SOLUTION: Which point gives the minimum value for P = 3x + 2y and lies within the system of restrictions? ( < all of them are equal or greater than but i just dont kno how to do that o

Question 176633: Which point gives the minimum value for P = 3x + 2y and lies within
the system of restrictions?

( < all of them are equal or greater than but i just dont kno how to do that on here)
1 < x < 6
2 < y < 5
x + y < 10

A. (1, 2) B. (0, 0) C. (5, 5) D. (1, 5)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First find the feasible region and vertices.

The last one involves a little more work.

Let's graph the line and the other boundaries

The feasible region is then,

The vertices are then
(1,2)
(1,5)
(6,2)
(6,4)
(5,5)
The corresponding values of P are

The minimum value for P of 7 occurs at (1,2).
The correct answer is A.
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