Use the simplex method to find the optimal solution. Assume all variables are nonnegative.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 1SC: Find the maximum value of P=4x+3y subject to the constraints of Example 1. {x+y42x+y6x0y0
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I am not sure how to solve these two, especially using the simple method? Can someone help! 

6.
DETAILS
HARMATHAP12 4.5.015.
Use the simplex method to find the optimal solution. Assume all variables are nonnegative.
Minimize f = 3x + 2y subject to the following constraints.
-x + y < 15
x + y 2 35
x + y < 45
X =
y =
f =
7.
DETAILS
HARMATHAP12 4.5.020.
Use the simplex method or Excel. Assume that all variables are nonnegative.
Maximize f = -x + 3y + 4z subject to the following constraints.
X + y + z < 40
-x + y + z > 30
х+ у — z 2 20
X =
y =
z =
f =
Transcribed Image Text:6. DETAILS HARMATHAP12 4.5.015. Use the simplex method to find the optimal solution. Assume all variables are nonnegative. Minimize f = 3x + 2y subject to the following constraints. -x + y < 15 x + y 2 35 x + y < 45 X = y = f = 7. DETAILS HARMATHAP12 4.5.020. Use the simplex method or Excel. Assume that all variables are nonnegative. Maximize f = -x + 3y + 4z subject to the following constraints. X + y + z < 40 -x + y + z > 30 х+ у — z 2 20 X = y = z = f =
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