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辅导 Overhead Allocation Methods讲解 Python编程

Section 1: Overhead Allocation Methods

Example Ltd manufactures two products, Product A and Product B. It applies departmental overhead rates based on machine hours for its machining department and direct labour hours for its finishing department. The budgeted overhead costs, prior to the allocation of support department costs, and the budgeted allocation base used in the two production departments are as follows:

Support departments:

Quality control

38,000


Material handling

80,000



118,000


Production departments:

Machining

200,000

21,000 machine hours

Finishing

160,000

39,000 direct labour hours


360,000


The usage of the support departments’ output for the year is as follows:

Provider of the service

User of the service

Quality control

Material handling

Quality control

-

700

Material handling

450

-

Machining

500

2,400

Finishing

850

2,500

Example Ltd plans to produce 5,000 units of Product A and 2,000 units of Product B. Product A requires direct material costing $15 per unit and direct labour costing $35 per unit. A unit of Product A is produced using 3 machine hours in the machining department and 5 labour hours in the finishing department. Product B requires direct material costing $23 per unit and direct labour costing $50 per unit. A unit of Product B is produced using 3 machine hours in the machining department and 7 labour hours in the finishing department.

Required:

Use the step-down method to calculate support department cost.

(a) Calculate the overhead cost per unit of Product B.

(b) Calculate the unit product cost of Product B.

Section 2: Variance Analysis

Example Ltd produces one product and applies manufacturing overhead to products on the basis of direct labour hours. The standard cost card is as follows:

Inputs

Standard quantity or hours

Standard price or rate

Standard cost

Direct materials

5.00

$ 0.60

$ 3.00

Direct labour

0.80

$ 25.00

$ 20.00

Variable manufacturing overhead

0.80

$ 12.00

$ 9.60

Total standard unit cost



$ 32.60

The managers of Example Ltd budgeted the monthly fixed cost as $100,800 and applies fixed overhead costs at $8.75 per direct labour hour.

During October, 15,000 units were produced. The costs associated with October’s operations were as follows:

Material purchased: 76,000 kgs at $0.50 per kg

$ 38,000

Material used in production: 72,000 kgs


Direct labour: 10,000 hours at $27.50 per hour

$ 275,000

Variable manufacturing overhead costs incurred

$ 162,000

Fixed manufacturing overhead costs incurred

$ 110,000

Required:

1. Calculate the following variances for October, indicating whether each is favourable or unfavourable.

(a) Direct material price variance and quantity variance.

(b) Direct labour rate variance and efficiency variance.

(c) Variable overhead spending variance and efficiency variance.

(d) Fixed overhead budget variance and volume variance.

2. Prepare the journal entries to record:

(a) The purchase of direct materials.

(b) The use of direct materials in production.

(c) The closing of direct material variances to cost of goods sold.

Section 3: Capital expenditure and sustainability

One of Example Ltd’s main competitor has been inciting a price war as they managed to import cheap products that are well below Example Ltd’s full product cost. A production manager of Example Ltd’s has proposed investment in advanced technology to reduce labour costs while increasing production volume and product consistency.

Information about the proposed project is as follows:

· $5,600,000 investment in new equipment is required. The equipment has an estimated useful life of 8 years and no residual value.

· The existing equipment can be sold for a current market value of $200,000.

· The new equipment will be able to automate parts of production, assembly and inspection, making eight employees redundant. There is an estimated cost savings of $420,000 per year from the job cuts.

· Expected incremental revenue of $550,000 per year due to greater production volume and higher product quality and consistency.

· There will be additional maintenance costs of $100,000 per year.

Example Ltd requires a rate of return of 8%. Ignore tax implications.

Required:

1. Compute the following for the proposal (present value tables are available on the next page):

(a) Net present value.

(b) Payback period.

(c) Accounting rate of return with initial investment as the denominator.

2. Describe three qualitative considerations that the managers should consider in making the decision.

Section 4: Cost-Volume-Profit analysis

Example Ltd produces and sells two products. Information about the expected sales volume, selling price and variable cost per unit of the products are as follows:

Product A

Product B

Budgeted monthly sales

3,750.00

2,250.00

Selling price per unit

12.00

25.00

Variable cost per unit:



Direct material

4.80

11.00

Conversion costs

4.00

6.00

The expected monthly fixed cost is $16,400. Ignore income taxes.

Required:

1. Assume that only Product B was sold. Compute the following:

(a) Break-even in dollars.

(b) Target sales volume in units, assuming a target profit of $8,000.

(c) Safety of margin in dollars.

2. Assume that both products were sold. Calculate the total number of products that need to be sold to break-even.

Section 5: Budgets

Example Ltd is preparing their budget for the upcoming quarter, commencing 1 January. The following historical and projected month-end balances are available:


30 Nov

31 Dec

31 Jan

28 Feb

31 Mar

Cash sales

240,000

260,000

250,000

250,000

270,000

Credit sales

120,000

130,000

128,000

128,000

135,000

Credit purchases

200,000

220,000

210,000

210,000

240,000

Other operating costs

90,000

90,000

122,000

123,000

123,000

Additional information:

· Closing balance for cash at the end of the quarter (31 Dec) is $50,000.

· Other operating costs excludes depreciation. Straight-line depreciation is $8,000 per month.

· 50% of other operating costs are paid for in the month incurred and the remainder paid in the following month.

· 80% of credit sales is received in the month after sale, 10% two months after sale and the balance is considered uncollectable.

· 75% of purchases is paid in the month after purchase and the remaining is paid two months after purchase.

· Example Ltd has placed an order for a new machine that will cost $30,000. The scheduled payment date is in March.

· The store's cost of goods sold is 60% of its sales revenue.

Required:

Prepare the cash budget for January and February. Include the opening and closing cash balances, cash receipts and cash payments.

[Additional practice] Section 5: Relevant costs and benefits

Example Ltd manufactures three types of products: Product A, Product B and Product C. Prior month revenue and cost data are as follows:

Product A

Product B

Product C

Total

Sales

400,000

360,000

100,000

860,000

Variable expenses

180,000

150,000

60,000

390,000

Contribution margin

220,000

210,000

40,000

470,000

Fixed expenses





Advertising

50,000

54,000

41,000

145,000

Depreciation of special equipment

40,000

35,000

20,000

95,000

Line supervisors' salaries

7,000

6,000

6,000

19,000

General factory overhead

90,000

72,000

28,000

190,000

Total fixed expenses

187,000

167,000

95,000

449,000

Net operating income

33,000

43,000

(55,000)

21,000

Management is concerned about the continued losses from Product C and wants a recommendation as to whether the line should be discontinued.

Advertising expense is traceable to each product line. The special equipment used to produce Product C has no resale or reuse value. If Product C is dropped, the line supervisors will be discharged. General factory overhead is allocated to each product line.

Required:

1. Assume that elimination of Product C will not affect the sales of the other product lines. Would you recommend the product line be discontinued? Support your answer with relevant cost and benefit analysis.

2. Assume that elimination of Product C will result in a 2% decrease in the production and sales of Product A and 2% decrease in the production and sales of Product B. Would you recommend the product line be discontinued? Support your answer with relevant cost and benefit analysis.

Section 6: Pricing

Example Ltd provides two packaged services (Bundle A and Bundle B) and customised services tailored to the need of clients. On average Example Ltd receives 90 orders for Bundle A and 40 orders for Bundle B. The company’s capacity is limited by its available labour hours, where only 16,700 labour hours are available each year.

Each Bundle A is priced at $33,000, incurs in variable costs of $28,000 and requires 140 labour hours. Each Bundle B is priced at $72,000, incurs in variable costs of $65,000 and requires 150 labour hours.

For customised jobs, Example Ltd determines the price using time and material pricing. Budgeted information relating to this accounting period is as follows:

Labour rate, including on-costs

$ 28

Annual labour hours

16,700

Annual overhead costs:


Material handling and storage

$ 180,000

Other overhead costs

$ 350,700

Annual cost of materials used

$ 900,000

A mark-up of $6 per hour on time charges are applied to all customised jobs.

Required:

Calculate the price for a customised job that requires 65 labour hours and $19,000 material costs.

[Additional practice] Section 6: Product mix

<< Same scenario as Section 6: Pricing >>

Required:

Suppose Example Ltd does not provide customised services and only offers the two packaged services. Determine how many instances of Bundle A and Bundle B should be provided to maximise profitability.


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