Mathematical Modelling; Modelling Cycle

Consider the following situation: {see attachment} Develop a mathematical model which describes the contractors profit from the days work [a very simple model will do]. Then show how, using the modelling cycle, this model might be revised into a sequence of successively more sophisticated mathematical models, which show how the logging contractor might determine whether such jobs are truly worth doing.

Modellling

A large corporation with offices filling a 40 storey building is concerned to minimise the waiting and travel times of its employees when using the lifts, which are regularly perceived as too long at certain times of the day. It is powerless to alter the number of lifts in service;instead it seeks to model the pattern of the use of the lifts, and set rules of operation and use for the lifts which might improve the service. It is willing to invest in any hardware or software which might help(but it cannot physically provide more lifts, or alter the lift haulage mechanism). (a)List some features of this situation which may be relevant to a model of lift usage. (b)What information cou... click for more

Instabilities past exam paper - A1

QA1. I have attempted the attatched practice paper and would like the workings and solutions to check my work. A thin layer of water thickness d=0.5cm is heated from below. The bottom of the layer is held at temperature... Please see attached.

Instabilities exam paper - A2

A2. The population of birds on an island is described by the following model... Please see attached for full question.

Instabilities exam paper - A3

Consider an infinite layer of fluid held between two planes z=0 and z=δ such that the temperature of the bottom boundary is... Please see attached for full question.