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

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.