Suppose that the inverse market demand for silicone replacement tips for Sony earbud headphones is p = pN - 0.1Q, where p is the price per pair of replacement tips, pN is the price of a new pair of headphones, and Q is the number of tips per week. Suppose that the inverse supply function of the replacement tips is p = 2 + 0.012 Q. a. The effect of a change in the price of a new pair of headphones on the equilibrium price of replacement tips ( dp/dpN) at the equilibrium is given by nothing (Round your answer to three places.)

Complete Question

The complete question is shown on the first uploaded image

a

   The effect of a change in the price of a new pair of headphones on the equilibrium price of replacement tips ( dp/dpN) is

b

 The value of Q and p at equilibruim is

             and     5

The consumer surplus is  

The producer surplus  is  

Explanation:

      From the question we are told that

           The inverse market demand is  

                The inverse supply function is    

a

The effect of change in the price  is mathematically given as

Now differntiating the inverse market demand function with respect to

We get that  

b

   We are told that $30

        Therefore the inverse market demand becomes

At  equilibrium

So we have

Where is the quantity at equilibrium

Substituting the value of  Q into the equation for the inverse market demand function

                    5

Looking at the equation for we see that

     For  Q =  0

 And  for Q =  250

Hence the consumer surplus is mathematically evaluated as

Substituting value

And

  The  producer surplus is mathematically evaluated as

probably not the "magnets"in the magnet, so to speak, are thought to be electrons orbiting in shells. vurrent loops two sides to the loop