The "feasible region" has vertices (4,5), (4,6), (7,4), and (3,6). If the "objective function" that you are trying to minimize is C = 4x + 2y, what is the minimum value? Write the minimum value, not the point.

Accepted Solution

Answer:The minimum value is 24Step-by-step explanation:we know thatThe "feasible region" has vertices [tex](4,5), (4,6), (7,4),(3,6)[/tex]The objective function is [tex]C=4x+2y[/tex]To determine the minimum value of the objective function, substitute the value of x and the value of y of each vertex in the objective function and then compare the values1) For (4,5)x=4,y=5[tex]C=4(4)+2(5)=26[/tex]2) For (4,6)x=4,y=6[tex]C=4(4)+2(6)=28[/tex]3) For (7,4)x=7,y=4[tex]C=4(7)+2(4)=36[/tex]4) For (3,6)x=3,y=6[tex]C=4(3)+2(6)=24[/tex]thereforeThe minimum value is 24