1. Suppose P = 3x + 4y is the objective function (Profit function) in a linear programming (maximization) problem, where x is the number of units of product A and y is the number of units of product B.

1. What does the coefficient of x represent? How about the coefficient of y? (4 marks)
2. Given the linear programming problem:

x + y 3 Resource 1 and

2x + y 5 Resource 2

1. What is the linear inequality that represents h unit increase in Resource 1? (2 marks)
2. Write the inequality that represents k units of increase in Resource 2. (2 marks)

2. Find the range of values for the coefficient of y in the objective function of question 1, so that the optimal solution remains unchanged. ( 10 marks)