P Ltd. manufactures two products called ‘X’and ‘Y’. Both products use a common raw material Z. The raw material Z is purchased @72 per kg from the…

CA Intermediate · Cost and Management Accounting · MTP · May 2024
P Ltd. manufactures two products called ‘X’and ‘Y’. Both products use a common raw material Z. The raw material Z is purchased @72 per kg from the market. The company has decided to review inventory management policies for the forthcoming year. The following forecast information has been extracted from departmental estimates for the year ended 31st March 2025 (the budget period): Product X Product Y Sales (units) 28,000 13,000 Finished goods stock increase by year-end 320 160 Post-production rejection rate (%) 4 6 Material Z usage (per completed unit, net of wastage) 5 kg 6 kg Material Z wastage (%) 10 5 Additional information: Usage of raw material Z is expected to be at a constant rate over the period.Annual cost of holding one unit of raw material in stock is 11% of the material cost.The cost of placing an order is 15,600 per order.The management of P Ltd. has decided that there should not be more than 40 orders in a year for the raw material Z. Required: (a) (i) Prepare Production budget for Products X and Y (in units) for the year ended 31st March 2025. (ii) Calculate the Economic Order Quantity for Material Z (in kgs).

Suggested Answer and Working Notes:

(i) Production Budget (in units) for the year ended 31st March 2025 Product X Product Y Budgeted sales (units) 28,000 13,000 Add: Increase in closing stock 320 160 No. good units to be produced 28,320 13,160 Post production rejection rate 4% 6% No. of units to be produced 29,500 (28,320 / 0.96) 14,000 (13,160 / 0.94) (ii) Calculation of Economic Order Quantity for Material Z EOQ = √(2DS / C) Annual Demand (D) = (29,500 units × 5 kg) + (14,000 units × 6 kg) = 1,47,500 kg + 84,000 kg = 2,31,500 kg Add: Wastage (10% for X, 5% for Y) For X: 1,47,500 kg / (1 - 0.10) = 1,47,500 / 0.90 = 1,63,888.89 kg For Y: 84,000 kg / (1 - 0.05) = 84,000 / 0.95 = 88,421.05 kg Total Material Z required = 1,63,889 kg + 88,421 kg = 2,52,310 kg Ordering Cost (S) = 15,600 per order Holding Cost (C) = 11% of material cost = 0.11 × ₹ 72 = 7.92 per kg EOQ = √( (2 × 2,52,310 × 15,600) / 7.92 ) EOQ = 31,526.95 kg.

Topics: Unit & Batch Costing, Budgets and Budgetary Control

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