Operations research linear model question

by andrassy
Tags: linear, model, operations, research
andrassy is offline
Sep23-08, 11:01 PM
P: 46
1. The problem statement, all variables and given/known dataDean's Furniture Company assembles regular and deluxe kitchen cabinets from precut lumber. The regular cabinets are painted white, and the deluxe are varnished. Both painting and varnishing are carried out in one department. The daily capacity of the assembly department is 200 regular cabinets and 150 deluxe. Varnishing a deluxe unit takes twice as much time as painting a regular one. If the painting/cvarnishing department is dedicated to deluxe units only, it can complete 180 units daily. The company estimates that the revenues per unit for the regular and deluxe cabinets are 100 and 140, respectively. Find the optimal schedule per day.

3. The attempt at a solutionSo I made my objective function Max z = 100x1 + 140x2 where x1 is the number of regular cabinets to produce and x2 is the amount of deluxe. My constrictions, however, I am unsure to model. It appears that x1 <= 200 and x2<=150 but then there is the part about deluxe only can make 180 and it takes twice as long to make a deluxe, neither of which I am sure how to model in the constrictions. Any suggestions?
Phys.Org News Partner Science news on Phys.org
NASA's space station Robonaut finally getting legs
Free the seed: OSSI nurtures growing plants without patent barriers
Going nuts? Turkey looks to pistachios to heat new eco-city
Essam is offline
Oct9-11, 06:21 AM
P: 1
hi Andrassy..
gd evening.. hope u r fine and doing well n ur life..
mmmmm.. i was wondering did u know how 2 solve this problem at the end..?!

Register to reply

Related Discussions
Linear Algebra, Matrix Operations Calculus & Beyond Homework 0
Linear Algebra: Elementary Row Operations Calculus & Beyond Homework 0
linear algebra and matrix operations: correct me if im wrong Calculus & Beyond Homework 4