You are the project manager for a new floating bridge across a lake. The HR department has determined that if the organisation does not hire the engineer for the last year of the project, the company will spend $ $20,000$ in overtime wages and benefits. You are now asked by senior manager to analyse the possible outcome of hiring a new engineer for the last year of the project, and make a decision based on all the probabilities. You have been told by the senior manager that the probability the new engineer will be a top performer is $40\%.$ The probability the engineer will be an average perfoemer is $60\%.$ The xompany will spend $ $5000$just to hire the engineer. The engineer's First year salary is estimated at $ $65,000.$ If they are top performer, they will "earn" $ $65,000$ for the project. If they are an average performer, they will "earn" only $ $35,000$ for the project.

Required:

Should you hire the engineer?