\n Change\n <\/td> | \n 50\n <\/td> | \n 300\n <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n Variable cost per unit= Change in expense\/ Change in Output<\/p>\n\n\n\n Variable cost per unit= 300\/50= Rs.6<\/p>\n\n\n\n In month of July<\/p>\n\n\n\n Variable Expense= 350*6= Rs. 2,100<\/p>\n\n\n\n Fixed Expense= 3,100-2,100= Rs.1, 000<\/p>\n\n\n\n This method of segregating semi-variable costs is easy but\nnot scientific and accurate.<\/p>\n\n\n\n 2.RANGE METHOD:<\/strong><\/em> This method is also known as High and Low Points method. Under this method, the amount of expense at the highest and lowest levels are compared and related to output attained at those levels. As the amount of fixed overheads remains the same, the change in indirect cost is due to the variable portion.<\/p>\n\n\n\nVARIABLE COST PER UNIT= Change in amount of expense\/ Change in output. <\/em><\/strong><\/p>\n\n\n\nEXAMPLE:<\/strong> Segregate semi-variable costs as per Range method: <\/p>\n\n\n\n\n PERIOD\n <\/td> | \n OUTPUT\n <\/td> | \n SEMI-VARIABLE OVERHEAD\n <\/td><\/tr> | \n JULY\n <\/td> | \n 350\n <\/td> | \n 3,100\n <\/td><\/tr> | \n AUGUST\n <\/td> | \n 420\n <\/td> | \n 3,520\n <\/td><\/tr> | \n SEPTEMBER\n <\/td> | \n 400\n <\/td> | \n 3,400\n <\/td><\/tr> | \n OCTOBER\n <\/td> | \n 430\n <\/td> | \n 3,580\n <\/td><\/tr> | \n NOVEMBER\n <\/td> | \n 380\n <\/td> | \n 3,280\n <\/td><\/tr> | \n DECEMBER\n <\/td> | \n 270\n <\/td> | \n 2,620\n <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n SOLUTION:<\/p>\n\n\n\n\n PERIOD\n <\/td> | \n OUTPUT\n <\/td> | \n SEMI-VARIABLE OVERHEAD\n <\/td><\/tr> | \n OCTOBER (HIGHEST)\n <\/td> | \n 430\n <\/td> | \n 3,580\n <\/td><\/tr> | \n DECEMBER (LOWEST)\n <\/td> | \n 270\n <\/td> | \n 2,620\n <\/td><\/tr> | \n DIFFERENCE OR CHANGE\n <\/td> | \n 160\n <\/td> | \n 960\n <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n VARIABLE COST PER UNIT= Change in amount of expense\/ Change\nin output. <\/p>\n\n\n\n VARIABLE COST PER UNIT= 960\/160= Rs. 6 per unit.<\/p>\n\n\n\n Overhead= 430*6= Rs. 2,580<\/p>\n\n\n\n Fixed Portion= 3,580-2,580= Rs. 1,000<\/p>\n\n\n\n 3.EQUATION METHOD: <\/strong><\/em>Under this method, variable and fixed portions of overhead are ascertained by means of straight line equation. The straight line equation is:<\/p>\n\n\n\nY= mx<\/em>+ C<\/p>\n\n\n\nWhere Y= Total semi-variable cost<\/p>\n\n\n\n C= Fixed costs included in semi-variable costs<\/p>\n\n\n\n m<\/em>= Variable cost\nper unit<\/p>\n\n\n\nx<\/em>= Output or\nnumber of units. <\/p>\n\n\n\nEXAMPLE:<\/strong><\/p>\n\n\n\n\n PERIOD\n <\/td> | \n OUTPUT\n <\/td> | \n SEMI-VARIABLE OVERHEAD\n <\/td><\/tr> | \n JULY\n <\/td> | \n 350\n <\/td> | \n 3,100\n <\/td><\/tr> | \n AUGUST\n <\/td> | \n 420\n <\/td> | \n 3,520\n <\/td><\/tr> | \n SEPTEMBER\n <\/td> | \n 400\n <\/td> | \n 3,400\n <\/td><\/tr> | \n OCTOBER\n <\/td> | \n 430\n <\/td> | \n 3,580\n <\/td><\/tr> | \n NOVEMBER\n <\/td> | \n 380\n <\/td> | \n 3,280\n <\/td><\/tr> | \n DECEMBER\n <\/td> | \n 270\n <\/td> | \n 2,620\n <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n SOLUTION:<\/p>\n\n\n\n Taking the figures of July and August<\/p>\n\n\n\n July: 3,100=350m+C\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026..(i)<\/p>\n\n\n\n August: 3,520= 420m+ C\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026.(ii)<\/p>\n\n\n\n Subtracting (i) from (ii) 420= 70m<\/p>\n\n\n\n M=420\/70= Rs.6 per unit<\/p>\n\n\n\n Putting the value of \u2018m\u2019 in equation (i)<\/p>\n\n\n\n 3,100= 350*6+ C<\/p>\n\n\n\n 3,100= 2,100+C<\/p>\n\n\n\n Hence, C= 3,100-2,100= Rs. 1,000 (Fixed Cost)<\/p>\n\n\n\n 4.AVERAGE METHOD:<\/em><\/strong> Under this method of segregation of fixed and variable elements is made by first taking the average of two selected groups and then applying the range method or equation method, as the case may be. <\/p>\n\n\n\nEXAMPLE:<\/strong><\/p>\n\n\n\n\n PERIOD\n <\/td> | \n OUTPUT\n <\/td> | \n SEMI-VARIABLE OVERHEAD\n <\/td><\/tr> | \n JULY\n <\/td> | \n 350\n <\/td> | \n 3,100\n <\/td><\/tr> | \n AUGUST\n <\/td> | \n 420\n <\/td> | \n 3,520\n <\/td><\/tr> | \n SEPTEMBER\n <\/td> | \n 400\n <\/td> | \n 3,400\n <\/td><\/tr> | \n OCTOBER\n <\/td> | \n 430\n <\/td> | \n 3,580\n <\/td><\/tr> | \n NOVEMBER\n <\/td> | \n 380\n <\/td> | \n 3,280\n <\/td><\/tr> | \n DECEMBER\n <\/td> | \n 270\n <\/td> | \n 2,620\n <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n SOLUTION:<\/p>\n\n\n\n\n \n <\/td> | \n AVERAGE OUTPUT\n <\/td> | \n AVERAGE SEMI-VARIABLE OVERHEAD\n <\/td><\/tr> | \n First two methods\n (July and August)\n <\/td> | \n 385\n (350+420)\/2\n <\/td> | \n 3,310\n (3,100+3,520)\n <\/td><\/tr> | \n Last two months\n <\/td> | \n 325\n (380+270)\/2\n <\/td> | \n 2,950\n (3,280+2,620)\/2\n <\/td><\/tr> | \n Change\n <\/td> | \n 60\n <\/td> | \n 360\n <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n Variable overhead per unit= Change in amount\/ Change in\noutput<\/p>\n\n\n\n Variable overhead per unit= 360\/60= Rs.6 per unit.<\/p>\n\n\n\n Total Overhead= 3,310<\/p>\n\n\n\n Less:<\/em><\/strong> Variable Overhead= (2,310)<\/p>\n\n\n\nFixed Overhead= 1,000<\/p>\n\n\n\n The result obtained under this method may not be accurate.<\/p>\n\n\n\n 5.GRAPHICAL METHOD:<\/em><\/strong> Under this method, the portion of variable and fixed overheads are ascertained by plotting the amounts of semi-variable or semi-fixed overheads incurred at various level of activity on graph paper and drawing the \u2018line of best fit\u2019. <\/p>\n\n\n\nUnder the graphical method, volume of output is drawn on horizontal axis and semi-variable expenses on vertical-axis. Expenses corresponding to each volume are plotted on the graph paper and a straight line, \u2018the line of best fit\u2019 is drawn through the points plotted. This straight line represents the \u2018total cost line.\u2019 The point where the straight line intersects the vertical-axis is taken to be the amount of fixed expenses. <\/p>\n\n\n\n A parallel line from the intersecting point to the amount of fixed expenses. A parallel line from the intersection point to the horizontal axis gives the \u2018fixed cost line\u2019. Thereafter, the ascertainment of variable cost can be made by means of comparison of fixed cost and total cost.<\/p>\n\n\n\n 6.LEAST SQUARE METHOD: <\/em><\/strong>Under this method, segregation of fixed and variable elements of semi-variable overhead is made by finding out a \u2018line of best fit\u2019 for a number of observations with the help of statistical methods:<\/p>\n\n\n\nY= mx<\/em>+ C<\/p>\n\n\n\nWhere Y= Total semi-variable cost<\/p>\n\n\n\n C= Fixed costs included in semi-variable costs<\/p>\n\n\n\n m<\/em>= Variable cost\nper unit<\/p>\n\n\n\nx<\/em>= Output or\nnumber of units. <\/p>\n\n\n\nEXAMPLE:<\/strong><\/p>\n\n\n\n\n PERIOD\n <\/td> | \n OUTPUT\n <\/td> | \n SEMI-VARIABLE OVERHEAD\n <\/td><\/tr> | \n JULY\n <\/td> | \n 350\n <\/td> | \n 3,100\n <\/td><\/tr> | \n AUGUST\n <\/td> | \n 420\n <\/td> | \n 3,520\n <\/td><\/tr> | \n SEPTEMBER\n <\/td> | \n 400\n <\/td> | \n 3,400\n <\/td><\/tr> | \n OCTOBER\n <\/td> | \n 430\n <\/td> | \n 3,580\n <\/td><\/tr> | \n NOVEMBER\n <\/td> | \n 380\n <\/td> | \n 3,280\n <\/td><\/tr> | \n DECEMBER\n <\/td> | \n 270\n <\/td> | \n 2,620\n <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n SOLUTION:<\/p>\n\n\n\n Taking the figures of July and August<\/p>\n\n\n\n July: 3,100=350m+C\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026..(i)<\/p>\n\n\n\n August: 3,520= 420m+ C\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026.(ii)<\/p>\n\n\n\n Subtracting (i) from (ii) 420= 70m<\/p>\n\n\n\n M=420\/70= Rs.6 per unit<\/p>\n\n\n\n Putting the value of \u2018m\u2019 in equation (i)<\/p>\n\n\n\n 3,100= 350*6+ C<\/p>\n\n\n\n 3,100= 2,100+C<\/p>\n\n\n\n Hence, C= 3,100-2,100= Rs. 1,000 (Fixed Cost)<\/p>\n\n\n\n |
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