Question

Find the maximum of the object function f, subject to the restraints. (i have writte out the problem in a reply)

Answer 1

\[f=15x+25y\]

Restraints
\[3x+4y \ge 60\]
\[x+8y \ge 40\]
\[11x+28y \le 380\]
\[x \ge 0, y \ge0\]

Answer 2

graph the restraints as inequalities and find the "shaded region" so to speak
max will be at one of the intersection points of "shaded region"

Answer 3

http://www.wolframalpha.com/input/?i=plot+3x%2B4y%E2%89%A560%2C++x%2B8y%E2%89%A540%2C++11x%2B28y%E2%89%A4380%2C++x%E2%89%A50%2Cy%E2%89%A50