Ivan runs a small independent movie theatre in Scarborough, which presently attracts $1200$ customers per week at a ticket price of $\backslash (\backslash$$ $8\backslash ).$ His customer base comprises $1000$adult customers and $200$ seniors. He would like to increase his total revenue by practising price discrimination. He knows that the demand by adults is fairly inelastic and that a change in the admission price of $\backslash (\backslash$$ $1\backslash )$ would change the quantity by $80$ customers. He also recognizes that the demand by seniors is fairly elastic and a $\backslash (\backslash$$ $1\backslash )$ change in the price would result in a change of $50$ customers. a$.$ From this information, complete the table above. b$.$ What is Ivan's present total revenue? Total revenue: $\backslash (\backslash$$ $\backslash )$ c$.$ Should he increase or decrease the price for adults? Should he increase or decrease the price for seniors? Adults: Seniors: d$.$ What price will maximize the total revenue from adult customers?