XYZ Company Limited invests in a particular project and it has been estimated that after X months of
running, the cumulative profit (Sh.‘000’) from the project is given by the function 10 5 2 x − x − , where x
represents time in months. The project can run for eleven months at most.
Required:
i) Determine the initial cost of the project.
ii) Calculate the break-even time in months for the project.
iii) Determine the best time to end the project.
iv) Determine the total profit within the break-even points.