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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.
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To achieve the maximum profit per product sold, this business will need to sell 300 products.
To find the number of products the business needs to sell to achieve the maximum profit per product sold, we need to look for the highest point on the graph. In this case, the highest point is where the smooth curve reaches its peak.
Looking at the given graph, we can see that the curve starts at (0,0) and then gradually increases before reaching its peak at (300,34). After reaching the peak, the curve starts decreasing.
Therefore, the number of products the business needs to sell to achieve the maximum profit per product sold is 300.
To find the maximum profit per product sold, we need to analyze the shape of the graph.
Looking at the graph, we can see that the profit per product sold initially increases as the number of products sold increases. However, after a certain point, the profit per product sold starts to decrease.
The maximum profit per product sold is achieved when the curve reaches its highest point. Based on the given information, the curve reaches its highest point at approximately (300, 34).
Therefore, to achieve the maximum profit per product sold, this business needs to sell approximately 300 products.