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Profit Maximization Analysis

The analysis identifies the optimal price point for a struggling drink brand to maximize profit, which is determined to be $0.50, yielding a profit of $7,008,115.45. At higher prices, demand decreases significantly, leading to substantial losses, with a loss of $525,000 at the current price of $3.00. Therefore, the recommended strategy is to lower the price to $0.50 to enhance profitability.
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0% found this document useful (0 votes)
15 views2 pages

Profit Maximization Analysis

The analysis identifies the optimal price point for a struggling drink brand to maximize profit, which is determined to be $0.50, yielding a profit of $7,008,115.45. At higher prices, demand decreases significantly, leading to substantial losses, with a loss of $525,000 at the current price of $3.00. Therefore, the recommended strategy is to lower the price to $0.50 to enhance profitability.
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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.

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