Broadway Ticket Club

I need help with maximum and minimum value of open ended?

400 people came last year at a high school winter play. The ticket price was $ 5. This year the Drama Club hopes, enough money to take a Broadway play to earn a trip. They estimate that for every $ 0.50 increase the price, 10 fewer people attend their games. (Determining how much should the tickets in order to maximize the proceeds from this year's) x = # of $ .50 price increases.

, 400 (= 400-10 * 0) Tickets, if x = 0 (price to be sold = $ 5.00 = $ 5.00 + 0.50 * 0), 390 (= 400-10 * 1) Tickets sold 400 when x = 1 (price = $ 5.50 = $ 5.00 + 0.50 * 1) 380 (= – 10 * 2) tickets will be sold, if x = 2 (price = $ 6, 00 = $ 5.00 + 0.50 * 2 Do) you the pattern? If it x price increases of $ 0.50, the number of tickets sold (400 to 10 * x) and admission fee (in dollars) is (5 + 0.50 * x). The total revenue R (in dollars), the number of tickets sold times the ticket price R (x) = (400 – 10x) (5 + 0.5x) your task is now maximize, R.

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