Profit Maximization Analysis
The goal of this analysis is to determine the optimal price point for a struggling drink brand to
maximize its total profit. The provided details include a price of $3, demand of 3,500,000 cans,
an elasticity of demand of 2.8, fixed costs of $7,000,000, and variable costs of $0.85 per can.
Given these conditions, we examined various price points to assess their impact on demand,
revenue, cost, and profit.
Methodology:
To maximize profit, we used the following key components:
1. Demand and Elasticity of Demand: We used the price elasticity of demand (2.8) to
predict how demand would change with adjustments in price.
2. Revenue Calculation: Total revenue is calculated as Price × Demand.
3. Cost Calculation: Total cost is computed as Fixed Cost + (Variable Cost per Can ×
Quantity Sold).
4. Profit Calculation: Profit is derived by subtracting Total Cost from Total Revenue.
Results:
At $0.50, the company experiences the highest profit of $7,008,115.45. As the price increases,
demand decreases, but at higher prices, the loss in profit is substantial. At $3.00, while the
demand reaches its lowest point of 3,500,000 cans, the company faces a loss of $525,000.
Conclusion:
The optimal price point for maximum profit is $0.50, where the profit is highest at
$7,008,115.45. Raising the price above this point reduces demand and increases costs at a faster
rate, causing significant losses in profit. Therefore, the best strategy for the company would be to
reduce its price to $0.50 to optimize profitability.