Pricing Strategy F097F0
1. **Problem statement:** Calculate markup, selling price, markdown price, profit/loss, breakeven quantity, and target sales quantity for oranges bought at 4.00 per kg with given expenses and profit margins.
2. **Formulas and rules:**
- Operating expenses = 18% of cost price
- Desired profit margin = 22% of cost price
- Total markup = operating expenses + profit margin
- Selling price = cost price + total markup
- Markdown = 12% of selling price
- Sale price after markdown = selling price - markdown
- Profit or loss = sale price after markdown - cost price - operating expenses
- Breakeven quantity = fixed costs / (sale price after markdown - variable cost per kg)
- Target sales quantity = (fixed costs + target profit) / (sale price after markdown - variable cost per kg)
3. **Calculations:**
**a) Total markup amount per kg:**
Operating expenses = $0.18 \times 4.00 = 0.72$
Profit margin = $0.22 \times 4.00 = 0.88$
Total markup = $0.72 + 0.88 = 1.60$
**b) Selling price per kg including markup:**
Selling price = $4.00 + 1.60 = 5.60$
**2a) Sale price after 12% markdown:**
Markdown amount = $0.12 \times 5.60 = 0.672$
Sale price after markdown = $5.60 - 0.672 = 4.928$
**2b) Profit or loss at markdown price:**
Total cost price including expenses = $4.00 + 0.72 = 4.72$
Profit/Loss = $4.928 - 4.72 = 0.208$
Since this is positive, the store makes a profit of $0.208$ per kg.
**3a) Breakeven quantity:**
Fixed costs = 720
Variable cost per kg = sale price after markdown = 4.928
Contribution margin per kg = sale price after markdown - variable cost per kg = $4.928 - 4.928 = 0$
Since variable cost equals sale price, contribution margin is zero, so breakeven quantity is infinite or undefined.
**Note:** Variable cost per kg should be cost price plus operating expenses = $4.00 + 0.72 = 4.72$
Contribution margin = $4.928 - 4.72 = 0.208$
Breakeven quantity = $720 / 0.208 \approx 3461.54$ kg
**3b) Quantity to meet target profit of 350:**
Target sales quantity = $(720 + 350) / 0.208 = 1070 / 0.208 \approx 5144.23$ kg
**Final answers:**
- Total markup amount per kg = 1.60
- Selling price per kg = 5.60
- Sale price after markdown = 4.928
- Profit per kg at markdown = 0.208
- Breakeven quantity = 3462 kg (rounded)
- Quantity for target profit = 5144 kg (rounded)