Your company has to buy 500 electrical appliances and proposes a tender for decide which appliances to buy. To this are presented two manufacturers: Manufacturer A, which sells appliances with the following specifications: the lifetime has an exponential distribution with a half-life of 200 - 10*N hours, and these cost $35,000 each. Manufacturer B, which sells appliances whose useful life has a distribution uniform between 155 and 190 + N hours, and these have a cost of $30,000 each one When an appliance is damaged before 180 hours of operation, regardless of manufacturer, incurs expenses in the amount of $50,000 for the company.

a) Simulate the lifetimes of all electrical devices.