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Question 5
The following game is played by 2 players
Adam |
Jack |
||
|
Left |
Middle |
Right |
Up |
1,2 |
3,5 |
2,1 |
Middle |
0,4 |
2,1 |
3,0 |
Down |
-1,1 |
4,3 |
0,2 |
Solve the equilibrium for this game.
Step by step
Solved in 2 steps with 3 images
- Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2Problem 7-09 (Algorithmic) Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $1,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,100. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,500 6-cylinder connecting rods and 8,200 4-cylinder connecting rods. Let X4 = the number of 4-cylinder connecting rods produced next week X6 = the number of 6-cylinder connecting rods produced next week S4= 1 if the production line is…Q1. A manufacturing firm has discontinued production of a certain unprofitable product line. This created considerable excess production capacity. Management is considering to devote this excess capacity to one or more of three product 1,2 and 3. The available capacity on the machines which might limit output are given below: Machine type Milling machine Lathe Grinder Available time (in machine hours per week) 250 Milling Lathe Grinder 150 50 The number of machine hours required for each units of the respective product is given below; Machine type Productivity (in machine hours/unit) Product 1 Product 2 8 4 2 2 3 0 Product 3 3 0 1 The unit profit would be 20 birr, 6 birr and 8 birr for products 1,2 and 3. Find how much of each product the firm should produce in order to maximise profit ? Solve the problem by simplex method.
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