Question

fa skating rink rents the rink for parties at $200 if 20 or fewer skaters attend, so that the cost per person is $10 if 20 attend. For each 5 skaters above 20, she reduces The owner the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 20, 30, and 40 skaters attend. No, of skaters Total Revenue Price per Skater 20 $ 30 40 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 20 to 40? The revenue increases The revenue decreases (c) Write the equation that describes the revenue for parties with x more than 20 skaters R(x) (d) Find the number of skaters that will maximize the revenue. skaters

Answer 1

Ca The table that gives the revenue generoled Tf 20, 30 and 40 sKaters attend NO. Of SKaters Price per sKaler TOtal revenue 20 $ 200 30 - C3 ) = $270 40 $ 40(8)- $ 320 Cb Tze mevenue inCYeases as the number of Skaters increases from 20 to 40. Cc The equaton that represents the revenue foi paoities coth e more than 20 Skalers 1s C20+5)C10-0-5x) Ra) RG)=-2-5t 40+ 200 - 5 TO -0 cd) set R a) =0 = The number of skalas that cwiI) maaimi 2e 60 20 +40 20 + 5(8) the Yeveraue 3