Consider the following linear programming problem:

Minimize: $20x+30Y$

Subject to: $,2x+4Y800$

$6x+3Y300$

$x,Y0$

$26\mathrm{.}32$

What is the optimum solution to this problem $(x,Y)?$

Multiple Choice

$(50,0)$

$(0,50)$

$(0,100)$

$(400,0)$

$(0,0)$