Question

Somebody please help me with this question.
Constraints: x ≥ 2
y ≥ 3
x + 2y ≤ 12
Objective function: C = 2x + 5y
What is the maximum value of the objective under the given constraints?
a. 63
b. 29
c. 25
d. 9

Answer 1

You will have to graph the constraints

Answer 2

Can you graph the three constraint inequalities?

Answer 3

i dont know howw

Answer 4

Can you graph lines?

Answer 5

yes

Answer 6

Could you graph x=2, y=3 and x+2y = 12 on the same graph?

Answer 7

i dont think so

Answer 8

graph x =2 by making a vertical line through (2,0)
y=3 by making a horizontal line through (0,3)

Answer 9

the third one by making a slanting line between (12,0) and (0,6)

Answer 10

ok then what

Answer 11

shade the regions to the right of x=2 and above y=3 and bettween these 2 boundaries and the third line..making a rough triangle of shading

Answer 12

okay makes sense

Answer 13

i think its b

Answer 14

atleast thats what i put

Answer 15

this triangle has 3 vertices. Identify them. Then substitute each one of them into the obj function. See which one gives u the maximum

Answer 16

63 :p