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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.

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?
(1 point)
To achieve the maximum profit per product sold, this business will need to sell
products.
Remaining Attempts : 3
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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.

1 answer

To determine the number of products needed to achieve the maximum profit per product sold, we need to analyze the key points described in the graph. The profit per product sold increases as the number of products sold increases, reaching its peak at approximately 34 dollars when 300 products are sold. After this point, the profit begins to decline as more products are sold.

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