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Unit 11: Variance Analysis




             comparing the standard with actual, the earlier is not at par with later in terms of realities.  Notes
             To incorporate  the realities,  the standards  are tuned  towards the  actual;  makes  the
             comparison meaningful in studying the variance among the both.
          When the total standard quantity of materials is equivalent to Actual quantity of materials:
          From the below example, the ultimate aim of revising the standard is explained as follows:


                 Example: Before the commencement of production process, the standard mix of materials
          for the production of one unit of output included two different mixture of quantities of material
          viz. A&B amounted 70 tons and 30 tons respectively; which formed the 70% and 30% in the
          production of a unit of out put with the current system of material procurement.
          Due to shortage of material A, the firm is required to redesign the material procurement system
          to have an uninterrupted flow of production of one unit of product. In order to meet out the
          shortage of raw material  A, the firm should  replace the  shortage only against the adequate
          supply of material B from the market. The firm should restructure the procurement system of
          material as follows i.e. 60% of material A and 40% material B. The restructurisation is done only
          on the actual  but not  on the standard. While  studying the  variance analysis  in between the
          quantity of materials, standard of 70% of A and 30% of B should be tuned towards the actual 60%
          of A and 40% of B procured during the process.

                  Standard Quantity of Materials         Actual Quantity of Materials
            Material A                               70 tons   Material A                                               60 tons
            Material B                               30 tons   Material B                                                40 tons

          Revised standard quantity of material
                Actual Material = Standard quantity of Material A/B × Total Quantity
                                Total Quantity of Standard Material

          For A = 70/100 × 100 = 70 tons
          For B = 30/100 × 100 = 30 tons
            Revised Quantity of Material
            Revised quantity of Material A = 70 Tons
            Revised quantity of Material B = 30 Tons

          From the above, if the total quantity of standard materials is equivalent to actual quantity of
          materials, the revised quantity of materials will be as same as the standard quantity of materials.

          When the total standard quantity of materials is not equivalent to total actual quantity of
          materials consumed: If the Standard quantity of materials of X and Y are 60 tons and 40 tons
          respectively. The actual quantity of materials 90 tons and 60 tons. The total standard quantity of
          materials and actual quantity of materials amounted 100 tons and 150 tons respectively.

          The revised standard mix of materials of X and Y are as follows:
              60
          X =     × 150 = 90 tons
              100
              40
          Y =     × 150 = 60 tons
              100
          Material Mix Variance = Standard Price (Revised Standard Quantity – Actual Quantity)




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