A company bought a lathing machine and a packaging machine on January 1, 2018 at Sh. 2,000,000 and Sh.5,000,000 respectively. The machines depreciate according to the following functions:

Lathing Machine: Packaging Machine: How long will take for the two machines to have the same value? [5 marks]

If exactly 150 people sign up for a charter flight, Safari Travel Ltd., charges Sh.120 per person. However, if more than 150 people sign up for the flight (assume that this is the case), then each fare is reduced by Sh.2 for each additional person. Letting x denote the number of passengers above 150.

Find a function for the revenue realized by the company. [2 marks]

Using the revenue function obtained in (i) above, determine the number of people that needs to sign up for the company to realize a revenue of Sh.13,600. [3 marks]