Question

Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value
minimize
C=x+3y
Subjectto
x less than equal to 3
y less than equal to 5
x greater then equal to 0
y greater to equal than 0

Answer 1

Step 1: graph your constraints
Step 2: find the corners of the allowed region
Step 3: calculate value of C at each corner
Step 4: chose the one that gave the lowest value