Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Sales $44,000,000
Variable expenses $ 28,600,000
Fixed expenses 7,700,000
To calculate the break-even point in dollars, we need to use the following formula:
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 7,700,000 / [(44,000,000 - 28,600,000)/44,000,000]
Break-even point (dollars)= $22,000,000
Now, we incorporate the desired profit of $9,152,500
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Break-even point (dollars)= (7,700,000 + 9,152,500) /0.35
Break-even point (dollars)= $48,150,000
Finally, the new break-even point in dollars:
Total variable cost= 28,600,000*1.09= 31,174,000
Break-even point (dollars)= 7,700,000 / [(44,000,000 - 31,174,000) / 44,000,000]
Break-even point (dollars)= 7,700,000 / 0.2915
Break-even point (dollars)= $26,415,094.34