Linear Programming with JuMP.jl

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Lab 03

October 22, 2024

Overview

• Upcoming Schedule

Lab Instructions

• Spend first 30 minutes working through the LP formulation;
• Then implement LP in JuMP.

Problem Statement

Goal: How much lumber to produce to maximize profit from wood sales?

Problem Statement

• Forest consists of 320,000 bf of spruce, 720,000 bf of fir.
• Spruce costs \(\$0.12\) per bf to purchase and fir costs \(\$0.08\) per bf.

Table 1: Wood inputs and revenue by plywood grade. S refers to spruce inputs, F fir inputs.

Plywood Grade	Inputs (bf/bf plywood)	Revenue ($/1000 bf)
1	0.5 (S) + 1.5 (F)	400
2	1.0 (S) + 2.0 (F)	520
3	1.5 (S) + 2.0 (F)	700

Upcoming Schedule

Next Classes

Monday: Prelim Review and More LP

Assessments

• Weekly Exercises: Due Monday (LP/Optimization Basics)
• HW3: Also Due Tomorrow!
• Project Proposal: Due Friday