Answer:
Let's first compute the total amount of fixed and variable costs at 10,000 units
first compute the variable cost per unit.
variable cost per unit = total variable costs / total units
= 40,000 + 6,000 / 10,000
= 46,000 / 10,000
= 4.6 per unit
therefore the variable cost per unit is $4.60
Now for the fixed cost at 12,000 units
Variable costs = $55,200
12,000 units x 4,60 per unit
Fixed costs = 20,000
Therefore the variable costs are 55,200 and the fixed costs are 20,000