The concept of relevant range is potentially relevant for both graphs. However, the question does
3.
Vehicles
Produced
per Month
Tires
Produced
per Month
Fixed Cost
per Month
Unit Fixed
Cost per Vehicle
Unit Variable
Cost per
Vehicle
Unit Total
Cost per
Vehicle
(1) (2) = (1) × 5 (3) (4) = FC ÷ (1) (5) (6) = (4) + (5)
(a) 80 400 $367,040 $367,040 ÷ 80 = $4,588 $2,950 $7,538
The unit cost for 80 vehicles produced per month is $7,538, while for 205 vehicles it is only
2-28 Variable costs, fixed costs, relevant range. Gummy Land Candies manufactures
jaw-breaker candies in a fully automated process. The machine that produces candies was
purchased recently and can make 5,000 per month. The machine costs $6,500 and is depreciated
using straight-line depreciation over 10 years assuming zero residual value. Rent for the factory
space and warehouse and other fixed manufacturing overhead costs total $1,200 per month.
Gummy Land currently makes and sells 3,900 jaw-breakers per month. Gummy Land buys
just enough materials each month to make the jaw-breakers it needs to sell. Materials cost 40¢
per jaw-breaker.
Next year Gummy Land expects demand to increase by 100%. At this volume of materials
purchased, it will get a 10% discount on price. Rent and other fixed manufacturing overhead
costs will remain the same.
Required:
1. What is Gummy Land’s current annual relevant range of output?
2. What is Gummy Land’s current annual fixed manufacturing cost within the relevant range?
What is the annual variable manufacturing cost?
3. What will Gummy Land’s relevant range of output be next year? How, if at all, will total
annual fixed and variable manufacturing costs change next year? Assume that if it needs to
Gummy Land could buy an identical machine at the same cost as the one it already has.
SOLUTION
(20 min.) Variable costs, fixed costs, relevant range.
1. The production capacity is 5,000 jaw breakers per month. Therefore, the current annual
2-5