Given the objective function C = 3x - 2y and constraints x ≥ 0, y ≥ 0, 2x + y ≤ 10, 3x +2y ≤ 18, find the maximum value of C. A. 15
B. 0
C. 18
D. 6

The maximum value of C is 15
Step-by-step explanation:
we have
> constraint A
> constraint B
> constraint C
> constraint D
using a graphing tool
The solution area of the constraints in the attached figure
we have the vertices
(0,0),(0,9),(2,6),(5,0)
Substitute the value of x and the value of y in the objective function
(0,0) >
(0,9) >
(2,6) >
(5,0) >
therefore
The maximum value of C is 15

A’b’c’ are the coordinates to the new location of the transformed triangle abc. find the distance between the coordinates points to use for your calculations.

The first one is 2/3the second is 1/160the third is 4/125