Find the solution of the objective function for problems (a) - (b) below. For each problem, confirm that the optimum satisfies the Kuhn-Tucker conditions. At each solution, describe whether the constraint(s)

Find the solution of the objective function for problems (a) - (b) below. For each problem,

confirm that the optimum satisfies the Kuhn-Tucker conditions. At each solution, describe
whether the constraint(s) is binding.
a) Minimize the function
c = 5x^(2) - 80x + y^(2) - 32y

subject to the constraints
$x,y\geq 0$ and

$x+y\geq 20$
b) Maximize the profit function
$\pi = 50x +10y$ subject to the constraints
$x,y \geq 0$ and
$x-y\leq 3$ and
$5x+2y\leq \leq 20$

Find the solution of the objective function for problems (a) - (b) below. For each-example-1

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Find the solution of the objective function for problems (a) - (b) below. For each problem, confirm that the optimum satisfies the Kuhn-Tucker conditions. At each solution, desc…

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