A comppany would like to build a new facility and has selected two possible locations. The cost information about each location is shown below.
Location Gamma, Fixed cost = $930,000 per year, Unit variable cost = $94 per unit
Location Delta, Fixed cost = $700,000 per year, Unit variable cost = $118 per uniit
You must help the company to identify the quantity range over which each location provies the lowest cost.
You must show your calculation steps . Use at least 4 decimal in calculation and answer.
if the quantity is smaller than _______ units per year, then location ________ is more economical.
If the quantity is larger than _____ units per year, then location _______ is more econoomical.
Solution:
Location Gamma
Fixed cost = $930,000 per year
Unit variable cost = $94 per unit
Location Delta
Fixed cost = $700,000 per year
Unit variable cost = $118 per unit
Suppose the total units produced = x units
Using the break-even analysis method, at x units, the total cost of both the locations will be equal. That is,
$930,000 + $94 x = $700,000 + $118 x
24 x = 230,000
x = 9583.3333
At x = 9583.3333 units, the total cost of both the locations i.e. Gamma and Delta will be equal.
Answer:
if the quantity is smaller than 9583.3333 units per year, then location Delta is more economical.
If the quantity is larger than 9583.3333 units per year, then location Gamma is more economical.
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