Solve the linear programming problem. Maximize z=10x+10y subject to 6x+6y2102 15x-13y 287 x + y ≤ 45 X>0 y 20 What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. z= (Type an integer or a fraction.) O B. There is no maximum value of z.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 103E
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Solve the linear programming
problem.
Maximize z=10x+10y
subject to
6x+6y2102
15x-13y 287
x + y ≤ 45
X>0
y 20
What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. z=
(Type an integer or a fraction.)
O B. There is no maximum value of z.
Transcribed Image Text:Solve the linear programming problem. Maximize z=10x+10y subject to 6x+6y2102 15x-13y 287 x + y ≤ 45 X>0 y 20 What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. z= (Type an integer or a fraction.) O B. There is no maximum value of z.
At what corner point(s) does the maximum value of z occur? Select the correct
choice below and, if necessary, fill in the answer box to complete your choice.
A.
The maximum value of z occurs only at the point(s)
(Type an ordered pair. Use a comma to separate answers as needed.)
and at all points
answers as needed.)
O B. The maximum value of z occurs at the points
connecting them.
(Type an ordered pair. Use a comma to separate
O C. There is no maximum value of z.
Transcribed Image Text:At what corner point(s) does the maximum value of z occur? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value of z occurs only at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.) and at all points answers as needed.) O B. The maximum value of z occurs at the points connecting them. (Type an ordered pair. Use a comma to separate O C. There is no maximum value of z.
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