The maximized value of the function is (c) 119/2
Maximization problem
Maximization problems are used to determine the optimal solution of a linear programming model
Objective function
The objective function is given as:
[tex]P(x,y) = 11x + 10y[/tex]
Constraints
The constraints are given as:
[tex]22x + 2y \le 68[/tex]
[tex]8x + 16y \le 68[/tex]
[tex]x,y\ge 0[/tex]
Graph
See attachment for the graph of the constraints
From the graph, the optimal solution is: (2.83, 2.83)
So, the maximized value is:
[tex]P(x,y) = 11x + 10y[/tex]
[tex]P =11 \times 2.833 + 10 \times 2.833[/tex]
[tex]P =59.493[/tex]
Approximate
[tex]P =59.5[/tex]
Rewrite as a fraction
[tex]P =\frac{119}{2}[/tex]
Hence, the maximized value of the function is (c) 119/2
Read more about maximization problem at:
https://brainly.com/question/16826001
