Question

Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy seat must be sold and at least 6 deluxe seats must be sold. The maximum number of passengers allowed on each boat is 30 Roland’s Boat Tours makes $40 profit for each economy seat sold and $35 profit for each deluxe seat sold. What is the maximum profit from one tour?

Answer 1

for x economy and y deluxe seats, you want to
maximize p = 40x + 35y
subject to the constraints
x >= 1
y >= 6
x+y <= 30
So proceed as usual, drawing the region and evaluating p at the vertices.