The demand function for a type of portable radio is given by the model d=85−6x2, where d is measured in dollars and x is 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: write an equation giving profit as a function of x million radios sold. part b: the company currently produces 3 million radios and 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.

Part A : The required Profit equation :

Part B : 0.303 million radios the profit became 18 million.

Part C : The graph is attached below.

Step-by-step explanation:

Given : The demand function for a type of portable radio is given by the model , where d is measured in dollars and x is measured in millions of units. The production cost is $25.00 per radio.  

Note: Given that profit = revenue - costs

Revenue is demand times number sold.

Costs are productions costs per number sold.

To find :

Part A: Write an equation giving profit as a function of x million radios sold.

Solution : Let x be the number of radios.

Revenue is demand times number sold

Let the cost of x number of radios is 25x.            

Profit = Revenue - Costs

The required Profit equation :

Part B : The company currently produces 3 million radios and 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?

Solution :  It is shown graphically which is attached in part c

When we scale back production we get that,

When we sold 0.303 million radios the profit became 18 million.

Part C : Give a graph for the profit and label the parts of the graph.

The graph is attached below which shows the profitable radios points.