Answer:
Maximum value of [tex]C=39[/tex]
Step-by-step explanation:
[tex]C=3x+4y[/tex]
For the above equation the given constraints are:
[tex]x\geq2\\x\leq5\\y\geq1\\y\leq6[/tex]
So, we can see the maximum value for [tex]x[/tex] and [tex]y[/tex] are:
[tex]x=5\\y=6[/tex]
We plugin the maximum values in the given equation:
[tex]C=3(5)+4(6)\\C=(3\times5) +(4\times6)\\C=15+24\\C=39[/tex]
∴ Maximum value of [tex]C=39[/tex]
