Tag (SQ): Product mix

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MA – L2 – Q46 – Decision making techniques

Compute Ouluto Limited's net profit for February 20X9 based on the optimum product mix, given resource constraints and cost data.

Ouluto Limited (OUL) is engaged in the manufacture and sale of three products viz. WBA, QPR and SC. The following information is available from OUL’s records for the month of February 20X9:

WBA QPR SC
Sales price per unit (GH₵) 2,300 1,550 2,000
Material cost per Kg. (GH₵) 250 250 250
Labour time per unit (Minutes) 20 30 45
Machine time per unit (Hours) 4 2.5 3
Net weight per unit of finished product (Kg.) 6 4 5
Yield (%) 90 95 92
Estimated demand (Units) 10,000 20,000 9,000

Each worker is paid monthly wages of GH₵15,000 and works a total of 200 hours per month. OUL’s total overheads are estimated at 20% of the material cost.
Fixed overheads are estimated at GH₵5 million per month and are allocated to each product on the basis of machine hours. 100,000 machine hours are estimated to be available in February 20X9.
Required:
Based on optimum product mix, compute OUL’s net profit for the month of February 20X9.

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MA – L2 – Q45 – Decision making techniques

Compute units of each product for Image Solutions to maximize profit and calculate contribution at optimal mix, considering machine hour constraints.

Image Solutions Limited deals in various products. Relevant details of the products are as under:

PW PX PY PZ
Estimated annual demand (units) 5,000 10,000 7,000 8,000
Sales price per unit (GH¢) 150 180 140 175
Material consumption:
R (kg) 2 2.5 1.5 1.75
T (kg) 0.5 0.6 0.4 0.65
Labour hours 2 2.25 1.75 2.5
Variable overheads (based on labour cost) 75% 80% 100% 90%
Fixed overheads per unit (GH¢) (based on 80% capacity utilisation) 10 20 14 16
Machine hours required:
Processing machine hours 5 6 8 10
Packing machine hours 2 3 2 4

Company has a long term contract for purchase of material R and T at a price of GH¢ 15 and GH¢ 20 per kg respectively. Wage rate for 8 hours shift is GH¢ 200.

The estimated overheads given in the above table are exclusive of depreciation expenses. The company provides depreciation on number of hours used basis. The depreciation on each machine based on full capacity utilisation is as follows:

Hours GH¢
Processing machine 150,000 150,000
Packing machine 100,000 50,000

The company has launched an advertising campaign to promote the sale of its products. GH¢ 2 million have been spent on such campaign. This cost is allocated to the products on the basis of sale.

Required:
Compute the number of units of each product that the company should produce in order to maximize the profit and also compute the product wise and total contribution at optimal product mix.

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