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Boss Li, a fruit seller, sells a kind of high-grade fruit. If he makes a profit of 10 yuan per kilogram, he can sell 500 kg per day. According to the market survey, if the price of the imported fruit remains unchanged, if the price of the imported fruit increases by 1 yuan per kilogram, the daily sales volume will decrease by 20 kg. Now boss Li wants to make a profit of 6000 yuan per day and at the same time make the customers get benefits. How much yuan should the price of the fruit increase per kilogram I know the equation is (10 + x) x (500-20x) = 6000 But can you give me a detailed analysis, why do you want to do this, what does 10 + X Stand for What does 500-20x stand for What does 20x stand for? Why multiply 20kg by the price increase
Profit = profit per kilogram multiplied by total sales
X is the price increase per kilogram
The original profit per kilogram was 10 yuan, and the price increased by X Yuan to 10 + X Yuan
So 10 + X represents the profit per kilogram of fruit after the price increase
500-20x represents the sales volume when the profit per kilogram reaches 10 + X
We could have sold 500 kg per day, but after the price increase, the sales volume would have been reduced
For every 1 yuan increase in price, the sales volume will be reduced by 20 kg
Therefore, if the price increases by X Yuan, the sales volume will decrease by 20xkg
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