Calculate the efficiency and utilization for the following problems. Show your work and

have the units on all of your numbers.

a$.$ A houseboat builder has the facilities, labor and supplies to build $10$ boats in a month.

For January, he planned to build eight boats. His actual production was seven.

b$.$ A trailer manufacturer developed her process to be able to produce six trailers in a day.

For Monday, she scheduled the production of five trailers, but her production operation

produced four.

c$.$ An ice cream manufacturing company designed their production operations to make

$22\mathrm{.}5$ gallons per hour. The production operation produces ice cream $24$ hours a day and

$30$ days per month. In July, the operation plans to be shut down for two $24-$hour

periods for the Fourth of July and plans for $10$ hours of type$-$change time over the

month. They are planning for no maintenance hours because they scheduled those in

June. During the month, they kept this planned schedule exactly, and in addition had

$13$ hours of equipment breakdowns and $21$ hours of quality$-$related problems.