Maximize Profit w/ Linear Programming: Omega Mfg Co

AI Thread Summary
Omega Manufacturing Company is exploring the use of its excess manufacturing capacity to produce three products, each with specific profit margins and machine hour requirements. The available machine hours are 550 for milling, 350 for lathe, and 150 for grinder. Product 1 has the highest profit potential at $50, followed by Product 3 at $25, and Product 2 at $20. Sales for Products 1 and 2 exceed their maximum production capabilities, while Product 3 has a sales limit of 20 units per week. The discussion seeks assistance in formulating a linear programming problem to maximize profits given these constraints.
SilverSurfer3
Messages
3
Reaction score
0

Homework Statement


Omega Manufacturing Company has excess manufacturing capacity and is considering
devoting its excess capacity to product 1,2, and 3.
The production process uses three types of machines and the available capacity on the machines is as follows:
Milling Machine: 550 hrs/week
Lathe 350 hrs/week
Grinder 150 hrs/week

Profits and machine requirements in hours for the three products are as follows:
Catagory Products 1 Product 2 Product 3
Profit 50 20 25
Milling Machine 9 3 5
Lathe 5 4 0
Grinder 3 0 2

Sales Potentials for Product 1 and 2 exceeds max production and Product 3 is expected to sell no more than 20 units per week. Formulate the LP PROBLEM

I really appreciate any help I can get on the problem. I have been struggling with it for sometime and I have a couple more like it so if I can see how to solve this one I can work through the rest. Thanks very much!
 
Physics news on Phys.org
Note: This is a 3 variable Linear Programming Problem
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »

Similar threads

3 Variable Linear Programming Question
Replies
1
Views
5K
Optimizing Productivity: Linear Programming for All-Easy's Production Goals
Replies
7
Views
3K
Emergency HW Help: Algebra 2 Linear Programming - Maximize Profit
Replies
6
Views
3K
B Solving a Linear Programming Problem which Requires Integer Solutions
Replies
17
Views
3K
MHB Linear Programming formulation problem
Replies
4
Views
3K
Linear Programming: Solving Acme's Lowest Cost Problem
Replies
3
Views
7K
Numerical techniques-Linear programming(graphical method)
Replies
4
Views
2K
Linear programming/planning problem
Replies
1
Views
2K
Maximize Weekly Profit for Furniture Manufacturer: Linear Programming Solution
Replies
10
Views
4K
How Does Car Type and Investment Limit Affect Dealership Profit Maximization?
Replies
6
Views
3K

Hot Threads

Recent Insights

Back
Top