Answer: Variable cost per unit = $15.65
Explanation:
No of unit Sold = 46,000
Total Contribution Required = Total Fixed Cost + profit required
Total Contribution Required = $330,000 + $130,000
Total Contribution Required = $200,000
No of unit Sold = [tex]\frac{Total\ Contribution\ Required}{Sale\ Price - Variable\ cost\ per\ unit}[/tex]
46,000 = [tex]\frac{200,000}{20 - Variable\ cost\ per\ unit}[/tex]
[tex](20 - Variable\ cost\ per\ unit) = \frac{200,000}{46,000}[/tex]
Variable cost per unit = 20 - 4.35
Variable cost per unit = $15.65