hockey arena has 1600 seats. When the price of tickets is $15 all tickets are sold. Market research indicates that for every dollar increase in price 60 less tickets will be sold. Determine the optimal ticket price in order to maximize revenue.

The budget for a project on voting trends includes $2800 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 25 interviews for $100. Each graduate student will conduct 29 interviews for $150. Each faculty member will conduct 32 interviews for $200. No more than 15 interviewers can be hired. How many of each type of interviewer should be hired in order to maximize the number of interviews? What is the maximum number of interviews? undergraduate students, graduate students, and faculty members should be hired to maximize the number of interviews. The maximum number of interviews is (Type a whole number.)

Use graphpad and the T calculator: While managing a band, you want to see if your band will sell more merchandise at its shows if the band lead singer take his shirt off during their performances. For the next 18 shows, the band alternates: on the first, third, fifth, etc. shows band integrates a video screen. On the second, fourth, sixth, etc. shows the singer doesnt wear it.   Merch sales per concertgoer, shirt off: 6.45, 2.75, 10.02, 8.33, 7.19, 5.42, 5.03, 7.30, 4.83 Merch sales per concertgoer, shirt on: 4.84, 3.61, 7.93, 4.20, 9.17, 3.13, 7.91, 4.68, 3.37   a. on average how much more merch do concert goers purchase win the lead singer shirt is off round to the nearest cent? b. use a two sample T interval to come up with 90% confidence interval regarding the increase in merch sales with the lead singer’s shirt is off round appropriately to the penny   c.The band is about to tour Canada, and the lead singer, pondering the cold climate, says that he’ll only take his shirt off if…

school is having an sports event. each fake hair cost 10$ and sells at 13$, take away 2inches of table . each candle box cost 4$ and sells at 12$, takes 6inches of table. each golf cap cost 10$ and sells at 24$, and takes away 10 inches of the table. The table is 60inches long and 30inches wide. the total budget is 4000 dollars. How to maximize the profit.