Midway is contemplating the purchase of a new fleet of buses featuring the latest fuel$-$efficient hybrid engines. The anticipated current cost for the new fleet is R$100$ million, and it is projected to yield an annual fuel cost saving of R$16$ million. Midway plans to use this fleet for the next fifteen years, at which point the buses could be sold for R$35$ million. The company's weighted average cost of capital $($WACC$)$ is $14\%.$

For the purposes of this question, please disregard inflation and taxation.

Conduct a sensitivity analysis to determine Midway$$s sensitivity to various variables involved in this investment. These variables include:

$$ The initial cost of the new fleet

$$ The annual fuel cost savings

$$ The projected lifespan of the fleet

$$ The estimated resale value of the fleet after fifteen years

$$ The weighted average cost of capital

$$ Your analysis should indicate how changes in each of these variables could affect the net present value $($NPV$)$ of the investment in the new fleet.

Provide calculations and explanations to support your analysis. $(14)$

Hint: Sensitivity analysis involves changing one variable at a time while keeping the other variables constant to see how such changes affect the overall outcome $($in this case, the NPV$).$