Suppose that Verizon Wireless has hired you as a consultant to determine what price it should set for calling services. Suppose that an individual's inverse demand for wireless services in the greater Boston area is estimated to be P = 100 − 25Q and the marginal cost of providing wireless services to the area is $1 per minute. What is the optimal two-part price that you would suggest to Verizon?

The two optimal two part price that would be suggested to Verizon is Unit per Fee = $1 and Lump Sum fee or fixed fee = $99

Explanation:

Solution

For us fully maximize profit under two part price It should gives  that amount of wireless service at which P = MC and and also charge Lump sum fee or fixed fee equals to the consumers surplus that consumer will have.

Now,

marginal cost= MC  = 1 and P = 100 - 25Q.

Thus,

P = MC => 100 - 25Q = 1 => Q = 2

Then,

The Consumer surplus is the above area Price of  line which is (iP = 1) and below is the curve of demand

Now,

P = 100, When Q = 0 The Consumer surplus = (1/2)*base*height

= (1/2)*(100 - 1)*2 = 99

Therefore, Fixed fee or The Lump Sum fee = 99

However, the  Optimal two part pricing is denoted by:

The Unit per Fee = $1 and Lump Sum fee or fixed fee = $99

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