3.5: Review Problems
- Page ID
- 1842
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1. Maximize \(f(x,y)=2x+3y\) subject to the constraints
$$
x\geq0\, ,\quad y\geq0\, ,\quad x+2y\leq2\, ,\quad 2x+y\leq2\, ,
$$
by
a) sketching the region in the \(xy\)-plane defined by the constraints and then checking the values of \(f\) at its corners; and,
b) the simplex algorithm (\(\textit{Hint:}\) introduce slack variables).
Contributor
David Cherney, Tom Denton, and Andrew Waldron (UC Davis)