math and how you got it please!

A small professional sports franchise has decided to move to a ticket pricing system in which students and non-students (notice we didn't name non-students as "adults"!) are charged different prices. Their marketing department has estimated the demands of these two groups to be represented by the following:

Non-Student Demand:QNon-St. = 24 - PNon-St.

Student Demand:PSt. = 8

You may assume that because student ID's are required both to purchase tickets and enter the arena, reselling tickets between the two groups is not possible.

Student demand is relatively __________ than non-student demand, reflecting, in part, the fact that student's view this good as more of a __________ than do non-students.

Less elastic; luxury

Less elastic; necessity

More elastic; luxury

More elastic; necessity

The MRNon-St. function given below reflects the fact that in order to attract more non-students into the arena, the franchise must lower the price of tickets, if it's charging a single price for them:

MRNon-St. = 24 - 2QNon-St.

Now, however, we can compare the MRNon-St. function to what we already KNOW the MRSt. function to be (Why? Hint: Does the team need to drop price to sell another ticket to students?) in order to motivate the team's profit maximizing ticket pricing strategies here.

Assume the team plans to charge a single price for tickets to students and a single price of tickets to non-students

For any Q < ________, the team will sell only to _________, because for that amount of Q, MR ____________.

6 tickets ; students ; is less than $8 / ticket.

8 tickets ; non-students ; is greater than $8 / ticket

6 tickets ; students ; is greater than $8 / ticket

8 tickets ; non-students ; equals $8 / ticket

Anyadditionaltickets beyond the first ________ will be sold __________, as MR should ___________.

6 ; only to students ; never be lower than $8 / ticket

6 ; only to non-students ; never exceed $8 / ticket

8 ; only to non-students ; never be lower than $8 / ticket

8 ; only to students ; never be lower than $8 / ticket

1.5 / 1.5 pts

This monopolist maximizes profit by selling ________ tickets to non-students and __________ tickets to students.

24; 26

12; 38

12; 12

8; 42

The arena has a capacity of 50 people. Assume the MC of tickets to be zero for any Q less than 50 ; however once capacity has been reached, the MC of another ticket (person) becomes infinite (prohibitive) as the fire marshal essentially shuts down the venue after that point (!). Assume the team maximizes profit:

Total ticket revenue under this profit-maximizing strategy will be _________.

$464

$576

$400

$288

At this profit-maximizing equilibrium, student demand is ___________, while the elasticity of non-student ticket demand is ___________.

Infinitely elastic ; unit elastic

Infinitely inelastic ; unit elastic

Infintiely elastic ; -2

Infinitely inelastic ; -1/2

Given your answer to the previous question, the team charges a greater price to _________ and _____________.

Non-Students ; maximizes total revenue over both groups.

Non-Students ; equalizes marginal revenue across both groups.

Both (a) and (b) are true.

Neither (a) nor (b) is true.

Suppose, now, that the team is considering adopting a two-part pricing (two-part tariff) system for tickets, in which they would charge individuals a fixed fee (seat license) for the rights to purchase tickets at prices they would also set.

The team _______sell seat licenses to both groups, because ________.

Could ; student demand is infinitely elastic.

Could not ; student demand consumer surplus is zero

Could not ; non-student demand consumer surplus is zero

Could ; non-student demand consumer surplus is positive.

If the team pursues its optimal two-part pricing (two-part tariff) system, it will then sell _________ tickets to non-students and _________ tickets to students.

12; 38

24; 26

8; 8

16; 34

The combination of this optimal two-part pricing system and its ability to sell tickets to two different groups of consumers results in total revenues to the team of _________ , of which ___________ is total seat license revenue.

$508 ; $144

$528 ; $128

$520 ; $80

$456 ; $72