A line graph shows number of products sold versus profit per product sold in dollars. The x-axis represents number of products sold, ranging from 0 to 500 in increments of 100. The y-axis shows the profit per product sold in dollars ranging from 0 to 40 in increments of 10. A smooth curve is plotted on the graph that passes through the following approximate points left parenthesis 0 comma 0 right parenthesis, left parenthesis 100 comma 20 right parenthesis, left parenthesis 300 comma 34 right parenthesis, left parenthesis 400 comma 30 right parenthesis, and left parenthesis 500 comma 25 right parenthesis.

Question

The given graph represents the relationship between the profit per product sold versus the total number of products sold in a business model. To achieve the maximum profit per product sold, how many products does this business need to sell?

To achieve the maximum profit per product sold, this business will need to sell products.

Answer 1

To achieve the maximum profit per product sold, you will need to look for the peak of the curve on the graph you described. Based on the approximate points provided:

• At 100 products sold, the profit per product is 20 dollars.
• At 300 products sold, the profit per product is 34 dollars (the highest point).
• At 400 products sold, the profit per product is 30 dollars.
• At 500 products sold, the profit per product is 25 dollars.

The maximum profit per product sold occurs at 300 products sold, where the profit per product reaches 34 dollars.

Therefore, to achieve the maximum profit per product sold, this business will need to sell 300 products.