Question

Suppose that the feasible region of a maximization LP problem has corners of ( (0,0),(10,0),(5,5) ), and ( (0,7) . If profit is given to be ( $ X+$ 3 Y ) what is the maximum profit the compan?

Answer 1

The maximum profit for the company is $40, which occurs at the corner point (5,5).

Step-by-step explanation:

Given the feasible region of a maximization LP problem with corners at (0,0), (10,0), (5,5), and (0,7), we can determine the maximum profit by evaluating the profit function at each corner point and selecting the corner point with the highest profit.

The profit function in this case is given by $X + 3Y.

Substituting the values of X and Y for each corner point, we find that the maximum profit is $40, which occurs at the corner point (5,5).