Ivan runs a small independent movie theatre in Scarborough, which presently attracts $1,300$ customers per week at a ticket price of $$11.$ His customer base comprises $1,100$ adult customers and $200$ seniors. He would like to increase his total revenue by practising price discrimination. He knows that the demand by adults is fairly inelastic and that a change in the admission price of $$1$ would change the quantity by $80$ customers. He also recognizes that the demand by seniors is fairly elastic and a $$1$ change in the price would result in a change of $30$ customers.

$\backslash$table$[[,$Adults,Seniors$],[$Price$,$Quantity,,$\backslash$table$[[$Total$],[$evenue$]],$Quantity,,$\backslash$table$[[$Total$],[$evenue$]]],[$$$6,,$$$,,,$$$,],[7,,,,,,],[8,,,,,,],[9,,,,,,],[10,,,,,,],[11,,,,,,],[12,,,,,,],[13,,,,,,]]$

a$.$ From this information, complete the table above.

b$.$ What is Ivan's present total revenue?

Total revenue: $

c$.$ Should he increase or decrease the price for adults? Should he increase or decrease the price for seniors?

Adults:a$.$ From this information, complete the table above.

b$.$ What is Ivan's present total revenue?

Total revenue: $

c$.$ Should he increase or decrease the price for adults? Should he increase or decrease

the price for seniors?

Adults:

Seniors: $($Click to select$)vv$

d$.$ What price will maximize the total revenue from adult customers?

Adult price: $

e$.$ What price will maximize the total revenue from seniors?

Seniors' price: $

f$.$ What will be the total revenue from both groups?

Total revenue: $

Total revenue from adults: $

Total revenue from seniors: $