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Unit 4: Cost Volume Profit Analysis




               Variable costs are allocated to products as 100% of wages.                       Notes
               Selling price      X      ` 20
                                  Y      ` 16
               Sales mixtures:

               (a)  1,000 units of product X and 2,000 units of product Y,
               (b)  1,500 units of product X and 1,500 units of product Y,
               (c)  2,000 units of product X and 1,000 units of product Y.
               Solution:

               (i)  Statement of Marginal Cost:
                                                                Type of Products
                                                             X (`)            Y (`)
                    Materials                                 10               9

                    Wages                                     3                2
                    Variable cost (100% of wage)              3                2

                                             Marginal Cost    16               13
                    Selling price                             20               16
                    Less: Marginal cost                       16               13

                                              Contribution    4                3
               (ii)  Product Mix Choice:

                              Particulars            (a) `        (b) `       (c) `
                     Total sales                     52,000       54,000       56,000
                                                                                   (1)
                                                          (1)
                                                                      (1)
                                                                                   (2)
                                                                      (2)
                                                          (2)
                     Less : Marginal cost            42,000       43,500       45,000
                                      Contribution    10,000       10,500       11,000
                     Less : Fixed cost                 2,000        2,000        2,000
                                           Profit      8,000        8,500        9,000

                    Therefore, sales mixture (c) will give the highest profit and as such, mixture (c) can
                    be adopted.
                    Working notes:
                    (1)  (1,000×20 + 2,000×16) = 52,000, (1,500×20 + 1,500×16) = 54,000, and (2,000× 20 +
                         1,000×16) = 56,000
                    (2)  (1,000×16 + 2,000×13) = 42,000, (1,500×16 + 1,500×13) = 43,500, and (2,000× 16 +
                         1,000×13) = 45,000
          4.   Decision to Accept a Bulk Order: Large scale purchasers may demand products at less than
               the market price. A decision has to be taken now whether to accept the order or to reject it.
               By reducing the normal sales price, the volume of output and the sales can be increased. If
               the sales price is below the total cost, rejection of the order is aimed at.






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