Qn2. A firm makes two products X and Y and has a Total production capacity of 9 tons per day. X and Y requiring the same production capacity The firm has a permanent contract to supply at least two tons of X and at least three tons of Y per day to another company .Each ton of X required 20 machine hours production time each ton of Y requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. The entire firm's output can be sold and the profit made is 80 per ton of x and 120 per ton of Y. It is required to determine the production schedule for maximizing the profit.. Formulate the L.P.P.( Only the L.P.P formula is required. No need to solve this L.P.P)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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P:PE
*** MOV MO7"
|
Qn2. A firm makes two products X and Y and has a Total production
capacity of 9 tons per day. X and Y requiring the same production
capacity The firm has a permanent contract to supply at least two tons of
X and at least three tons of Y per day to another company Each ton of X
required 20 machine hours production time each ton of Y requires 50
machine hours of production time. The daily maximum possible number
of machine hours is 360. The entire firm's output can be sold and the
profit made is 80 per ton of x and 120 per ton of Y. It is required to
determine the production schedule for maximizing the profit.. Formulate
the L.P.P.( Only the L.P.P formula is required. No need to solve this
L.P.P)
Qn3. Consider the following LP problem. Solve it using Big M method.
(Iteration 3 is given)
Maximize
Z = 5x, +10x, + 8x3
Complete the table and find the maximum value.
Iteration 41
Basic
X1
X2
X3
S1
Variables
5
S2
S3
A1
Solution
Ratio
10
-M
si
4/5
-44/5
8/5
1
10
X3
-1
56
3/5
1
2/5
1/5
16
S2
-2/5
17/5
-4/5
56
1
Zi
Iteration 5
CBi Basic
X1
Variables
| X2 X3
S1
S2 S3
A1
Solution
Ratio
10
8.
-M
Zi
C-Z
PART III
Qn4. (a) Find the saddle point, if it exists, for the following game.
(b) Solve the following game by using the principle of dominance
and find the probabilities of strategies for each player and the value of the
game.
Player B
Player A
I
|II
III
IV
V
2
7.
4
6.
1
10
5
15
17
16
7.
II
III
IV
4
3.
1 1
Qn5. Solve the transportation problem using Stepping Stone Method.
Distribution Centres
Supply
Di
D2
D3
S1
5
16
10
100
Plants
S2
10
50
12
40
15
30
S3
12
19
10
40
Demand
ألصى حجم لملف: 0 بايت. الحد الأقصي لعد د الملقان
ave any Solutron
Transcribed Image Text:P:PE *** MOV MO7" | Qn2. A firm makes two products X and Y and has a Total production capacity of 9 tons per day. X and Y requiring the same production capacity The firm has a permanent contract to supply at least two tons of X and at least three tons of Y per day to another company Each ton of X required 20 machine hours production time each ton of Y requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. The entire firm's output can be sold and the profit made is 80 per ton of x and 120 per ton of Y. It is required to determine the production schedule for maximizing the profit.. Formulate the L.P.P.( Only the L.P.P formula is required. No need to solve this L.P.P) Qn3. Consider the following LP problem. Solve it using Big M method. (Iteration 3 is given) Maximize Z = 5x, +10x, + 8x3 Complete the table and find the maximum value. Iteration 41 Basic X1 X2 X3 S1 Variables 5 S2 S3 A1 Solution Ratio 10 -M si 4/5 -44/5 8/5 1 10 X3 -1 56 3/5 1 2/5 1/5 16 S2 -2/5 17/5 -4/5 56 1 Zi Iteration 5 CBi Basic X1 Variables | X2 X3 S1 S2 S3 A1 Solution Ratio 10 8. -M Zi C-Z PART III Qn4. (a) Find the saddle point, if it exists, for the following game. (b) Solve the following game by using the principle of dominance and find the probabilities of strategies for each player and the value of the game. Player B Player A I |II III IV V 2 7. 4 6. 1 10 5 15 17 16 7. II III IV 4 3. 1 1 Qn5. Solve the transportation problem using Stepping Stone Method. Distribution Centres Supply Di D2 D3 S1 5 16 10 100 Plants S2 10 50 12 40 15 30 S3 12 19 10 40 Demand ألصى حجم لملف: 0 بايت. الحد الأقصي لعد د الملقان ave any Solutron
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