7.2 Contribution
  Contribution is short for “contribution to fixed costs and profits. The idea is that after deducting the variable costs from sales, the figure remaining is the amount that contributions to fixed costs and once fixed costs are covered to profits.
  ● If total contribution exceeds fixed costs, a profit is made
  ● If total contribution exactly equals fixed costs, no profit or loss is made
  ● If total contribution is less than fixed costs, there will be a loss
  Contribution = Sales – Variable cost
  Example 2:
  Variable cost = $6 per unit
  Sales price = $10 per unit
  No opening inventory
  Production = 20000 units
  Fixed cost = $45000
  Required: calculate the contribution and profit, using marginal costing principle, if sales were as follows: 10,000 units; 20,000 units
  10,000 units 15,000 units 20,000 units
  $$$$$$
  Sales         100000            150000      200000
  Opening inventory    0             0         0
  Variable production cost 120,000         120,000     120,000
  Less: value of closing 60,000=(20000-10000)    30000        0
  Inventory (at marginal x $6/unitCosts)
  Variable cost of sales           60,000          90,000     120,000
  Contribution       40,000          60,000     80,000
  Less: fixed cost        45,000          45000     45,000
  Profit (loss)                 (5,000)         15,000     35,000
  Profit(loss) per unit                 (0.5)          1        1.75
  Contribution per unit       4            4         4
  Note:
  ● The profit per unit varies at differing level of sales, because the average fixed overheads cost per unit changes with the volume of output and sales
  ● The contribution per unit is constant at all level of output and sales
  ● The main advantage of contribution information (rather than profit information) I that it is easy to determine by management whether profits or loss will be made at certain sales levels. Therefore, contribution information is more useful for decision making.
  Example 3:
  A company sells a single product for $9. Its variable cost is $4. Fixed costs are currently $70000 per annum and annual sales are 20000 units. There is a proposal to make a change to the product design that would increase the selling price to $10 for the re-designed model with variable cost of $4.5. It is expected that annual sales at this higher price would be 19000 units.
  How would the re-design of the product affect annual profit?
  Solution:
  $                 $
  Sales 20000 x $9             180,000 19,000 x $10          190,000
  Variable cost 20000 x $4       80,000      19,000 x $4.5           85,500
  Contribution            100,000              104,500
  Fixed costs              70,000                70,000
  Profit               30,000                34,500
  Note:
  Changes in the volume of sales, or in sales prices, or in variable costs will all affect profit by altering the total contribution. Marginal costing techniques can be used to help management to assess the likely effect on profits of higher or lower sales volume, or the likely consequences of reducing the sales price of a product in order to increase demand, and so on. The approach to any such analysis should be calculating the effect on total contribution.
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