A manufacturer produces bicycles and motorcycles, each of which must be processed through two machine centers. Machine center 1 has a maximum of 120 hours available and machine center 2 has a maximum of 180 hours available. A bicycle requires 6 hours in mc1 and 3 hours in mc2. Manufacturing a motorcycle requires 4 hours in mc1 and 10 hours in mc2. If the profit is $45 for each bicycle and $250 for a motorcycle, determine the number of bicycles and number of motorcycles to produce to maximize profit considering that the number of motorcycles must not exceed 12 units and bicycle must be at least 10 units. Formulate as Linear Program and solve using the graphical Method.Solve using LP-Simplex Solution Maximize Z = 10X1 + 14X2 Subject to: 4x1 + 6x2 <= 24 2x1 + 6x2 <= 20 x1, x2 >= 0Consider the transportation problem given below. Destinations Source123Supplies196452410263157105Demands93416Construct the NW corner solutionCompute the total cost of the NW corner solutionUsing the stepping stone method, find the min-cost solution. 4. Assignment Problem. Maximize Profit MachinesWorker1234A12151114B10121110C13121515D13131414 1. A manufacturer produces bicycles and motorcycles, each of which must beprocessed through two machine centers. Machine center 1 has a maximum of 120hours available and machine center 2 has a maximum of 180 hours available. A bicyclerequires 6 hours in mc1 and 3 hours in mc2. Manufacturing a motorcycle requires 4hours in mc1 and 10 hours in mc2. If the profit is $45 for each bicycle and $250 for amotorcycle, determine the number of bicycles and number of motorcycles to produce tomaximize profit considering that the number of motorcycles must not exceed 12 unitsand bicycle must be at least 10 units. Formulate as Linear Program and solve using thegraphical Method.2. Solve using LP-Simplex SolutionMaximize Z = 10X1 + 14X2Subject to:4x1 + 6x2 <= 242x1 + 6x2 <= 20х1, х2 >3 03. Consider the transportation problem given below.DestinationsSource13Supplies1964410315710Demands3416a. Construct the NW corner solutionb. Compute the total cost of the NW corner solutionc. Using the stepping stone method, find the min-cost solution.4. Assignment Problem. Maximize ProfitMachinesWorker134A12151114В10121110C1312151513131414

Name: A manufacturer produces bicycles and motorcycles, each of which must b
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Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

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A manufacturer produces bicycles and motorcycles, each of which must be processed through two machine centers. Machine center 1 has a maximum of 120 hours available and machine center 2 has a maximum of 180 hours available. A bicycle requires 6 hours in mc1 and 3 hours in mc2. Manufacturing a motorcycle requires 4 hours in mc1 and 10 hours in mc2. If the profit is $45 for each bicycle and $250 for a motorcycle, determine the number of bicycles and number of motorcycles to produce to maximize profit considering that the number of motorcycles must not exceed 12 units and bicycle must be at least 10 units. Formulate as Linear Program and solve using the graphical Method.
Solve using LP-Simplex Solution

            Maximize Z = 10X1 + 14X2

            Subject to:

                        4x1 + 6x2 <= 24

                        2x1 + 6x2 <= 20

                           x1, x2 >= 0
Consider the transportation problem given below.

Destinations

Source

1

2

3

Supplies

1

9

6

4

5

2

4

10

2

6

3

15

7

10

5

Demands

9

3

4

16

Construct the NW corner solution
Compute the total cost of the NW corner solution
Using the stepping stone method, find the min-cost solution.

4. Assignment Problem. Maximize Profit

	Machines
Worker	1	2	3	4
A	12	15	11	14
B	10	12	11	10
C	13	12	15	15
D	13	13	14	14

1. A manufacturer produces bicycles and motorcycles, each of which must be
processed through two machine centers. Machine center 1 has a maximum of 120
hours available and machine center 2 has a maximum of 180 hours available. A bicycle
requires 6 hours in mc1 and 3 hours in mc2. Manufacturing a motorcycle requires 4
hours in mc1 and 10 hours in mc2. If the profit is $45 for each bicycle and $250 for a
motorcycle, determine the number of bicycles and number of motorcycles to produce to
maximize profit considering that the number of motorcycles must not exceed 12 units
and bicycle must be at least 10 units. Formulate as Linear Program and solve using the
graphical Method.
2. Solve using LP-Simplex Solution
Maximize Z = 10X1 + 14X2
Subject to:
4x1 + 6x2 <= 24
2x1 + 6x2 <= 20
х1, х2 >3 0
3. Consider the transportation problem given below.
Destinations
Source
1
3
Supplies
1
9
6
4
4
10
3
15
7
10
Demands
3
4
16
a. Construct the NW corner solution
b. Compute the total cost of the NW corner solution
c. Using the stepping stone method, find the min-cost solution.
4. Assignment Problem. Maximize Profit
Machines
Worker
1
3
4
A
12
15
11
14
В
10
12
11
10
C
13
12
15
15
13
13
14
14

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