Solve Application Problem Question 1 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 obey the demand equation p = - 1/3 x + 100. Based on this information, Zaida wants to know how many video games she must sell and at what price each to maximize the R= px 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. Show your work. 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 manager’s suggestion is reasonable.
Solve Application Problem
Question 1
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 obey the demand equation p = - 1/3 x + 100.
Based on this information, Zaida wants to know how many video games she must sell and at what price each to maximize the R= px 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.
Show your work.
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 manager’s suggestion is reasonable.
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