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

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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

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)

.

Jun 4th, 2015

are there other possible answers for this questions?

Jun 4th, 2015

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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Jun 4th, 2015
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Jun 4th, 2015
Dec 9th, 2016
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