The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 56 students requires 6 chaperones, and costs $1,000 to rent. Each van can transport 7 students requires 1 chaperone, and costs $80 to rent. Since there are 672 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 672 students. Since only b4 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 the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs

Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤118 ≤2805 <390.5 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes…

A theater owner has to fill 1,000 seats in her largest theater. She can fit 2 children or 1 adult per seat. Based on this information, which combinations are on the budget constraint?

A school district is buying new furniture for some classrooms. Each classroom must have 28 desks. The furniture company gives a special discount every 50 desks purchased. If the district wants to furnish complete classrooms with having to store any desks, and take full advantage of the discount what is the smallest number of desks it should purchase? How many rooms can be furnished with new desks?

The Cheery Cherry Chair Company makes three types of chairs, the Montegue, the Capulet, and the Verona. Each chair requires assembly, finishing, and a certain amount of wood to make. The assembly area can be used for at most 10 hours per day. To keep him busy, the finishing person needs to work at least 6 hours per day. Producing a Montegue requires 1 hour of assembly, 2 hour of finishing, and 9 board feet of wood. Producing a Capulet requires 1 hour of assembly, 1 hour of finishing, and 9 board feet of wood. Finally, producing a Verona requires 2 hour of assembly, 1 hour of finishing, and 3 board feet of wood. If the company wants to minimize the amount of cherry wood used, how many should they make of each model? (It is possible to complete a fractional part a chair in a given day; in the long run you end up with completed chairs.) Number of Montegues = Number of Capulets = Number of Veronas = How many board feet of cherry wood would be used each day?