A. See correct answer.
B. The first step is to find the current sales volume using the facts given about the current situation. Letting X stand for sales volume, Total Revenue is 10X. Total Variable Cost is 6X. And since Profit is 10% of Total Revenue, and Total Revenue is 10X, Profit is .10(10X), which is equal to X. Therefore, our equation is:
10X - 6X - 12,000 = X
Solving for X:
4X - 12,000 = X
3X - 12,000 = 0
3X = 12,000
X = 4,000
We can prove this answer with a short income statement:
Revenue: $10 × 4,000 $40,000
Variable Cost: $6 × 4,000 24,000
Contribution margin $16,000
Fixed cost 12,000
Profit $ 4,000 which is 10% of total revenue of $40,000
Now that we know the current sales volume is 4,000 units, we can calculate the increased sales volume when it increases by 25%: 4,000 × 1.25 = 5,000 units.
Now, we can create another income statement using a volume of 5,000 units and a sales price of $9, to answer the question:
Revenue: $9 × 5,000 $45,000
Variable Cost: $6 × 5,000 30,000
Contribution margin $15,000
Fixed cost 12,000
Profit $ 3,000
C. See correct answer.
D. See correct answer.