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

To determine how many Barbies must be produced and sold for the company to achieve profits of S/ 55,000, we can use the following profit formula: Profit = (Selling Price per Unit - Variable Cost per Unit) * Number of Units - Fixed Costs In this case: Selling Price per Unit (S) = S/120 Variable Cost per Unit (VC) = S/20 Fixed Costs (FC) = S/15,000 Desired Profit (P) = S/55,000 Number of Units (N) is what we want to find. Substituting these values into the profit formula: S/55,000 = (S/120 - S/20) * N - S/15,000 First, let's simplify the equation by finding a common denominator for the fractions: S/55,000 = (5S/600 - 30S/600) * N - S/15,000 Now, combine the fractions: S/55,000 = (-25S/600) * N - S/15,000 Next, let's get rid of the fractions by multiplying both sides of the equation by their common denominator, which is 600: 600 * (S/55,000) = 600 * (-25S/600) * N - 600 * (S/15,000) Simplifying further: (S * 600) / 55,000 = (-25S * 600 / 600) * N - (S * 600) / 15,000 Now, simplify the right side of the equation: (600S / 55,000) = (-25S) * N - (600S / 15,000) Now, we have: (600S / 55,000) = -25S * N - (600S / 15,000) To isolate N, we'll start by moving the second term on the right side to the left side of the equation: (600S / 55,000) + (600S / 15,000) = -25S * N Now, combine the fractions: [(600S * 15,000 + 600S * 55,000) / (55,000 * 15,000)] = -25S * N Simplify the left side: [600S * (15,000 + 55,000) / (55,000 * 15,000)] = -25S * N Now, divide both sides by -25S to solve for N: N = [(600S * 70,000) / (55,000 * 15,000)] Now, plug in the values for S: N = [(600 * 70,000) / (55,000 * 15,000)] N ≈ 1.33 Since you can't produce a fraction of a Barbie, you should round up to the nearest whole number. Therefore, you would need to produce and sell approximately 2 Barbies to achieve profits of S/55,000.