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10. Below is a linear programming problem. Introduce 2 variables, write the objective function and all of the constraints related to the problem. Then graph the problem to solve. Lastly, fill in the values in the sentence labeled "answer." The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bes can transport 40 students, requires 3 chaperones, and costs $1,200 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $100 to rent. Since there are 400 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 400 students. Since only 36 parents have volunteered to serve as chaperones, the officers must plan to use at most 36 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? a) [1pt] Let statements: b)[3pts] Objective function: c)[1pt] Will the objective function need to be minimired or maximized? d) [4pts] Constraints: e)[8pts] Solve by graphing and using a corner point table: f)(3pts) Answer: The officers should rent buses and vans to minimize the transportation costs. The minimal transportation costs are 10. Below is a linear programming problem. Introduce 2 variables, write the objective function and all of the constraints related to the problem. Then graph the problem to solve. Lastly, fill in the values in the sentence labeled "answer." The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bes can transport 40 students, requires 3 chaperones, and costs $1,200 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $100 to rent. Since there are 400 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 400 students. Since only 36 parents have volunteered to serve as chaperones, the officers must plan to use at most 36 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? a) [1pt] Let statements: b)[3pts] Objective function: c)[1pt] Will the objective function need to be minimired or maximized? d) [4pts] Constraints: e)[8pts] Solve by graphing and using a corner point table: f)(3pts) Answer: The officers should rent buses and vans to minimize the transportation costs. The minimal transportation costs are