Answer:
[tex]P(x) = 16x - 100 - 0.1x^2[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 46x[/tex]
[tex]C(x) = 100 +30x +0.1x^2[/tex]
Required
Determine the profit function
This is calculated as follows:
[tex]P(x) = R(x)- C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 46x - (100 + 30x + 0.1x^2)[/tex]
Open bracket
[tex]P(x) = 46x - 100 - 30x - 0.1x^2[/tex]
Collect like terms
[tex]P(x) = 46x - 30x - 100 - 0.1x^2[/tex]
[tex]P(x) = 16x - 100 - 0.1x^2[/tex]
