Linear programming-production problem

Assignment Help Operation Management

Reference no: EM13812715

Linear Programming: Production Problem

A manufacturing company produces four different models of integrated circuits. Each type of circuit requires material, labor, and machine time. The optimal combination of the four types of circuits is limited by the constraints of availability for these three resources. The formulation of the linear programming production problem is:

Maximize Z = 12x₁ + 10x₂ + 15x₃ + 11x₄ (objective function for profit)

Subject to the following constraints:

Material:	5x₁ + 3x₂ + 4x₃ + 2x₄ <= 240 pounds
Machine time:	6x₁ + 8x₂ + 2x₃ + 3x₄ <= 240 hours
Labor:	2x₁ + 3x₂ + 3x₃ + 2x₄<= 180 hours

Nonnegativity: x₁, x₂, x₃, x₄ >= 0

Where: x₁ = quantity of Product 1 produced

x₂ = quantity of Product 2 produced
x₃ = quantity of Product 3 produced
x₄ = quantity of Product 4 produced

Use Microsoft Excel and Solver to find the optimal solution for the production problem. Be sure that values selected by the computer are integers (as it doesn't make any sense to discuss producing part of a unit of a product).

Include your interpretation of the results by stating:

How many of each product will be produced?
What is the profit for the optimal solution?
What resource(s) is limiting the production?

Reference no: EM13812715

Questions Cloud

Developing an online database : When a member logs onto the database, all session information, such as IP address, terminal, and user session information, must be recorded for future analysis.

Project without changing the network diagram : Project crashing expedites the project without changing the network diagram. Another approach to expediting the project is called fast tracking, which means converting some sequential activities to parallel activities.

Write a review of the given article : Read the article When in Rome...: Influences on Special Education Student-Teachers' Teaching by Lysandra Cook. Then write a review of the above article.

Nature of the objective function : What would be the nature of the objective function in such an environment? What types of constraints would exist on the number of camels and number of dromedaries?

Linear programming-production problem : A manufacturing company produces four different models of integrated circuits. Each type of circuit requires material, labor, and machine time. The optimal combination of the four types of circuits is limited by the constraints of availability for..

Commercialization of organ transplants : Commercialization of Organ Transplants

How does the figurative language help poem communicate to us : Show a few examples of figurative language at work. How does the figurative language you have chosen help the poem communicate to us as readers?

Sociology research paper on american families : Sociology Research Paper-American Families

What are the flaking methods used by early people : What are the flaking methods used by early people during paleolithic with specific examples

User Account

All Pages