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##### Profit Function Model Comparison

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**Question**

Question;Profit Function Model;Comparison;Two companies start up at the same time. Company A claims their annual;profits follow a linear model, P(x) = 10x? 7 where x is the number of;units sold and x? 1. Company B claims that their annual profits follow a;radical model, P(x)=15? (x? 1) +;3 or P(x) = 15sqrt(x? 1) + 3, where x is the number of units sold and x?;1. It is your job to investigate the validity of each claim.;1. Choose five values for x to plug into the linear function, P(x) = 10x? 7;and create a table of values.;2. Use the same five x values to plug into the radical function, P(x)=15? x? 1 + 3 or P(x) = 15sqrt(x? 1);+ 3, and create a table of values.;3. Using the table of values from parts 1 and 2 graph both functions. Upload;the graph as an attachment to your post, or paste it directly into the DB using;the Paste as HTML feature or Picture feature of the toolbar.;4. Using the graphs from part 3 compare the profits of each company and;evaluate their claims. Which model seems more realistic, the linear or radical;model, and why?;5. Of the function types you have studied so far?linear, quadratic, radical;or rational?which function type is more likely to represent a real profit;function for a real company? Give a scenario for a specific type of company;and then give justification for why you chose that function type for that type;of company.

Paper#54908 | Written in 18-Jul-2015

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