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Yb提问: 月饼买卖

Ai回答: Step 1: Understand the problem
The problem involves determining the maximum profit that can be achieved by buying and selling mooncakes (a type of pastry traditionally consumed during the Mid-Autumn Festival in East Asia) given certain constraints such as the amount of mooncakes in stock, their total value, and the maximum demand.

Step 2: Identify the constraints and variables
The constraints and variables typically involve the types of mooncakes, their quantities in stock, their total values, and the maximum demand for mooncakes、The goal is to maximize profit by selling the right mix of mooncakes.

Step 3: Determine the approach to solve the problem
To maximize profit, one should prioritize selling the mooncakes that have the highest value per unit since the goal is to get the most value out of the available stock within the demand limit.

Step 4: Outline the steps to solve the problem
1、Sort the mooncakes based on their value per unit in descending order.
2、Start selling the mooncakes with the highest value per unit until the demand is met or the stock is depleted.
3、Calculate the total profit by summing the value of the mooncakes sold.

Step 5: Consider an example to illustrate the steps
Suppose we have 3 types of mooncakes with quantities 100, 200, and 300 units, and their respective total values are $1000, $3000, and $4500、The maximum demand is 400 units.

Step 6: Calculate the value per unit for each type of mooncake
For the first type, value per unit = $1000 / 100 = $10.
For the second type, value per unit = $3000 / 200 = $15.
For the third type, value per unit = $4500 / 300 = $15.

Step 7: Sort the mooncakes by value per unit
Sorted order: Second and Third types ($15/unit) are tied for the highest value, followed by the First type ($10/unit).

Step 8: Sell the mooncakes based on the sorted order until demand is met
First, sell the Second and Third types、Combined quantity = 200 + 300 = 500 units、Since demand is 400 units, we can sell 400 units out of the 500 available from the highest value types.

Step 9: Calculate the profit
We sell 200 units of the Second type and 200 units of the Third type to meet the 400 unit demand.
Profit = (200 * $15) + (200 * $15) = $3000 + $3000 = $6000.

The final answer is: $\boxed{6000}$

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提问时间: 2025-04-24 20:21:34

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