Question

Total profit is defined as total revenue, R(x), minus total cost

Answer 1

Substituting the given equations for R(x) and C(x), we get that:

`P(x)=58x-0.3x^2-4x-15.`

Simplifying the above equation, we get:

`P(x)=54x-0.3x^2-15.`

Now, evaluating the above equation at x=70, we get:

`P(70)=54(70)-0.3(70)^2-15=2295.`

Finally, evaluating C(x) and R(x) at x=70, we get:

`\begin{gathered} C(70)=4(70)+15=295, \\ R(70)=58(70)-0.3(70)^2=2590. \end{gathered}`

Answer:

`\begin{gathered} P(x)=54x-0.3x^2-15, \\ R(70)=2590, \\ C(70)=295, \\ P(70)=2295. \end{gathered}`