A city's commuter system has three zones covering the regions described. Zone 1 covers people living within three miles of the city center. Zone 2 covers those between three and seven miles from the center, and Zone 3 covers those over seven miles from the center.

The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 ​students, requires 7 ​chaperones, and costs $1300 to rent. Each van can transport 8 ​students, requires 1​ chaperone, and costs ​$90 to rent. Since there are 720 students in the senior class that may be eligible to go on the​ trip, the officers must plan to accommodate at least 720 students. Since only 84 parents have volunteered to serve as​ chaperones, the officers must plan to use at most 84 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation​ costs? What are the minimal transportation​ costs?

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.  Because Polly is registering early, she has 16 choices for her section of Statistics, 20 choices for her section of Composition, and 11 choices for her section of Ethics.  From how many possible schedules can Polly choose? (You may presume that none of these sections interfere with each other)

The Gem City Paper Company produces rolls of paper of various types for its customers. One type is produced in standard rolls that are 50 inches wide and 100 yards long. Customers of this type of paper order rolls that are 100 yards long but can have any of the widths 12, 15, 25, 30, and 40 inches. In a given week, Gem City Paper waits for all orders and then decides how to cut its 50-inch rolls to satisfy the orders. The weekly number of orders for each roll width is provided in the table below. Each week this company must decide how to cut its rolls in the most economical way to meet its orders. Specifically, it wants to produce and cut as few rolls as possible. Formulate and solve an IP model to help Gem City Paper find the best way to meet all weekly customer demands.  (Hint: list all the feasible patterns that can be used to cut a 50-inch roll of paper).   Width 12 15 25 30 40 Requirement 40 30 20 20 20

please assist.

For problems 11 and 12, select the most representative sample of the population of interest.11) A researcher wishes to determine the average number of text messages per month sent by high school students who have cell phones.A) Ask a random sample of 100 students how many text messages they send.B) Ask a random sample of 100 students with cell phones how many text messages they send.C) Interview 100 students in the mall who are seen talking on their cell phones.D) Randomly select the cell phone records of 100 high school students.

The registrar of a university produced a circle chart showing enrollment in the various schools in the university. © 2020 StrongMind. Created using GeoGebra. 22% 33% Nursing 10% 45% Engineering 22% Business 15% Performing Arts 4% What percent of students are not enrolled in the School of Arts and Sciences or the School of Engineering? 67% Journalism 4% Arts and Sciences 45%

Part 3: Create a visual of your model- Use what you found in parts 1 and 2. Use smiley face stickers for the 30 people and the 100 gold star stickers for the wealth. Asia North America Europe North America South America Europe Africa Oceania Antarctica South America Africa Oceania 57 52

Camp Rainbow offers overnight summer camp programs for children ages 10 to 14 every summer during June and July. Each camp session is one week and can accommodate up to 200 children. The camp is not coed, so boys attend during the odd-numbered weeks and girls attend during the even-numbered weeks. While at the camp, participants make crafts, participate in various sports, help care for the camp's resident animals, have cookouts and hayrides, and help assemble toys for local underprivileged children. The camp provides all food as well as materials for all craft classes and the toys to be assembled. One cabin can accommodate up to 10 children, and one camp counselor is assigned to each cabin. Three camp managers are on-site regardless of the number of campers enrolled. Following is the cost information for Camp Rainbow's operations last summer: Number of Cost to Run Camp $ 8,340 9,310 11,590 13,960 Week Campers 106 116 142 174 126 160 186 192 1 2 3 4 5 6 7 8 9,760 12,060 13,800 13,070…

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.  Because Polly is registering early, she has 13 choices for her section of Statistics, 15 choices for her section of Composition, and 20 choices for her section of Ethics.  From how many possible schedules can Polly choose?