For the following project cost location and completion year

For the following project cost, location and completion year calculate the adjusted cost for July 2013 using the City Cost Indices and Historical Cost Indices. Round answer according to nearest dollar. Total project cost was S12,350,000, the propect location was Fort Wayne, Indiana, the project completion year was 2004 New project location is Lansing, Michigan

In 2004 = $143.7, In 2013 = $201.2, Fort Wayne, Indiana = $89.5, Lansing, Michigan = 97.3

Solution

The cost per unit is commonly derived when a company produces a large number of identical products. The cost is derived from the variable costs and fixed costs incurred by a production process, divided by the number of units produced.Variable costs, such as direct materials, vary roughly in proportion to the number of units produced, though this cost should decline somewhat as unit volumes increase, due to greater purchasing discounts. Fixed costs, such as building rent, should remain unchanged no matter how many units are produced, though they can increase as the result of additional capacity being needed (known as a step cost, where the cost suddenly steps up to a higher level once a specific unit volume is reached).

Within these restrictions, then, the cost per unit calculation is:

(Total fixed costs + Total variable costs) / Total units produced

The cost per unit should decline as the number of units produced increases, primarily because the total fixed costs will be spread over a larger number of units (subject to the step costing issue noted above). Thus, the cost per unit is not constant.

For example, ABC Company has total variable costs of $50,000 and total fixed costs of $30,000 in May, which it incurred while producing 10,000 widgets. The cost per unit is:

($30,000 Fixed costs + $50,000 variable costs) / 10,000 units = $8 cost per unit

In the following month, ABC produces 5,000 units at a variable cost of $25,000 and the same fixed cost of $30,000. The cost per unit is:

($30,000 Fixed costs + $25,000 variable costs) / 5,000 units = $11/unit