Answer:
Instructions are listed below
Step-by-step explanation:
Giving the following information:
The company sells 74,000 units for $40 per unit.
The variable production costs are $17.
Fixed costs amount to $840,000.
Of the $17 variable costs, 50 percent are from labor and 25 percent are from materials.
Inflation:
Unit labor costs to rise by 15 percent
Unit materials costs to rise by 10 percent.
Variable overhead costs are expected to increase by 20 percent. Sales prices cannot increase by more than 10 percent.
It is also expected that fixed costs will rise by 10 percent.
New prices:
Direct materials= ($17*0.25)*1.10= $4.675
Direct labor= ($17*0.50)*1.15= $9.775
Manufacturing overhead= (17*0.25)*1.20= $5.1
Total variable cost= $19.55
Total fixed cost= 840000*1.10= $924,000
New sales price= 40*1.10= $44
1) Net profit before inflation:
Sales= 74000*40=$2,960,000
Variable costs= 17*74000= $1,258,000
Contribution margin= $1,702,000
Fixed costs= 840,000
Net profit= $862,000
Now, we have to maintain the level of profit with the new prices
Break-even point= (fixed costs+profit)/(contribution margin)
Break-even point= (924000+862000)/(44-19.55)
Break-even point= 73047 units
Sales= 73047*44= $3,214,068
2) Now, profit must increase by 11%.
net profit= 862000*1.11=$956820
Break-even point= (fixed costs+profit)/(contribution margin)
Break-even point= (924000+956820)/(44-19.55)
Break-even point= 76925.15units
Sales= $3,384,706.6
3)Now, Q=74000
net profit= 862000*1.11=$956820
Break-even point= (fixed costs+profit)/(contribution margin)
Break-even point= (924000+956820)/(P-19.55)
74000=(924000+956820)/(P-19.55)
74000P- 1446700= 1880820
P=(1880820+1446700)/74000
P=$44.966486