Question
Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?
81
likes403 views
Answer to a math question Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?
Hester
4.8116 Answers
To find the Break-Even point in units, we need to determine the number of units the company needs to sell in order to cover all its costs.
Step 1: Calculate the total variable cost per unit:
Labor costs per unit: $1.40
Material costs per unit: $0.90
Other variable costs per unit: $0.30
Total variable cost per unit = Labor costs + Material costs + Other variable costs = $1.40 + $0.90 + $0.30 = $2.60
Step 2: Calculate the contribution margin per unit:
Selling price per unit: $4.45
Contribution margin per unit = Selling price per unit - Total variable cost per unit = $4.45 - $2.60 = $1.85
Step 3: Calculate the Break-Even point in units:
Fixed cost = $15,000
Contribution margin per unit = $1.85
Break-Even point in units = Fixed cost / Contribution margin per unit = $15,000 / $1.85
Answer: The Break-Even point in units is approximately 8,108 units.
To find the Break-Even point in dollars, we need to multiply the Break-Even point in units by the selling price per unit.
Break-Even point in dollars = Break-Even point in units * Selling price per unit = 8,108 units * $4.45
Answer: The Break-Even point in dollars is approximately $36,135.40.
To find the contribution margin of Buffalo Company, we need to calculate the contribution margin ratio.
Contribution margin ratio = Contribution margin per unit / Selling price per unit = $1.85 / $4.45
Answer: The contribution margin of Buffalo Company is approximately 41.57%.
Step 1: Calculate the total variable cost per unit:
Labor costs per unit: $1.40
Material costs per unit: $0.90
Other variable costs per unit: $0.30
Total variable cost per unit = Labor costs + Material costs + Other variable costs = $1.40 + $0.90 + $0.30 = $2.60
Step 2: Calculate the contribution margin per unit:
Selling price per unit: $4.45
Contribution margin per unit = Selling price per unit - Total variable cost per unit = $4.45 - $2.60 = $1.85
Step 3: Calculate the Break-Even point in units:
Fixed cost = $15,000
Contribution margin per unit = $1.85
Break-Even point in units = Fixed cost / Contribution margin per unit = $15,000 / $1.85
Answer: The Break-Even point in units is approximately 8,108 units.
To find the Break-Even point in dollars, we need to multiply the Break-Even point in units by the selling price per unit.
Break-Even point in dollars = Break-Even point in units * Selling price per unit = 8,108 units * $4.45
Answer: The Break-Even point in dollars is approximately $36,135.40.
To find the contribution margin of Buffalo Company, we need to calculate the contribution margin ratio.
Contribution margin ratio = Contribution margin per unit / Selling price per unit = $1.85 / $4.45
Answer: The contribution margin of Buffalo Company is approximately 41.57%.
Frequently asked questions (FAQs)
Math question: In a circle, if two angles are subtended by the same chord, then they are equal. Prove this theorem.
+
What are the vertical asymmetry, period, and range of f(x) = cot(x)?
+
What is the x-intercept of the logarithmic function y = log₂(x+5)?
+
New questions in Mathematics