Modelling truck camper production

Abstract

This note describes an interdisciplinary project designed to enhance students’ knowledge of the basic techniques taught in a multivariable calculus course. The note discusses the four main requirements of the project and then the solutions for each requirement. Concepts covered include differentials, gradients, Lagrange multipliers, constrained and unconstrained optimization, level curves (isoquants and isocosts), marginal revenue and cost, the law of diminishing returns, marginal productivity, and inventory control.

Keywords:

• constrained and unconstrained optimization
• level curves (isoquants and isocosts)