Find the maximum value of
C = 4x + 2y
Subject to the following constraints:
x > 0
y>0
2x + 2y < 10
3x + y < 9

The maximum value of C is 14

Step-by-step explanation:

we have the following constraints:

----> constraint A

----> constraint B

----> constraint C

----> constraint D

Solve the system of inequalities by graphing

using a graphing tool

The solution is the quadrilateral shaded area

see the attached figure

The vertex of the figure are

(0,0),(0,5),(2,3) and (3,0)

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function C and then compare the results

we have

therefore

The maximum value of C is 14

The maximum value is c=14

Step-by-step explanation:

I hope this helps

I also did the question on acellus

step-by-step explanation:

answer: apothems is your answer

step-by-step explanation: hope u get it right