Question

2) At a car wash, there are three steps in the process (pre-wash, wash and dry). The pre-wash station has a capacity of 6 cars per hour. The wash station has a capacity of 12 cars per hour and the dry station has a capacity of 12 cars per hour. The deluxe wash consists of all three steps and has a demand of 8 cars per hour while the standard wash consists of only the wash and dry steps and has a demand of 12 cars per hour. What is the implied utilization of the bottleneck resource?

Answer 1

The bottleneck resource is the pre-wash station which has a capacity of 6 per hour.

The pre car wash will be availed only by the ones who prefer to have a deluxe car wash, i.e 8 customers per hour. The rest of the data is inappropriate in this scenario. Hence, the implied utilization of the bottleneck resource will be calculated by deluxe demand divided pre was demand.

Implied utilisation of thsi resource = 8/6 = 1.33 =133.33%

The demand is greater than 100% which means the supply is not sufficient in such a scenario.