6. Use ertreme point graphical method to solve the following LP problems: (a) Maximize z = 3r + 2r2 subject to the following constraints: x1 – 12 > 1 • xi + x2 > 3 • 21, 12 20 (b) Maximize z = x1 +r2 subject to the following constraints: ri + x2 <1 • 22 – 3x1 > 3 • *1, 12 >0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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6. Use ertreme point graphical method to solve the following LP problems:
(a) Maximize z =
3r1 + 2x2 subject to the following constraints:
• 21 - 12 > 1
• xi + x2 > 3
• 21, 12 20
(b) Maximize z = x1 + *2 subject to the following constraints:
• 21 + x2 <1
• 22 – 3x1 > 3
• X1, X2 >0
Transcribed Image Text:6. Use ertreme point graphical method to solve the following LP problems: (a) Maximize z = 3r1 + 2x2 subject to the following constraints: • 21 - 12 > 1 • xi + x2 > 3 • 21, 12 20 (b) Maximize z = x1 + *2 subject to the following constraints: • 21 + x2 <1 • 22 – 3x1 > 3 • X1, X2 >0
3. (From [1]) A pet store has determined that each hamster should receive at least
70 units of protein, 100 units of carbohydrates, and 20 units of fat daily. The
store carries the six type of feed shown on the Table M.1 below:
Feed
Protein,
Carbohydrates,
units/oz
Fats,
Cost.
units/oz
units/oz cents/oz
20
50
4
2
30
30
3
40
20
11
40
25
10
E
45
50
8
F
30
20
10
8
Table 1: Table M.1
Formulate the linear programming model for this particular LP problem but
do not solve. scolwiblulve.
Transcribed Image Text:3. (From [1]) A pet store has determined that each hamster should receive at least 70 units of protein, 100 units of carbohydrates, and 20 units of fat daily. The store carries the six type of feed shown on the Table M.1 below: Feed Protein, Carbohydrates, units/oz Fats, Cost. units/oz units/oz cents/oz 20 50 4 2 30 30 3 40 20 11 40 25 10 E 45 50 8 F 30 20 10 8 Table 1: Table M.1 Formulate the linear programming model for this particular LP problem but do not solve. scolwiblulve.
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