Answer Happy

Solve the problem. Make sure to follow the instructions provided in the question. 1) In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. Given R(x) = 60x – 0.4 x2 and C(x) = 3x + 13. Domain for all functions is Os xs 150. Round as needed to the nearest hundredth. a) Find P(x) which is the total profit for producing x widgets. b) Find and state the relationship between the intersection points of R and C and the x-intercepts of P. c) Find the number of widgets that produce the maximum profit. What is the maximum profit? d) Sketch a graph of R, C, and P on the same axis (make sure to find the required points to graph each function). Label the axis and note the region(s) of profit and loss.