Polynomial Functions

The demand function for a type of portable radio is given by the model d= 85 - 6x2

, where dis measured in dollars and xis measured in millions of units. The production cost is $25.00 per radio. Given that profit = revenue - costs answer the following parts. (Hint: Revenue is demand times number sold. Costs are productions costs per number sold.)

• Part A: make a equation giving profit as a function of x million radios sold.
• Part B: The company currently produces 3 million radiosand makes a profit of $18,000,000, but would like to scale back production. What lesser number of radios could the company produce to yield the same profit?
• Part C: Give a graph for the profit and label the parts of the graph.