Question

Need help with linear systems

Answer 1

Answer:

The minimum value of C is 20

Step-by-step explanation:

we have

$2x+3y\geq 24$ ----> constraint 1

$4x+y\geq 38$ ----> constraint 2

$x\geq 0$ ----> constraint 3

$y\geq 0$ ----> constraint 4

using a graphing tool

The solution is the shaded area

see the attached figure

To find the minimum value of C evaluate the vertices (9,2) and (12,0) of the solution area in the objective function $C=2x+y$

so

For x=9, y=2 ---> $C=2(9)+2=20$

For x=12, y=0 ---> $C=2(12)+0=24$

therefore

The minimum value of C is 20