In 2015, X Company had the following selling price and per-unit variable cost in
ID: 2424687 • Letter: I
Question
In 2015, X Company had the following selling price and per-unit variable cost information:
In 2015, fixed overhead costs were $353,000, and fixed selling and administrative costs were $270,000.
In 2016, there are only two expected changes. Direct material costs are expected to increase by 10% per unit, and fixed selling and administrative costs are expected to increase by $20,000. What must unit sales be in order for X Company to break even in 2016?
Explanation / Answer
COMPUTATION OF COSTS FOR 2016
FIXED COSTS = fixed selling and administrative costs are expected to increase by $20,000
= FIXED OVERHEAD COSTS + FIXED SELLING AND ADMINISTRATIVE COSTS + 20000
= 353000 + 270000 + 20000
= $643000
VARIABLE COSTS = . Direct material costs are expected to increase by 10% per unit
= (DIRECT MATERIAL+10%) + DIRECT LABOUR + VARIABLE OVERHEAD +VARIABLE SELLING AND ADMINISTRATIVE COSTS
= (43.3 + 4.33) + 11.6 + 21.3 + 12.7
= 47.63+ 11.6 + 21.3 + 12.7
= $93.23
CONTRIBUTION PER UNIT = SELLING PRICE - VARIABLE COST
= 152.8 - 93.23
= $59.57
BREAK EVEN SALES = FIXED COST / CONTRIBUTION PER UNIT
= 643000 / 59.57
= 10794 UNITS (APPROX)
Thus X Company must sell 10794 units in order to brek even in 2016.
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