SOLUTION: You are given a linear programming problem.
Maximize P = 4.5x + 3y
subject to 5x + 3y ≤ 30 Resource 1
2x + 3y ≤ 21 Resource 2
x ≤ 4 Resource 3
y
Algebra ->
College
-> Linear Algebra
-> SOLUTION: You are given a linear programming problem.
Maximize P = 4.5x + 3y
subject to 5x + 3y ≤ 30 Resource 1
2x + 3y ≤ 21 Resource 2
x ≤ 4 Resource 3
y
Log On
Question 1201220: You are given a linear programming problem.
Maximize P = 4.5x + 3y
subject to 5x + 3y ≤ 30 Resource 1
2x + 3y ≤ 21 Resource 2
x ≤ 4 Resource 3
y ≥ 0
x ≥ 0
(a) Use the method of corners to solve the problem.
The maximum is P = __?__ at (x, y) = __?__
(b) Suppose P = cx + 3y. Find the range of values that the coefficient c of x can assume without changing the optimal solution.
__?___ ≤ c ≤ __?__
(c) Find the range of values that Resource 1 can assume.
____?____ ≤ (Resource 1) ≤ ____?_____