Answer:
B. Company A's cost structure has higher fixed costs than B's.
Explanation:
Let's see the formula for income:
50,000 units x sales price - variable cost x 50,000 - fixed = net income
50,000 (sales - variable) - fixed = net income
At 50,000 both have equal net income.
Also we are given the fact that their sales is the same.
"identical except for cost structure"
So:
![50,000 (S-V_a)-Fixed_a = 50,000 (S-V_b)-Fixed_b](https://tex.z-dn.net/?f=50%2C000%20%28S-V_a%29-Fixed_a%20%3D%2050%2C000%20%28S-V_b%29-Fixed_b)
We work it and remove sales from the equation:
![50,000S-50,000V_a-Fixed_a = 50,000S-50,000V_b-Fixed_b](https://tex.z-dn.net/?f=50%2C000S-50%2C000V_a-Fixed_a%20%3D%2050%2C000S-50%2C000V_b-Fixed_b)
![-50,000Variable_a-Fixed_a = -50,000Variable_b-Fixed_b](https://tex.z-dn.net/?f=-50%2C000Variable_a-Fixed_a%20%3D%20-50%2C000Variable_b-Fixed_b)
At 60,000 units, Company A has a higer income, so the increase of variable cost in company A is lower than company B
The cost of 10,000 more units is all variable cost, if Company A has more income, then their variable are lower.
If variable cost for 10,000 is lower, same applies for the variable cost for 50,000 so we have:
10,000Va < 10,000 Vb
50,000Va < 50,000Vb
So to have equal income at 50,000 units.
Fixed of A > Fixed of B