Quiz 1A : Minimization of costs – Optimization of resources

Length : around 10 minutes

« A company sells chairs and small tables which it produces using a stock of 16 wood units, 10 fabric units, and employs a worker for 40 hours of labour.

1 chair requires : 1 hour of labour, 1 wood unit, 1 fabric unit

1 table requires : 4 hours of labour, 1 wood unit. A chair costs 15€, a table costs 30€. »

It is possible to develop a linear-programming model which determines the quantity of chairs and tables that must be produced in order to maximize the company turnover.

Consider the linear programme and answer the questions. Then, click on “Submit”.

Let NC be the number of chairs sold,
NT the number of tables sold
Z the company turnover

How can the sentence “the goal of the company is to maximize its turnover” be written in algebraic form ?

The fabric equation says that the totality of fabric used cannot exceed the fabric available and is written as follows :

The labour equation says that the labour used cannot exceed the labour available and is written as follows :

The wood equation says that the totality of wood used cannot exceed the wood available and is written as follows :