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The cost in dollars of producing x skateboards is C(x)=900 18x+0

Math

The cost in dollars of producing x skateboards is C(x)=900 18x+0.7  and the revenue from the sale of x skateboards is R(x)=75x0.8 .  

  1. Find and simplify the expression for the average cost function.  
  2. Find and simplify the expression for the average revenue function.
  3. Find and simplify the expression for the average profit function. 
  4. Find the rate at which the average cost, average revenue and average profit per skateboard are changing when 20 skateboards have been built and sold.
  5. Display separate graphs over appropriate window scales for the average cost, average revenue and average profit functions.

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