Question $19$ Question $20$ is based on this problem:

American Hospital Supply is a medical equipment & product distributor and supplier. The company has installed its online terminals in hospitals of New York City so that supplies and drugs can be purchased as the need arises. These terminals have an average breakdown rate of $3\mathrm{.}5$ per week $($one week $=7$ days$).$ The company has a repair technician in its office of New York City to repair the terminals. The average time required to repair a terminal varies somewhat, but takes average of $0\mathrm{.}8$ days with a standard deviation of $0\mathrm{.}2$ days.

On average, how much time $($in days$)$ transpires from the time a terminal breaks down to the time it is repaired $($i$.$e$.$ functions normally again$).$

$0\mathrm{.}1417$

$0\mathrm{.}5417$

$0\mathrm{.}6328$

$0\mathrm{.}2833$

$1\mathrm{.}0833$

Suppose American Hospital Supply estimates it loses $$600$ a day in productivity and efficiency for each terminal that is out of service. How much should the company be willing to pay to increase service capacity to the point where an average of $14$ terminals a week could be repaired with the standard deviation of average service time being the same? Keep two decimals after rounding for your answer. Hint: the question is the same as how much loss in dollar value a day in productivity and efficiency can be saved by being able to repair $14$ terminals a week.$)$

$$82\mathrm{.}16$

$$98\mathrm{.}43$

$$126\mathrm{.}33$

$$130\mathrm{.}98$

$$146\mathrm{.}04$

$$163\mathrm{.}82$