can someone help ASAP?
This is College Algebra
This is a free response problem. Type your answer to each part of the problem in the space provided below. Zaida owns a business that sells a video game she designed. The price p (in dollars) and the quantity x sold of the video game obeys the demand equation
p= -1/3x +100,
and the revenue equation
R=px.
Based on this information, Zaida wants to know how many video games she must sell and at what price each to maximize the revenue that the business can generate.
Part 1 Instructions: Using the information given to create a mathematical model for revenue, an equation that you can use to provide Zaida with the information she requested. Be sure to answer the question and to clearly indicate how you arrived at that answer. Show your work! (*Even if using a calculator, show how and why you took the steps you did, not just what buttons you pushed.)
Mathematical model: ______________________________________________________
Maximum number of video games is _________ at $______ each.
Part II Instructions: Zaida’s business manager suggests that she can get more than the maximum revenue if she sells the video games for $70 each. You believe that the business manager is wrong. Use your model to determine if the business manger’s suggestion is reasonable. Explain your results in the context of the problem and be sure to show how you used your model to get those results.
