Quantitative Methods · Mathematical Foundations

Multivariable Calculus for Econ — Helio Verde Three-Product Optimisation

Run Helio Verde Beverages' three-product portfolio (Cola, Agua, Sport) through the full multivariable-calculus apparatus: gradients on the unconstrained surface (Round 1), the constrained Lagrangian with KKT conditions and shadow prices for bottling, sugar and labour (Round 2), and the envelope theorem with

3 rounds Executive English, Español

Preview

About this simulation

Run Helio Verde Beverages' three-product portfolio (Cola, Agua, Sport) through the full multivariable-calculus apparatus: gradients on the unconstrained surface (Round 1), the constrained Lagrangian with KKT conditions and shadow prices for bottling, sugar and labour (Round 2), and the envelope theorem with comparative statics for scenario analysis under a sugar-price shock (Round 3).

Designed for advanced undergraduate methods courses, Master's-level quantitative-methods modules, and exec-ed cohorts of CFOs and OR practitioners with prior calculus.

Who it is for

An advanced simulation for participants used to working with the main frameworks and trade-offs of the subject, designed for executive education and experienced professionals.

How a session runs

  1. The instructor creates a session from the Eureka dashboard and invites the participants.
  2. Participants play 3 rounds. In each one they submit their decisions and the simulation calculates the results.
  3. The simulation can be run in English, Español.
  4. The instructor follows each participant's progress and results from the dashboard, and uses the class results for the debrief.

Decisions participants make

The decisions participants make during the simulation:

  • q₁ — Helio Cola
  • q₂ — Helio Agua
  • q₃ — Helio Sport
  • Sugar price shock (%)

What participants track

What participants follow on screen as the rounds go by:

  • Production plan — daily output (thousand litres)
  • Resource constraints
  • Envelope-theorem scenario
  • Gradient ∇π at chosen point
  • Shadow prices λ* (calibrated optimum)

Subjects covered

Designed for courses in Mathematical Foundations.

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