053800
Break even point to maintain the same 23770857
amount of profit as at present (E + F ) / D

4. Degrees of operating leverage.

(a).Agents’ commission @15%

Sales A 23000000
Variable expenses
Variable manufacturing costs (45% of sales) 10350000
Sales commission (15% of sales) 3450000
Total Variable costs B 13800000
Contribution margin                  (A – B) C 9200000
Contribution margin (%)         (C / A) D 40%
Fixed expenses
Fixed manufacturing expenses 3220000
Fixed marketing expenses 161000
Fixed administrative expenses 2080000
Interest 805000
Total Fixed Expenses E 6266000
Net income F 2934000
Operating leverage   (C / F)           3.14

(b) The agents’ commission rate is increased to 20%

Sales A 23000000
Variable expenses
Variable manufacturing costs (45% of sales) 10350000
Sales commission (20% of sales) 4600000
Total Variable costs B 14950000
Contribution margin                  (A – B) C 8050000
Contribution margin (%)         (C / A) D 35%
Fixed expenses
Fixed manufacturing expenses 3220000
Fixed marketing expenses 161000
Fixed administrative expenses 2080000
Interest 805000
Total Fixed Expenses E 6266000
Net income F 1784000
Operating leverage   (C / F)           4.51

(c) With own sales force.

Sales A 23000000
Variable expenses
Variable manufacturing costs (45% of sales) 10350000
Sales commission (7.5% of sales) 1725000
Total Variable costs B 12075000
Contribution margin                  (A – B) C 10925000
Contribution margin (%)         (C / A) D 48%
Fixed expenses
Fixed manufacturing overhead 3220000
Sales manager’s salary 143750
Sales staff salaries 862500
Travel & entertaiment 575000
Advertisement 1868750
Fixed marketing expenses 161000
Fixed administrative expenses * 1974200
Interest 805000
Total Fixed Expenses E 9610200
Net Income    ( C – E) F 1314800
Operating leverage   (C / F)           8.31

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