{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Hw1_Key - OEM DMOR 2007 Homework 1 Solutions 1 Decision...

This preview shows pages 1–2. Sign up to view the full content.

OEM DMOR 2007 Homework 1 Solutions 1. Decision variables: x 1 : number of bookshelves produced x 2 : number of couches produced x 3 : number of worktables produced Using these decision variables and value of the parameters given in the problem, the linear programming formulation can be written as: maximize 6 x 1 + 5 x 2 + 8 x 3 st 12 x 1 + 14 x 2 + 16 x 3 400 (Labor constraint) 40 x 1 + 22 x 2 + 60 x 3 1000 (Lumber constraint) x 1 , x 2 , x 3 0 2. Please see the Excel file. 3. Decision variables: x 11 : number of bookshelves produced in the first week x 12 : number of bookshelves produced in the second week x 21 : number of couches produced in the first week x 22 : number of couches produced in the second week x 31 : number of worktables produced in the first week x 32 : number of worktables produced in the second week r : number of worktables reinvested s : number of worktables sold Using these variables, a linear programming formulation for the problem can be given as: maximize 6 x 11 + 5 x 21 + 8 s + 6 x 12

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}