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2. A pharmaceutical company manufactures a drug using two ingredients. Each component provides the antibiotics that the medicine should contain. The company has developed the following model to determine the quantities of ingredients. The component values to be found should meet the antibiotic requirements at minimum total cost. Make a graphical solution of the model. (Score: 25) $Z_{min} = 80x_1 + 50x_2$ AKA $3x_1 + x_2 \ge 6$ (Antibiyotik 1) $x_1 + x_2 \ge 4$ (Antibiyotik 2) $2x_1 + 6x_2 \ge 12$ (Antibiotic 3) $x_1, x_2 \ge 0$

          2. A pharmaceutical company manufactures a drug using two ingredients. Each component provides the antibiotics that the medicine should contain. The company has developed the following model to determine the quantities of ingredients. The component values to be found should meet the antibiotic requirements at minimum total cost. Make a graphical solution of the model. (Score: 25)
$Z_{min} = 80x_1 + 50x_2$
AKA
$3x_1 + x_2 \ge 6$ (Antibiyotik 1)
$x_1 + x_2 \ge 4$ (Antibiyotik 2)
$2x_1 + 6x_2 \ge 12$ (Antibiotic 3)
$x_1, x_2 \ge 0$
        
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2. A pharmaceutical company manufactures a drug using two ingredients. Each component provides the antibiotics that the medicine should contain. The company has developed the following model to determine the quantities of ingredients. The component values to be found should meet the antibiotic requirements at minimum total cost. Make a graphical solution of the model. (Score: 25)
Zmin = 80x1 + 50x2
AKA
3x1 + x2 ≥ 6 (Antibiyotik 1)
x1 + x2 ≥ 4 (Antibiyotik 2)
2x1 + 6x2 ≥ 12 (Antibiotic 3)
x1, x2 ≥ 0

Added by David A.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A pharmaceutical company manufactures a drug using two ingredients. Each component provides the antibiotics that the medicine should contain. The company has developed the following model to determine the quantities of ingredients. The component values to be found should meet the antibiotic requirements at minimum total cost. Make a graphical solution of the model. (Score: 25) Z_min = 80x1 + 50x2 AKA 3x1 + x2 >= 6 (Antibiotic 1) x1 + x2 >= 4 (Antibiotic 2) 2x1 + 6x2 >= 12 (Antibiotic 3) x1, x2 >= 0 A pharmaceutical company manufactures a drug using two ingredients. Each component provides the antibiotics that the medicine should contain. The company has developed the following model to determine the quantities of ingredients. The component values to be found should meet the antibiotic requirements at minimum total cost. Make a graphical solution of the model. Score: 25 Z_min = 80x1 + 50x2 AKA 3x1 + x2 >= 6 (Antibiotic 1) x1 + x2 >= 4 (Antibiotic 2) 2x1 + 6x2 >= 12 (Antibiotic 3) x1.x2 >= 0
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Transcript

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0:00 Okay.
00:03 So a says formulated linear programming model for this problem, and then b says solve this problem by using graphical analysis.
00:12 Okay, so i cannot technically use other programs or have a graph on here without plagiarism or plagiarizing.
00:22 So i will just go and formulate it as math equations instead.
00:29 So you have y, which x plus y would be this.
01:00 So the cost, which would be c would be 80, x plus 50y.
01:12 So i did draw or make a graph.
01:15 I however cannot show you it.
01:17 But using this graph to essentially understand.
01:23 The data that's in it, i'm going to just put a little box around this.
01:30 So we're going to start off with using the 2x plus 6y and 3x plus y.
01:50 So doing these, we have, i'm going to rewrite it again.
01:55 So 2x plus 6y essentially equals 12.
01:59 And then we have the 3x plus y essentially equal 6...
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