Question

2 parts for this qiestions please!

The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 49 students, requires 5 chaperones, and costs $1,000 to rent. Each van can transport 7 students, requires 1 chaperone, and costs $120 to rent. Since there are 588 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 588 students. Since only 70 parents have volunteered to serve as chaperones, the officers must plan to use at most 70 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs.

Answer 1

buses. no. of to yo no.of Vans Min Z- 1000 nt 1204. 49 x + 74 < 588 5nty s 70 ny zo 100 0,84) 635) (0,75 (140) 1 -150 - 10. 100 -50 1958 (12) 490+79 2568 points : Common 6,70) (735) Minz at Co, 7o) = (oooco) + 120 (70) (12,0) 8400 cet (7,35) 1000(7)+ (120 235) e 11 200 at (120) 1000 (12) to = 12000 Mina 8400 at 2:0 =70 Busy zo vans = 70