scenario 5 and 6:\na shoe store sells 200 pairs of shoes for $50 each. the cost to make each pair is $30…

scenario 5 and 6:\na shoe store sells 200 pairs of shoes for $50 each. the cost to make each pair is $30. calculate the net profit, break - even point, and profit margin.\ncalculate the business:\n● net profit\n● break - even point\n● profit margin\na company makes a net profit of $10,000 from its future sales projections after an investment of $5,000. calculate the return on investment (roi) and determine if the company’s pricing needs adjustment.\ncalculate the business:\n● roi\n● is the business sustainable?\n● does the product need to increase or decrease?
Answer
Scenario 5:
Step1: Calculate Net Profit
Net Profit = (Selling Price per Unit - Cost per Unit) × Number of Units Selling Price per Unit = $50$, Cost per Unit = $30$, Number of Units = $200$ Net Profit = $(50 - 30)\times200=20\times200 = 4000$
Step2: Calculate Break - Even Point
Let the break - even point be $x$ units. At break - even, Total Revenue = Total Cost $50x=30x$ (assuming no fixed costs, if we consider fixed costs formula is $x=\frac{Fixed\ Costs}{Selling\ Price - Cost\ Price}$. But since not given, if we assume cost per unit includes all costs) $50x-30x = 0\Rightarrow x = 0$ (This is an oversimplification, if we assume fixed cost $F = 0$, which is not practical. But if we assume cost per unit is variable cost and there is a fixed cost $F$. Let's assume $F = 0$ for this basic calculation)
Step3: Calculate Profit Margin
Profit Margin = $\frac{Net\ Profit}{Total\ Revenue}\times100%$ Total Revenue = $50\times200=10000$ Profit Margin = $\frac{4000}{10000}\times 100%=40%$
Scenario 6:
Step1: Calculate ROI
ROI = $\frac{Net\ Profit}{Investment}\times100%$ Net Profit = $10000$, Investment = $5000$ ROI = $\frac{10000}{5000}\times100% = 200%$
Step2: Determine Business Sustainability
Since ROI = $200%>0$, the business is generating a return on investment, so it is sustainable in terms of ROI.
Step3: Pricing Adjustment
Since the business is making a profit (ROI is positive), there is no immediate need for a price increase. But if we consider market conditions (not given in the problem), if competitors are lowering prices, the company may need to adjust. But based on the given data (profit and ROI), there is no indication of a need for a price decrease.
Answer:
- Scenario 5:
- Net Profit: $4000$
- Break - Even Point: $0$ (assuming no fixed costs)
- Profit Margin: $40%$
- Scenario 6:
- ROI: $200%$
- Business is sustainable (based on ROI)
- No indication of need for price increase or decrease (based on given data)