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SECTION A Q.2 As Engineering Manager in Your Company Ltd. you are responsible for maximising the profit from four product lines W, X, Y and Z. You have been provided with the following information: Direct materials (kg) 75 90 85 70 Direct labour (h) Fabrication Assembly Packaging 4.5 8 3.5 4.5 9.5 4 3.5 6 Selling price per unit (S) 1400 2350 3000 1200 280 Max. sales for the period (in units) 400 300 450 Budgeted production 300 270 270 280 (in units ) Additional information is also provided 1 There are no closing stocks. 2. Material costs are estimated at £8.00/kg 3. The labour rate for the assembly and packaging operations is £16.00/h and £22/h for the fabrication process. The skilled labour required for the fabrication is in short supply although there is just enough to meet the current budgeted production 4. Required Prepare a statement showing the contribution from each product based on the budgeted production. (a) (8 marks) (b) Calculate the contribution per unit of limiting factor (2 marks) Prepare a statement showing the maximum total contribution that can be obtained. Explain your rationale (c) (10 marks)

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1 Statement of Contribution: Product Selling Price per unit Less: Direct Material per unit Less: Direct Labour per unit 1,4002 Statement of Contribution per unit of limiting factor: (Limiting Factor Labour for Fabrication operation) Product Contribution per unit Direct Labour for Fabrication per unit (hour) Contribution per hour of Fabrication operation Ranking 568 E 1,347 E 2,005 E 419 4.5 3.5 142 E 299 E 446 E 120 Maximum available hours of Direct Labour for Fabrication Operation: Total Budgeted production (units) Direct Labour for Fabrication per unit (hour) Total Direct labour hours of Fabrication 280 3.5 980 300 270 270 1200 1215 1215 4610We should firstly produce such product upto maximum sale which give highest contribution per unit of limiting factor(fabrication operation) We should produce according to the ranking provided in 2 Statement of Optimum Product Mix: Unit to be produced (upto maximum sales) Direct labour hours of Fabrication per unit Total Direct labour hour of Fabrication 1600 1350 1260 400 (balance 4610 Product Ranking 2 300 4.5 114 3.5 Statement of Maximum Contribution: Product Units to be produced (optimum product mix) Contribution per unit 114 419 300 568 E 1,347 E 2,005 E Contribution 227,200 f 404,100 f£ 561,400 £ 47,766

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