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Hixson Company manufactures and sells one product for $34 per unit. The company maintains no beginning or ending inventories and its relevant range of production is 20,000 units to 30,000 units. When Hixson produces and sells 25,000 units, its unit costs are as follows:
Amount Per Unit
Direct materials $8.00
Direct labor $5.00
Variable manufacturing overhead $1.00
Fixed manufacturing overhead $6.00
Fixed selling expense $3.50
Fixed administrative expense $2.50
Sales commissions $4.00
Variable administrative expense $1.0
Required:
1. For financial accounting purposes, what is the total amount of product costs incurred to make 25,000 units? What is the total amount of period costs incurred to sell 25,000 units?
2. If 24,000 units are produced, what is the variable manufacturing cost per unit produced? What is the average fixed manufacturing cost per unit produced?
3. If 26,000 units are produced, what is the variable manufacturing cost per unit produced? What is the average fixed manufacturing cost per unit produced?
4. If 27,000 units are produced, what are the total amounts of direct and indirect manufacturing costs incurred to support this level of production?
5. What total incremental manufacturing cost will Hixson incur if it increases production from 25,000 to 25,001 units?
6. What is Hixson’s contribution margin per unit? What is its contribution margin ratio?
7. What is Hixson’s break-even point in unit sales? What is its break-even point in dollar sales?
8. How much will Hixson’s net operating income increase if it can grow production and sales from 25,000 units to 26,500 units?
9. What is Hixson’s margin of safety at a sales volume of 25,000 units?
10. What is Hixson degree of operating leverage at a sales volume of 25,000 units?

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Answer:

Hixson Company

1. Total amount of product costs incurred to make 25,000 units is:

= $500,000

Total amount of period costs incurred to sell 25,000 units is:

= $187,500

2. Variable manufacturing cost per unit of 24,000 units is:

= $14.00

The fixed manufacturing cost per unit is:

= $6.25

3. The variable manufacturing cost per unit is:

= $14.00

The fixed manufacturing cost per unit produced is:

= $5.77

4. If 27,000 are produced, the total amounts of direct and indirect manufacturing costs incurred to support this level of production are:

Direct manufacturing costs = $378,000

Indirect manufacturing costs = $150,000

5. The total incremental manufacturing cost that Hixson will incur if it increases production from 25,000 to 25,001 units is:

= $14.

6. Contribution margin per unit is:

= $15

Contribution margin ratio is:

= 44%

7. Break-even point in unit sales is:

= 20,000 units

Break-even point in dollars sales = $300,000/44.1176%

= $680,000

8. The net operating income will increase to $97,500 ($15 * 6,500)if it can grow production and sales from 25,000 to 26,500.

9. Hixson's margin of safety at sales volume of 25,000 units is:

= $170,000

10. Degree of operating leverage at a sales volume of 25,000 units is:

= 3.85

Explanation:

a) Data and Calculations:

Selling price per unit = $34

Production and sales unit = 25,000 units

Unit costs at 25,000 units

                                                      Per Unit

Direct materials                                $8.00

Direct labor                                       $5.00

Variable manufacturing overhead   $1.00

Fixed manufacturing overhead      $6.00

Fixed selling expense                     $3.50

Fixed administrative expense        $2.50

Sales commissions                         $4.00

Variable administrative expense    $1.00

Total cost per unit                         $31.00

Product costs (financial accounting):

                                                       Per Unit

Direct materials                                $8.00

Direct labor                                       $5.00

Variable manufacturing overhead   $1.00

Fixed manufacturing overhead       $6.00

Total product costs per unit          $20.00

Period costs:

Fixed selling expense                     $3.50  

Sales commissions                         $4.00

Total selling period costs per unit $7.50

1. Total amount of product costs incurred to make 25,000 units is:

= $500,000 ($20 * 25,000)

Total amount of period costs incurred to sell 25,000 units is:

= $187,500 ($7.50 * 25,000)

2. Variable manufacturing cost per unit of 24,000 units is:

= $14.00

The fixed manufacturing cost per unit is:

= $6.25 ($6 * 25,000/24,000)

3. The variable manufacturing cost per unit is:

= $14.00

The fixed manufacturing cost per unit produced is:

= $5.77 ($6 * 25,000/26,000)

4. If 27,000 are produced, the total amounts of direct and indirect manufacturing costs incurred to support this level of production are:

Direct manufacturing costs = $378,000 ($14 * 27,000)

Indirect manufacturing costs = $150,000 ($6 * 25,000)

5. The total incremental manufacturing cost that Hixson will incur if it increases production from 25,000 to 25,001 units is $14.

Contribution margin per unit:

Selling price = $34

Variable costs = 19

Contribution  = $15

6. Contribution margin per unit is $15 ($34 - $19).

Contribution margin ratio is 44% ($15/$34 * 100)

7. Break-even point in unit sales = FC/CM per unit

= $300,000/$15

= 20,000 units

Break-even point in dollars sales = $300,000/44.1176%

= $680,000 (20,000 * $34)

8. The net operating income will increase to $97,500 ($15 * 6,500)if it can grow production and sales from 25,000 to 26,500.

9. Hixson's margin of safety at sales volume of 25,000 units is:

= $170,000 ($850,000 - $680,000)

10. Degree of operating leverage at a sales volume of 25,000 units is:

= Contribution margin/net operating income

= $375,000/$97,500

= 3.85

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