Solve the linear programming problem by the method of corners.

Mathematics
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Solve the linear programming problem by the method of corners.

Find the minimum and maximum of P = 4x + 2y subject to
3x + 5y ≥ 20 
3x + y ≤ 16
−2x + y ≤ 4
x ≥ 0, y ≥ 0. 

The minimum is P =  at 

(xy) = 
 
 
.

The maximum is P =  at 
(xy) = 
 
 
.
Jun 4th, 2015

Thank you for the opportunity to help you with your question!

Thank you for the opportunity to help you with your question!

the feasible regions are  three vertices are (0, 0), (8, 0), and (0, 8). 

To find the minimum and maximum values of P, evaluate P = 3x + 4y at each of the three vertices. 

At (0, 0): P = 3(0) + 4(0) = 0 Minimum 

At (8, 0): P = 3(8) + 4(0) = 24 

At (0, 8): P= 3(0) + 4(8) = 32 Maximum 

The minimum value of P is 0. It occurs when x = 0 and y = 0. (0,0) The maximum value of P is 32. It occurs when x = 0 and y = 8. 

The minimum is P =  at 

(xy) = (0,0)

 

 
.

The maximum is P =  at 

(xy) = (0,8)

 

 
.

Please let me know if you need any clarification. I'm always happy to answer your questions.Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015

are there other possible answers for this questions?

Jun 4th, 2015

those are the only answers

Jun 4th, 2015

Solve the linear programming problem by the method of corners.

Find the minimum and maximum of P = 4x + 2y subject to

3x + 5y ≥ 20 
3x + y ≤ 16
−2x + y ≤ 4
x ≥ 0, y ≥ 0. 

The minimum is P = at 

(x, y) = 

.

The maximum is P = 

(x, y) = 

.


Jun 4th, 2015

Is that the same question? The answer  does not seem to be right

Jun 4th, 2015

this question is similar like the one i have done above

Jun 4th, 2015

It is telling me that the answer is wrong :(

Jun 4th, 2015

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