Q$2.(6$ Points$)$ Assume a designer's productivity when working alone on a project is $2,000$ transistors per month.

Assume that each additional designer reduces productivity by $5\%.$

Fill the table below that shows the Transistors per Designer per Month and team monthly productivity versus team size for team size of $1,5,10,15,20,25,30$ and $35$ designers.

Using the same Table, fill the number of months to complete a project which have a size of $500,000$ transistors.

Provide the "optimal" number of designers for the projects, indicating the number of months required.

You should show ALL the calculations. Final answer without explanation is NOT ACCEPTED.

$\backslash$table$[[\backslash$table$[[$Team$],[$Size$]],\backslash$table$[[$Transistors per$],[$Designer per$],[$Month$]],\backslash$table$[[$Team Monthly$],[$Productivity$]],\backslash$table$[[$Completion of$],[500,000]]],[1,,,],[5,,,],[10,,,],[15,,,],[20,,,],[25,,,],[30,,,],[35,,,]]$