Maximize the Object Function $z = 4 x + 3 y$

Multiple Choice

Maximize the object function $z = 4 x + 3 y$ subject to the constraints $3 x + y \leq 15,4 x + 3 y \leq 30 , x \geq 0 , \text { and } y \geq 0$ .

A) The maximum value is 24 along the line segment connection $( 0,10 ) \text { and } ( 3,4 )$ .
B) The maximum value is 30 along the line segment connection $( 0,15 ) \text { and } ( 3,6 )$ .
C) The maximum value is 30 along the line segment connection $( 0,10 ) \text { and } ( 3,6 )$ .
D) The maximum value is 24 along the line segment connection $( 0,15 ) \text { and } ( 3,4 )$ .
E) The maximum value is 30 along the line segment connection $( 0,30 ) \text { and } ( 3,6 )$ .