Question

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

Answer 1

Answer:
The maximum value of C is 15
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