David is an UPS package packer. There are three types of packages: basic packages, business packages, and oversized packages. Business packages take priority over basic packages and oversized packages because those customers paid a premium to have a two$-$day delivery.

David has a $9-$hour shift. On average, every three hours he receives on one container of packages. Each container has a variety of basic, business, and oversized packages. As soon as David processes a package, he passes it to the next employee, who loads it onto a truck. The times it takes him to process the three different types of packages and the average number of packages per container are shown in the table below.

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Basic

Business

Oversized

Time to label and package each unit

$5$ min

$4$ min

$6$ min

Avg # of units per container

$10$

$10$

$5$

David currently processes packages from each container as follows. First, he processes all business packages in the container. Then he randomly selects either basic packages or oversized packages for processing until the container is empty. However, his manager suggested a different sequencing: business packages first, basic packages second, and the oversized packages last.

What is the utilization of David? If David follows his supervisor$$s advice, what will happen to his utilization?

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$1.$What is the utilization of David? If David follows his supervisor$$s advice, what will happen to his utilization?

If David follows his supervisor$$s advice, what will happen to the average time that a package spends in the container?

$2.$If David follows his supervisor$$s advice, what will happen to the average time that a package spends in the container?

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