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Costs Incurred Production in Units 5,000 10,000 Determine the inn\'s break-even

ID: 2379485 • Letter: C

Question

Costs Incurred

Production in Units

5,000

10,000

  Determine the inn's break-even point in (1) number of rented rooms per month and (2) dollars.  

Question 1 Hall Company manufactures a single product. Annual production costs incurred in the  manufacturing process are shown below for two levels of production.  

Costs Incurred

Production in Units

5,000

10,000

Production Costs Total Cost Cost/Unit Total Cost Cost per Unit Direct Materials $8,250 $1.65 $16,500 $1.65 Direct Labor 9,500 1.90 19,000 1.90 Utilities 1,500 0.30 2,500 0.25 Rent 4,000 0.80 4,000 0.40 Maintenance 800 0.16 1,100 0.11 Supervisory salaries 1,000 0.20 1,000 0.10 Hall Company manufactures a single product. Annual production costs incurred in the manufacturing process are shown below for two levels of production. Match the definitions to the terms. Remain constant in total, but vary on a per-unit basis. Contain both a fixed element and a variable element. Vary both in total and on a per unit basis. Vary in total but remain constant on a per-unit basis. Classify each cost above as either variable, fixed, or mixed. The Lake Shore Inn is trying to determine its break-even point. The inn has 50 rooms that are rented at $62 per night. Operating costs are as follows: Determine the inn's break-even point in (1) number of rented rooms per month and (2) dollars.

Explanation / Answer

Answers

---Part 1

Variable costs

Vary in total but remain constant on a per-unit basis

Fixed costs

Remain constant in total, but vary on a per-unit basis

Mixed costs

Contain both a fixed element and a variable element. Vary both in total and on a per unit basis

---Part 2

Direct Materials

Variable cost, because cost per unit stayed at $1.65 even when production increased to 10,000 units from 5,000 units.

Direct Labor

Variable cost, because cost per unit stayed at $1.90 even when production increased to 10,000 units from 5,000 units.

Utilities

Mixed Cost, because cost per unit changed as well as total cost also changed when production increased.

Rent

Fixed, because total cost stayed the same, while per unit cost decreased as the production increased.

Maintenance

Mixed Cost, because cost per unit changed as well as total cost also changed when production increased.

Supervisory salaries

Fixed, because total cost stayed the same, while per unit cost decreased as the production increased.

---Working

A

Salaries

$                                           8,875.00

B

Utilities

$                                           1,482.00

C

Depreciation

$                                           1,198.00

D

Maintenance

$                                               233.00

E= A+B+C+D

Total Fixed Cost

$                                         11,788.00

A

Maid Service

$                                                    6.00

B

Other costs

$                                                 28.00

C=A+B

Total variable cost per room

$                                                 34.00

---Answer: Break Even

A

Rent per night per room

$                                                 62.00

B

Total variable cost per room

$                                                 34.00

C=A-B

Contribution margin per room

$                                                 28.00

D

Total Fixed Cost

$                                        11,788.00

E = D/C

Break Even number of rooms rented per month

421

F = E x A

Break Even Sales Dollars

$                                         26,102.00

Variable costs

Vary in total but remain constant on a per-unit basis

Fixed costs

Remain constant in total, but vary on a per-unit basis

Mixed costs

Contain both a fixed element and a variable element. Vary both in total and on a per unit basis