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Sagot :
The total profit after four seasons is 35.0
Function
The functions are given as:
- Revenue function: [tex]t(x) = 5x[/tex].
- Cost function: [tex]r(x) = 1.5x[/tex].
Profit function
The profit function p(x) is calculated using:
[tex]p(x) = t(x) -r(x)[/tex]
So, we have:
[tex]p(x) = 5x -1.5x[/tex]
Evaluate the differences
[tex]p(x) = 3.5x[/tex]
Total Profit
Evaluate the values of the function from x =1 to 4
- [tex]p(1) = 3.5[/tex].
- [tex]p(2) = 7.0[/tex].
- [tex]p(3) = 10.5[/tex].
- [tex]p(4) = 14.0[/tex]
So, the total profit is:
[tex]Total =p(1) + .....+p(4)[/tex]
This gives
[tex]Total =3.5 + 7.0 + 10.5 +14.0[/tex]
[tex]Total =35.0[/tex]
Hence, the total profit after four seasons is 35.0
Read more about profit, cost and revenue at:
https://brainly.com/question/23103804
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