X Company has the following data from 2016 and 2017:
2016 | 2017 | |
Total costs | $216,360 | $356,860 |
Units produced | 28,000 | 53,000 |
Expected production in 2018 is 44,600 units. Using the high-low
method with the 2016 and 2017 data to determine the parameters of
the cost function, what are estimated total costs in 2018?
Cost at highest level of activity | 3,56,860.00 |
Cost at Lowest level of activity | 2,16,360.00 |
Highest level of activity | 53,000.00 |
Lowest Level of activity | 28,000.00 |
Variable cost per unit = (356860-216360)/(53000-28000) | |
Variable cost per unit = 140500/25000 | |
Variable cost per unit = $562 | |
Fixed Costs= 356860-53000*5.62 | |
Fixed Costs = $59000 | |
cost for 2018 = Fixed cost + units*variable cost per unit | |
= 59000+(44600*5.62) | |
cost for 2018 = $309652 |
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