What is a shadow price in simple terms?

It is the maximum extra amount you'd be willing to pay for one more unit of a resource that is limiting your production and profit.

How do I calculate a shadow price in the ACCA PM exam?

First, identify the binding constraints, then add one unit to one of them and re-solve the simultaneous equations to find the new maximum contribution; the increase is the shadow price.

What if my shadow price calculation is negative?

A negative shadow price is theoretically possible in minimisation problems but highly unlikely in the type of maximisation problems you will face in the PM exam; check your calculations for errors.

Am I ready for this topic if I can only do the calculation?

The calculation is the first step, but to be ready, you must also be able to explain what the calculated figure means for business decisions, as interpretation carries significant marks.

How many hours should I spend on linear programming?

Rather than focusing on hours, aim for outcomes. Spend enough time, perhaps over 3-4 focused sessions, until you can confidently solve a problem, calculate a shadow price, and explain its meaning.

What's the difference between a shadow price and slack?

Slack is the amount of a resource you have left over (it applies to non-binding constraints), while a shadow price is the value of getting one more unit of a resource you've run out of (it applies to binding constraints).

What if I can't identify the binding constraints correctly?

This is a critical first step, and an error here will mean the rest of your shadow price calculation is incorrect. Practice solving graphical LP problems first to ensure you are confident in finding the optimal point and the active constraints.

Is it possible to pass PM if I skip linear programming?

While it is technically possible to pass by scoring very highly on other topics, it is a high-risk strategy as linear programming is a regular feature in Section C and can be worth up to 20 marks.

ACCA PM

Shadow Price: ACCA PM Linear Programming Guide

Understand shadow prices in ACCA Performance Management. A clear definition, worked example, and examiner insights to help you pass your PM exam.

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