EIT Industrial Review, Second Edition

In the 60-question afternoon session of the FE Exam, expect three questions on facility design and location. In addition, questions on mathematical optimization can have a facility location context (see Chapter 7). See the Material Handling System Design and Manufacturing Systems Design sections of Chapter 6 for plant layout methods.
The Industrial Engineering chapter of the FE Discipline Specific Reference Handbook includes sections on Equipment Requirements and People Requirements (pages 108 109).
The basic formula given in the Handbook for M j, the required number of machines of type j, applies to the case where for each machine type j and product i there is a required production rate P ij, (e.g., widgets per year on machine type 1), a given operation time (duration) T ij, (e.g., machine] hours per widget) and a given product-type-specific machine availability C ij (e.g., hours per year that widgets can be processed on machines of type 1):

More commonly there is an availability C j = ? iC ij for each machine type (e.g., total machine-1 hours available for processing widgets and other products), so that the formula becomes:

In most situations the actual number of machines required is M j rounded up to an integer. Time units must be compatible: T ij can be expressed in standard hours or normal hours, but C ij must correspondingly be the number of standard hours or normal hours available...