Answer: 14
Step-by-step explanation:
Step 1: Graph both equations to find the vertices (see attached):
- The graph shows vertices at: (0, 0), (3, 0), (0, 5) and (2, 3)
Step 2: Input the coordinates of the vertices into the given function (c = 4x + 2y):
- (0, 0): 4(0) + 2(0) = 0
- (3, 0): 4(3) + 2(0) = 12
- (0, 5): 4(0) + 2(5) = 10
- (2, 3): 4(2) + 2(3) = 14
Step 3: Evaluate the value from Step 2 to find the maximum (largest).
- the largest value between {0, 12, 10, 14} is 14
