Equilibrium Price: Skateboards   The demand for your factory-made skateboards, in weekly sales, is  q = −6p + 50  if the selling price is $p. If you are selling them at that price, you can obtain  q = 4p − 30  per week from the factory. At what price should you sell your skateboards so that there is neither a shortage nor a surplus? (Round your answer to the nearest cent.)

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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Equilibrium Price: Skateboards   The demand for your factory-made skateboards, in weekly sales, is 
q = −6p + 50
 if the selling price is $p. If you are selling them at that price, you can obtain 
q = 4p − 30
 per week from the factory. At what price should you sell your skateboards so that there is neither a shortage nor a surplus? (Round your answer to the nearest cent.)
Expert Solution
Step 1

The demand for your factory made skateboard, in weekly sales, is qd = -6p + 50

If you are selling them at that price,

           qs = 4p - 30

Where $p is the selling price.

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