Question 541729: I am kinda slow when working on there problems and have already work them out I am just making sure that I did them right.
Your company would like to know how sales levels affect profits. If too few items are sold, then there is a loss. Even if too many items are sold, however, the company can lose money (likely because of low pricing). It is good to know how many items can be sold for there to be profit.
Functions are very useful in many areas, such as in business to find the profit an organization is making. For example, the following function expresses profit in terms of the number of phones sold by a particular company:
P(x) = –x2 + 110x – 1,000
This function can be used to compute the profit (in thousands of dollars) from producing and selling a certain number, x, of thousands of smartphones.
Compute the following: P(5), P(50), and P(120). an Graph
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! the following function expresses profit in terms of the number of phones sold by a particular company:
P(x) = –x^2 + 110x – 1000
This function can be used to compute the profit (in thousands of dollars) from producing and selling a certain number, x, of thousands of smartphones.
Compute the following: P(5), P(50), and P(120). an Graph
:
P(5) = –x^2 + 110x – 1000
Substitute 5 for x:
P(5) = -5^2 + 110(5) – 1000
P(5) = -25 + 550 - 1000
P(5) = -475, a loss
:
P(50) = –x^2 + 110x – 1000
Substitute 50 for x:
P(50) = –50^2 + 110(50) – 1000
P(50) = -2500 + 5500 - 1000
P(50) = 2000, a profit
:
P(120), you can do this one, you can see on the graph, it will be a loss
:
Graph equation: y = -x^2 + 110x - 1000:
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