Length : around 5 minutes
Based on the optimization exercise seen in the previous lesson,
« 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€. The goal of the company is to maximize its turnover. »
We have the following linear programme :
Maximize Z = 15NC+30NT
with NC+NT ≤ 16
NC ≤ 10
NC+4NT ≤ 40
NC ≥ 0 ; NT ≥ 0
It is possible to represent the linear programme graphically. The graphic illustrating the linear programme is the following :
Answer the questions.
