Suppose a publishing company estimates that its monthly cost is C ( x ) = 600x^2 + 300x C(x)=600x^2 +300x and its monthly revenue is R ( x ) = − 0.4 x 3 + 700x^2 − 60 0 x + 500 R(x)=−0.4x^3 +700x^2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost. What is the profit function, P(x)?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)