Purchase Solution

Linear programming problems: Steel production

Not what you're looking for?

Ask Custom Question

See attached file for full problem descriptions with complete equations.

---
1. During the next three months, Ironco faces the following demands for steel: 100 tons (month 1); 200 tons (month 2); 5 tons (month 3). During any month, a worker can produce up to 5 tons of steel. Each worker is paid $5000 per month. Workers can be hired or fired at a cost of $3000 per worker fired and $4000 per worker hired (it takes 0 time to hire a worker). The cost of holding a ton of steel in inventory for one month is $100. Demand may be backlogged at a cost of $70 per ton month. That is, if 1 ton of month 1 demand is met during month 3, then a backlogging cost of $140 is incurred. At the beginning of month 1, Ironco has 8 workers. During any month, at most 2 workers can be hired. All must be met by end of month 3. The raw material used to produce a ton of steel costs $300. Formulate an LP to minimize Ironco's costs.

2. The following LP is for a luxury cars and trucks Auto manufacture.

s.t.

In the above example, let c1 be the objective function coefficient of . Determine the optimal z-value as a function of c1.
---

Attachments
Purchase this Solution

Solution Summary

The solution provides a very detailed and step-by-step explanation for the problem. The Excel programming codes are also provided.

Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.