Yinzer Yards is using Pittsburgh as a test market for a new leaf blower which they...

   

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Yinzer Yards is using Pittsburgh as a test market for a new leaf blower which they plan to sell for $93. Yinzer Yards has rented a temporary distribution center for $2,100 and their equipment fees total $3,120. It costs them $62.24 to produce each leaf blower. Let xx represent the number of leaf blower that Yinzer Yards will produce and sell. (part a - 12 pts) Find the function for the total cost , C(x)C(x), for Yinzer Yards to produce xx leaf blowers. Simplify your answer. C(x)=C(x)= Find the function for the total revenue , R(x)R(x), when Yinzer Yards sells xx leaf blowers. R(x)=R(x)= Find the function for the total profit, P(x)P(x), when Yinzer Yards produces and sells xx leaf blowers. Simplify your answer. P(x)=P(x)%3D (part b- 16 pts) Use the functions above to complete the following sentences. Include units in each blank and round to the nearest cent when appropriate. When 250 leaf blowers are produced and sold, Yinzer Yards will have a total revenue of and have costs totaling. Also, when 250 leaf blowers are produced and sold, the average cost will be and the average profit will be. (part c - 5 pts) Find the break even point and use to complete the following sentence: In order to break-even, Yinzer Yards should produce and sell (include units). (part d - 7 pts) Write a sentence to interpret the marginal profit when 250 leaf blowers are produced and sold. Interpret in the context of the model and use the correct units (the sentence should be about Yinzer Yards and should not use words like slope, line, graph, output, rise, etc.). Yinzer Yards is using Pittsburgh as a test market for a new leaf blower which they plan to sell for $93. Yinzer Yards has rented a temporary distribution center for $2,100 and their equipment fees total $3,120. It costs them $62.24 to produce each leaf blower. Let xx represent the number of leaf blower that Yinzer Yards will produce and sell. (part a - 12 pts) Find the function for the total cost , C(x)C(x), for Yinzer Yards to produce xx leaf blowers. Simplify your answer. C(x)=C(x)= Find the function for the total revenue , R(x)R(x), when Yinzer Yards sells xx leaf blowers. R(x)=R(x)= Find the function for the total profit, P(x)P(x), when Yinzer Yards produces and sells xx leaf blowers. Simplify your answer. P(x)=P(x)%3D (part b- 16 pts) Use the functions above to complete the following sentences. Include units in each blank and round to the nearest cent when appropriate. When 250 leaf blowers are produced and sold, Yinzer Yards will have a total revenue of and have costs totaling. Also, when 250 leaf blowers are produced and sold, the average cost will be and the average profit will be. (part c - 5 pts) Find the break even point and use to complete the following sentence: In order to break-even, Yinzer Yards should produce and sell (include units). (part d - 7 pts) Write a sentence to interpret the marginal profit when 250 leaf blowers are produced and sold. Interpret in the context of the model and use the correct units (the sentence should be about Yinzer Yards and should not use words like slope, line, graph, output, rise, etc.).

Answer rating: 100% (QA)

SOLUTION PartA Total cost variable costxfixed cost Revenue selling pricex Find cost include equipmen... View the full answer