The girls' toy company “Barbie fashion” has fixed costs worth 15,000 and a variable cost of 20 per unit; Furthermore, each barbie sells for 120. How many barbies must be produced and sold for the company to achieve profits of 55,000?

Let's begin by setting up the profit equation: Profit = Revenue - Total Cost We know that the fixed cost is 15,000 and the variable cost is 20 per unit. Let's represent the number of units produced as "x". Total Cost = Fixed Cost + Variable Cost * Number of Units Produced Total Cost = 15,000 + 20x We also know that the revenue per unit is 120. Revenue = Price per Unit * Number of Units Produced Revenue = 120x Substituting these values into the profit equation, we get: Profit = Revenue - Total Cost Profit = 120x - (15,000 + 20x) Profit = 100x - 15,000 We want to find the number of units produced, represented as "x", that will give us a profit of 55,000. 55,000 = 100x - 15,000 70,000 = 100x x = 700 Therefore, the company must produce and sell 700 barbies to achieve profits of 55,000.