MA – L2 – Q3 – Throughput Accounting

A company based near the Blue River manufactures two products, Product A and Product B, on the same machines. Sales demand for the products exceeds the machine capacity of the company’s production department. The potential sales demand in each period is for 8,000 units of Product A and 12,000 units of Product B. Sales prices cannot be increased due to competition from other firms in the market. The maximum machine capacity in the production department is 32,000 hours in each period.
The following cost and profitability estimates have been prepared:

Product A Product B
Sales price GH¢22 GH¢27
Direct materials 10 9
Direct labour and variable overhead 6 11
Contribution per unit 6 7
Machine hours per unit 1.5 2

Fixed costs in each period are GH¢90,000.
Required:
(a) Using marginal costing principles, calculate the profit-maximising output in each period, and calculate the amount of profit.

(b) Explain how throughput accounting differs from marginal costing in its approach to maximising profit.

(c) Use throughput accounting to calculate the throughput accounting ratio for Product A and for Product B. You should assume that the direct labour cost and variable overhead cost in your answer to part (a) is fixed in the short term.

(d) Using throughput accounting principles, calculate the profit-maximising output in each period, and calculate the amount of profit.

(a) Marginal costing approach
Profit will be maximised by producing output to maximise the contribution per machine hour (contribution per unit of limiting factor).

Product A Product B
Contribution per unit GH¢6 GH¢7
Machine hours per unit 1.5 hours 2 hours
Contribution per machine hour GH¢4 GH¢3.50
Priority for manufacture 1st 2nd

Profit will be maximised by making and selling 8,000 units of Product A in each period (maximum sales demand). This will require 12,000 machine hours. The remaining 20,000 machine hours should be used to make and sell 10,000 units of Product B.

GH¢
Contribution from Product A: 8,000 × GH¢6 48,000
Contribution from Product B: 10,000 × GH¢7 70,000
Total contribution 118,000
Fixed costs 90,000
Profit 28,000

(b) Throughput accounting is based on the view that value is not added to a product until the product is eventually sold. There is no value in inventory. When there is a limiting factor restricting production, all costs except for the cost of bought-in materials (raw materials, purchased components) are fixed costs in the short-term, including direct labour costs and associated ‘variable’ overheads.

The aim should be to maximise throughput in a period, where throughput is defined as sales minus the cost of bought-in materials.

The main difference between throughput accounting and marginal costing is in the treatment of direct labour and variable overhead costs as a ‘fixed cost’ in the short-term. In throughput accounting, fixed costs are referred to as ‘factory cost’.

(c) Throughput accounting ratio = Return per bottleneck unit / Factory cost per bottleneck unit
Here, the bottleneck resource is machine time.

Product A Product B
Sales price GH¢22 GH¢27
Materials cost 10 9
Throughput 12 18
Machine hours per unit 1.5 hours 2 hours
Throughput/return per machine hour GH¢8 GH¢9

To calculate the cost per factory hour, we need to make an assumption about direct labour cost and variable overhead costs. It is assumed that the direct labour cost and variable overhead cost in the answer to part (a) is fixed in the short-term.

GH¢
Direct labour and variable overhead costs:
Product A: 8,000 × GH¢6 48,000
Product B: 10,000 × GH¢11 110,000
Total contribution 158,000
Fixed costs 90,000
Factory cost in each period 248,000

Factory cost per machine hour = GH¢248,000 / 32,000 hours = GH¢7.75.

Product A Product B
Return per machine hour GH¢8 GH¢9
Factory cost per machine hour GH¢7.75 GH¢7.75
Machine hours per unit 1.5 hours 2 hours
Throughput accounting ratio 1.03 1.16
Priority for manufacture 2nd 1st

Tutorial note: The aim should be to maximise the throughput accounting ratio, and to ensure that the ratio is higher than 1.0. The throughput accounting ratio for both Product A and Product B is low, close to the minimum acceptable level.

(d) Profit will be maximised by making and selling 12,000 units of Product B (maximum sales demand). This will use up 24,000 machine hours. The remaining 8,000 machine hours should be used to make 5,333.33 units of Product A.

GH¢
Return from Product B: 12,000 × GH¢18 216,000
Return from Product A: 5,333.33 × GH¢12 64,000
Total return/throughput 280,000
Fixed costs 248,000
Profit 32,000