Question

Electrocomp’s management realizes that it forgot to include
two critical constraints (see Problem 7-14). In particular,
management decides that there should be a minimum number of air
conditioners produced in order to fulfill a contract. Also, due to
an oversupply of fans in the preceding period, a limit should be
placed on the total number of fans produced.

(a) If Electrocomp decides that at least 20 air conditioners
should be produced but no more than 80 fans should be produced,
what would be the optimal solution? How much slack is there for
each of the four constraints?

(b) If Electrocomp decides that at least 30 air conditioners
should be produced but no more than 50 fans should be produced,
what would be the optimal solution? How much slack is there for
each of the four constraints at the optimal solution?

7-22 Solve the following LP problem using the corner point
graphical method. At the optimal solution, calculate the slack for
each constraint:

7-26 The seasonal yield of olives in a Piraeus, Greece,
vineyard is greatly

Answer #1

(a) The solution is:

X1 | X2 | Used | Available | ||

3 | 2 | <= | 240 | 240 | |

2 | 1 | <= | 140 | 140 | |

1 | 0 | >= | 40 | 20 | |

0 | 1 | <= | 60 | 80 | |

Obj. Fun. |
40 |
60 |
|||

Max. | 25 | 15 | |||

Z |
1900 |

The graph is:

Slack | |

Constraint 1 | 0 |

Constraint 2 | 0 |

Constraint 3 | 20 |

Constraint 4 | 20 |

(b) The solution is:

X1 | X2 | Used | Available | ||

3 | 2 | <= | 235 | 240 | |

2 | 1 | <= | 140 | 140 | |

1 | 0 | >= | 45 | 30 | |

0 | 1 | <= | 50 | 50 | |

Obj. Fun. |
45 |
50 |
|||

Max. | 25 | 15 | |||

Z |
1875 |

The graph is:

Slack | |

Constraint 1 | 5 |

Constraint 2 | 0 |

Constraint 3 | 15 |

Constraint 4 | 0 |

Need to see step by step solutions Please:
Solve Problem and Applications: ch 13- prob 7
[Klein Industries manufactures three types of portable air
compressors] in page 451 at the end of chapter 13 in your textbook,
USA 5th edition. The data is given as part of the question. There
is no external data set provided. Use what is given by the problem.
You need to submit a formal APA paper to explain all your
findings together with your Excel...

Answer Questions 2 and 3 based on the following LP
problem.
Let P1 = number of Product 1 to be
produced
P2 =
number of Product 2 to be produced
P3 =
number of Product 3 to be produced
Maximize 100P1 + 120P2 +
90P3 Total
profit
Subject to
8P1 + 12P2 + 10P3 ≤
7280 Production budget
constraint
4P1 + 3P2 + 2P3 ≤ 1920 Labor
hours constraint
P1
> 200 Minimum
quantity needed...

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