A regional flight has first class passengers and of economy passengers. x =
number of economy passengers and y = number of first class passengers
The plane has at least 20 economy passengers
The plane has at least 10 first class passengers
The plane has 2 first class passengers for every 1 economy for a total of
no more than 100 passengers.
a. Find the inequalities
b. The profit made by the airline for each economy passenger is $90 and for
each first class passenger is S200. What is the maximum profit the
company can make?
Please show us your efforts to solve your previous problems. Do not post any additional problems until you've added your input into the previous posts.
actually i have been trying for an hour but i cant solve them so dont judge to quickly
To solve this problem, we need to set up inequalities based on the given conditions and then find the maximum profit.
a. Inequalities:
1. The plane has at least 20 economy passengers: x ≥ 20
2. The plane has at least 10 first-class passengers: y ≥ 10
3. The plane has 2 first-class passengers for every 1 economy passenger, with a total of no more than 100 passengers: y = 2x and x + y ≤ 100
b. To calculate the maximum profit, we need to consider the number of economy and first-class passengers.
Let's assume x1 represents the number of economy passengers and y1 represents the number of first-class passengers.
The profit made by the airline from each economy passenger is $90, so the total profit from economy passengers is 90*x1.
The profit made by the airline from each first-class passenger is $200, so the total profit from first-class passengers is 200*y1.
Therefore, the maximum profit the company can make is given by the expression:
Total Profit = 90*x1 + 200*y1
To find the maximum profit, we need to find the values of x1 and y1 that satisfy all the given conditions and maximize the expression for total profit.
We can solve this problem using linear programming techniques or graphical methods to find the maximum profit.