10 points

tell me all steps to solve this problem (attachment below)

The maximum is at point 5,0

Step-by-step explanation:

These graphs are set up so that one of the intersection points is going to give you either a maximum or a minimum.

The first thing you have to do is graph the 4 constraints. I use a graphing program like desmos.

Put your 4 equations in from top to bottom. The quadrillateral defined by the intersect points I have labeled and 0,0 define the area that contains the intersect points of the 4 graphs.

Now take the intersect points and show the calculations for C

C = 6x - 4y

Point (0,0)

C = 6*0 - 4*0

C = 0

Point (0,3)

C = 6(0) - 4*3

C = - 12

Point (1.5,3.5)

C = 6*(1.5) - 4*(3.5)

C = 9 - 14

C = - 5

Point (5,0)

C = 6*(5) - 4*(0)

C = 30

The maximum is produced from point 5,0

you have 6 cupcakes

ummm seems that u didnt post the attachement !