The marketing manager of Fanning Corporation has determined that a market exists for a telephone with a sales price of $20 per unit. The production manager estimates the annual fixed costs of producing between 41,200 and 81,000 telephones would be $330,000. Required Assume that Fanning desires to earn a $130,000 profit from the phone sales. How much can Fanning afford to spend on variable cost per unit if production and sales equal 46,000 phones?

Respuesta :

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