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336       Part 4  |  Product and Price Decisions



                                                  Marginal Analysis

                                             Marginal analysis examines what happens to a firm’s costs and revenues when production
                  fixed costs    Costs that do
                not vary with changes in the   (or sales volume) changes by one unit. Both production costs and revenues must be evalu-
                number of units produced or   ated. To determine the costs of production, it is necessary to identify several types of potential
                sold                      costs.   Fixed costs      do not vary with changes in the number of units produced or sold. For
                                          example, a manufacturer’s rent for a factory does not change because production increases,
                  average fixed cost    The fixed
                cost per unit produced    more employees are hired, or sales go up. Rent may increase, but it is not in relation to produc-
                                          tion or revenue.   Average fi xed cost      is the fixed cost per unit produced and is calculated by
                  variable costs    Costs that vary
                directly with changes in the   dividing fixed costs by the number of units produced.
                number of units produced or          Variable costs      are directly related to changes in the number of units produced or sold. The
                sold                      wages for adding a second shift of workers and the cost of inputs to produce twice as much
                  average variable cost    The   product are variable costs because they increase as production increases. Variable costs are
                variable cost per unit produced    usually held constant per unit. That is, as long as there are no increases in effi ciency, twice
                  total cost    The sum of average   as many workers and twice as many raw materials result in double the production.   Average
                fixed and average variable costs   variable cost     , the variable cost per unit produced, is calculated by dividing the variable costs
                times the quantity produced    by the number of units produced.
                  average total cost    The sum of          Total cost      is the sum of the average fi xed costs and the average variable costs, multiplied
                the average fixed cost and the   by the quantity produced. The   average total cost      is the sum of the average fi xed cost and the
                average variable cost     average variable cost.   Marginal cost (MC)      is the extra cost a fi rm incurs when it produces one
                  marginal cost (MC)    The extra   additional unit of a product.
                cost incurred by producing one                 Table 12.1    illustrates an example of the relationships between various costs. Notice that
                more unit of a product    average fi xed cost declines as output increases. This is because a manufacturer generally gains



                                              Table  12.1    Costs and Their Relationships

                                                                       3                    5
                                                                  Average        4     Average        6
                                                            2      Fixed    Average     Total      Total         7
                                                   1    Fixed      Cost     Variable    Cost       Cost     Marginal
                                            Quantity    Cost              (  2  )    ÷    (  1  )       Cost           (  3  )    +    (  4  )                 (  5  )    ×    (  1  )      Cost
                                                           1       $    40      $    40.00      $    20.00      $    60.00      $    50

                                                                                                                $    10
                                                           2               40              20.00              15.00              35.00              70

                                                                                                                          2

                                                           3               40              13.33              10.67              24.00              72
                                                                                                                         18

                                                           4               40              10.00              12.50              22.50              90

                                                                                                                         20
                                                           5               40              8.00              14.00              22.00              110

                                                                                                                         30

                                                           6               40              6.67              16.67              23.33              140

                                                                                                                         40
                                                           7               40              5.71              20.00              25.71              180
                                                      From Pride/ Ferrell ,  Marketing  2014, 17E. 2014 Cengage Learning.



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