how do I solve this problem? Compute the following: P(5), P(50), and P(120). Then, interpret the results.
Graph the function using the desired graphing program.
Discuss and interpret the meaning where the profit function crosses the x-axis.
explaining what that means in terms of profitability.
Find the vertex of this function. What do the x-coordinate and y-coordinate of the vertex of this function represent?
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Verified answer
1. P(5)= -475
P(50)= 2000
P(120)= -2200
2. Can't graph here...
3. The x-intercepts are 100 and 10. This means that you make profit when x is between 10 and 100
4. Vertex is where x=-b/2a or x=55
Vertex = (55, 2025)
This means at x=55, you make 2025
for P(5) you just set x=5 in your equation and evaluate so P(5)= -5^2 + 110*5 - 1000
graph using the points you find
when they profit function crosses the x axis it means it's no longer profitable
vertex is at x=1/50 then plug in to find y
this vertex represents maximum profit
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