Linear Programming -Practice

Question:

An aeroplane can carry a maximum of 200 passengers. A profit of Rs 1000 is made on each executive class ticket and a profit of Rs 600 is made on each economy class ticket. The airline reserves at least 20 seats for executive class.However, at least 4 times as many passengers prefer to travel by economy class than by the executive class. Determine how many tickets of each type must be sold in order to maximise the profit for the airline. Formulate the LPP and find the maximum profit?

If x represents the number of executive class tickets and y represents the number of economy class tickets, what is the objective function?

Constraint 1

Express an an inequality: "An aeroplane can carry a maximum of 200 passengers"

Select all that apply

Check my answer (3)

Constraint 2

Express as an inequality: The airline reserves at least 20 seats for executive class

Select all that apply

Check my answer (3)

Constraint 3

Express as an inequality: "at least 4 times as many passengers prefer to travel by economy class than by the executive class"

Select all that apply

Check my answer (3)

Write the non-negative restrictions:

Plot the three constraints and non-negative restrictions.

Corner Points

From the graph identify the feasible region and list the corner points. (Use point tool to mark the points of intersection, use Zoom tool to read the points carefully)