Show the process by which a computer would perform a simulation analysis for this project. Assume the computer has generated the random numbers used in parts $(1)$ and $(2).$

$(1)$ Use the random numbers $9$ and $87$ to determine the project's life and development costs; these will be the same for all sample years.

$(2)$ Use $14,18,$ and $1$ as random numbers to determine the unit sales, sales price per unit, and cost per unit in the first year, respectively. Calculate the net income. Repeat this for Year $2$ by using the random values $29,49,$ and $82$ to determine the unit sales, sales price per unit, and cost per unit in the second year. Repeat this for Year $3($and any subsequent years$)$ by using the random values $8,89,$ and $35$ to determine the unit sales, sales price per unit, and cost per unit in the third year, respectively.

$(3)$ What is the NPV for this sample? Do not round intermediate calculations. Round your answer to the nearest dollar. Use a minus sign to enter a negative value, if any.