MA – L2 – Q8 – Total Quality Management

Akwasi Company makes and sells a single product from its base in Kumasi. The existing product specifications are as follows:

| Material X | 8 square metres at GH₵4 per square metre | | Machine time | 0.6 running hours | | Other machine costs | GH₵40/hour | | Selling price | GH₵100 |

Akwasi Company needs to fulfil orders for 5,000 units per period. There will be no change in inventory level during the period.
The following information is available about performance before the introduction of a TQM programme:
(1) 5% of incoming material from suppliers is scrapped due to poor receipt and storage.
(2) 4% of material input to the machine process is wasted in process.
(3) Inspection and storage of material cost GH₵0.10 per metre.
(4) Inspection during the cycle costs GH₵25,000 per period.
(5) Production is increased to allow for the downgrading of 12.5% of units at the final inspection phase. Downgraded units are sold as ‘second quality’ units at a discount of 30% of the final selling price.
(6) Production is increased to allow for returns from customers. These are replaced free of charge. Returns are due to specification failure and account for 5% of units initially delivered to customers. Replacement units incur a delivery cost of GH₵8 per unit. 80% of the returns from customers are rectified using 0.2 hours of machine running time and are resold as ‘third quality’ products at a discount of 50% on the standard selling price. The remaining returned units are sold as scrap for GH₵5 per unit.
(7) Product liability claims are estimated at 3% of sales revenue from standard product sales.
(8) Machine idle time is 20% of gross machine hours used.
(9) Sundry costs of administration, selling and distribution total GH₵60,000 per period.
(10) Akwasi Company is aware of these excess costs and currently spends GH₵20,000 per period to prevent them from happening.

Akwasi Company is planning a quality management programme that will increase its cost prevention expenditure from GH₵20,000 to GH₵60,000 per period. The estimates of performance levels after the TQM programme are as follows:
(1) A reduction in stores losses of material to 3%.
(2) A reduction in the downgrading of products inspected to 7.5%.
(3) A reduction in material losses in the process to 2.5% of input to the machine process.
(4) A reduction in returns of products from customers to 2.5% delivered.
(5) A reduction in machine idle time to 12.5% of gross hours used.
(6) A reduction in product liability claims to 1% of sales revenue.
(7) A reduction in inspection checks by 40% of the existing figure.
(8) A reduction in sundry administration, selling and distribution costs by 10% of the existing figure.
(9) A reduction in machine running time per unit of product to 0.5 hours.

Required:
(a) Prepare summaries showing total units, purchases of material and gross machine hours:
(i) before implementation of the TQM programme, and
(ii) after implementation of the TQM programme.
(b) Prepare statements of profit or loss for the period both before and after implementation of the TQM programme.

(a) Projected data
(i) Total production units

Before TQM After TQM
Sales 5,000 5,000
Returns: (5% / 2.5% of sales) 250 125
Final inspection (12.5% / 7.5% of production) 750 416
Total production units 6,000 5,541

(ii) Purchases of material X

Before TQM After TQM
Material usage (6,000 or 5,541 × 8 m²/unit) 48,000 44,328
Processing losses: (4% / 2.5% of input) 1,920 1,137
49,920 45,465
Storage losses: (5% / 3% of receipts) 2,712 1,406
52,632 46,871

(iii) Gross machine hours

Before TQM After TQM
Machine usage (6,000 × 0.6 hrs/unit) 3,600
Machine usage (5,541 × 0.5 hrs/unit) 2,770
Work on 3rd quality units (80% × 250 × 0.2) 40
Work on 3rd quality units (80% × 125 × 0.2) 20
3,640 2,790
Idle time: (20% / 12.5% of usage) 910 400
Gross machine hours 4,550 3,190

(b) Statements of profit or loss

Before TQM GH₵ GH₵
Sales:
1st quality (5,000 × 100) 500,000
2nd quality (750 × 70) 52,500
3rd quality (200 × 50) 10,000
Scrap (50 × 5) 250
562,750
Costs:
Fixed
Prevention 20,000
Sundry 60,000
Inspection 25,000
105,000
Variable
Inspection/storage (52,632 × 0.1) 5,263
Material (52,632 × 4) 210,528
Machine hours (4,550 × 40) 182,000
Delivery costs (250 × 8) 2,000
Product liability claims (3% × 500,000) 15,000
414,791
Total costs 519,791
Profit 42,959
After TQM GH₵ GH₵
Sales:
1st quality (5,000 × 100) 500,000
2nd quality (416 × 70) 29,120
3rd quality (100 × 50) 5,000
Scrap (25 × 5) 125
534,245
Costs:
Fixed
Prevention 60,000
Sundry 54,000
Inspection 15,000
129,000
Variable
Inspection/storage (46,871 × 0.1) 4,687
Material (46,871 × 4) 187,484
Machine hours (3,190 × 40) 127,600
Delivery costs (125 × 8) 1,000
Product liability claims (1% × 500,000) 5,000
325,771
Total costs 454,771
Profit 79,474