Question

Find the maximum value of c=4x+2y2x+2y less than or equal to 103x+y less than or equal to 9

Answer 1

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