Question

Maximize c = 5x 11y subject to 4x 6y ≤ 13 7x 4y ≤ 13 and x ≥ 0, y ≥ 0.

a) Linear programming
b) Calculus
c) Optimization
d) Algebra

Answer 1

To maximize the given objective function c = 5x - 11y subject to linear inequality constraints, we can use linear programming to find the maximum value. By graphing the feasible region and evaluating the objective function at each corner point, the maximum value of c can be determined.

Step-by-step explanation:

The given problem can be solved using linear programming, which is a method for finding the maximum or minimum value of a linear objective function, subject to linear inequality constraints.

In this case, the objective function is c = 5x - 11y, and the constraints are:

1. 4x + 6y ≤ 13
2. 7x + 4y ≤ 13
3. x ≥ 0
4. y ≥ 0

To solve for the maximum value of c, we need to find the values of x and y that satisfy all the constraints and optimize the objective function.

By graphing the feasible region and evaluating the objective function at each corner point, we can determine the maximum value of c.