Someone please please help!

  68

Step-by-step explanation:

A graph often provides valuable insight. One is attached.

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Here, you can recognize that the line represented by the objective function has negative slope, so the solution will be found at the point in the feasible region that is farthest from the origin. Increases in both x and y will increase the objective function's value.

There is no upper limit on y except that imposed by the upper limit on x. The upper limit of x is 5, and the corresponding upper limit on y is 19, so the point (x, y) = (5, 19) will be where the objective function is maximized.

  C = 6(5) +2(19) = 30 +38 = 68

The maximum value of C is 68.

6 adults and 9 children went.

a + c = 15

12a + 9c = 153

12(6) + 9(9) = 153

72 + 81 = 153