Question $15$

Compute the average time it takes to sell a car in the country discussed below.

A high$-$end luxury car manufacturer sells $17,000$ cars per year to four dealerships in four

regions of a country. Assume $50$ weeks per year.

Out of this total sale, $20\%$ of the cars are sold in North$-$Region, $21\%$ are sold in East$-$Region,

$20\%$ are sold in West$-$Region, and the rest are sold in South$-$Region.

On average there are $1,000$ cars of this manufacturer in all dealerships.

Out of this total inventory, $22\%$ of the cars are in the dealership in North$-$Region, $21\%$ is in

East$-$Region, $11\%$ is in West$-$Region, and the rest is in South$-$Region.

Compute the average time it takes to sell a car in this country. Enter your answers in terms

of weeks with ONE decimal point.