Managers at Lavalle, a transport company based in the south of France, introduced a new supply chain information system. They worked with a team of consultants from the system supplier, who described the risks from the installation using a probability$-$impact matrix. This had five categories of likelihood, with guidelines for the corresponding probabilities $-$ 'very unlikely meaning a probability of $0-10$ per cent, unlikely' meaning $10-35$ per cent, 'medium' meaning $35-65$ per cent, 'likely' meaning $65-90$ per cent and 'very likely meaning more than $90$ per cent. They assigned values of $1$ to $5$ respectively to each category. Similarly, they assessed the impact of risks as very low, low, medium high and very high $-$ so a delay of$,$ say, $1$ week in the project would have very low impact, a delay of $1$ to $4$ weeks would have low impact, a delay of $4$ to $10$ weeks would have medium impact, and so on$.$ Then they assigned values of $1$ to $5$ respectively to these consequences.

a$)$ Build the table matrix

b$)$ Comment results