Misha and Dontavious were asked to solve the following problem using linear programming.
A local school district can operate a large bus for $300 per day. The district needs to arrange transportation for at least 360 students for a field trip and has enough chaperoning have one chaperone per bus for up to 7 buses. Each large bus can hold 60 students and each small bus can hold 45 students. What is the minimum cost for transportation for the field trip?
Misha decided the following represented this situation: Let x=number of large buses. Let y = number if small buses.
Objective Fx:C=300x+45y
Constraints:
200+60y > 360
x + y < 7
x > 0
y > 0
Dontavious decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+200y
Constraints:
60x+45y > 360
X+y < 7
x > 0
Y > 0

(All symbols of < and > have lines under them)

Decide which student set up the correct Objective function and Constraints and using that information, answer the following:

a) What are the vertices for the correct feasible region?

b). What is the minimum cost for transportation for the field trip and how did you arrive at this cost?