Question Tag: Optimum production

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MA – May 2020 – L2 – Q5a – Relevant cost and revenue, Decision making techniques

Determine the optimum production plan for Blasius Ltd based on given resource constraints and calculate the total contribution.

Blasius Ltd is a leading manufacturer of furniture in Ghana. The company manufactures these three garden furniture products – chair, bench, and table. The budgeted unit cost and resource requirements of each of these items are detailed below:

Product Chair (GH¢) Bench (GH¢) Table (GH¢)
Timber cost 5.00 15.00 10.00
Direct labour cost 4.00 10.00 8.00
Variable overhead cost 3.00 7.50 6.00
Fixed overhead cost 4.50 11.25 9.00
Total Cost 16.50 43.75 33.00

Budgeted volumes per annum:

Product Quantity
Chair 3,500
Bench 1,900
Table 1,350

These volumes are believed to equal the market demand for these products. Fixed overhead costs are attributed to the three products on the basis of direct labour hours. The cost of the timber is GH¢2.00 per square metre.

The products are made from a specialized timber. A memo from the purchasing manager advises you that because of a problem with the supplier, this specialized timber is limited in supply to 20,000 square metres per annum.

The sales director has already accepted an order for 500 chairs, 100 benches, and 150 tables which, if not supplied, would incur a financial penalty of GH¢2,000. These quantities are NOT included in the market demand estimates above.

The selling prices of the three products are:

Product Selling Price (GH¢)
Chair 20.00
Bench 50.00
Table 40.00

Required:

a) Determine the optimum production plan and state the total contribution that this would yield. (10 marks)

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MA – May 2020 – L2 – Q5a – Relevant cost and revenue, Decision making techniques

Determine the optimum production plan for Blasius Ltd based on given resource constraints and calculate the total contribution.

Blasius Ltd is a leading manufacturer of furniture in Ghana. The company manufactures these three garden furniture products – chair, bench, and table. The budgeted unit cost and resource requirements of each of these items are detailed below:

Product Chair (GH¢) Bench (GH¢) Table (GH¢)
Timber cost 5.00 15.00 10.00
Direct labour cost 4.00 10.00 8.00
Variable overhead cost 3.00 7.50 6.00
Fixed overhead cost 4.50 11.25 9.00
Total Cost 16.50 43.75 33.00

Budgeted volumes per annum:

Product Quantity
Chair 3,500
Bench 1,900
Table 1,350

These volumes are believed to equal the market demand for these products. Fixed overhead costs are attributed to the three products on the basis of direct labour hours. The cost of the timber is GH¢2.00 per square metre.

The products are made from a specialized timber. A memo from the purchasing manager advises you that because of a problem with the supplier, this specialized timber is limited in supply to 20,000 square metres per annum.

The sales director has already accepted an order for 500 chairs, 100 benches, and 150 tables which, if not supplied, would incur a financial penalty of GH¢2,000. These quantities are NOT included in the market demand estimates above.

The selling prices of the three products are:

Product Selling Price (GH¢)
Chair 20.00
Bench 50.00
Table 40.00

Required:

a) Determine the optimum production plan and state the total contribution that this would yield. (10 marks)

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