Problem $1$: Payoff Matrix $(2\mathrm{.}5$ points$)$

This problem looks at limiting the costs of a decision. The method is basically the same as for the example in the lecture, but the answers will be different because lower outcomes are favored. In this problem, an engineering firm is working on a project and wants to keep its data safe from computer viruses. The project is expected to take $30$ days to complete. Any computer virus that destroys the data and will result in a $$50,000$ loss. The project manager has three choices for protecting the company$$s data:

$1.$ Take no action, which will obviously not cost any money.

$2.$ Hire an IT worker at a cost of $$12$ per hour $($minimum$)$ for eight hours per day. This worker will ensure the safety of the data against potential "ordinary" viruses.

$3.$ Purchase a safety system for $$5,000,$ which will download all the data to a secure location and ensure its safety against any type of virus.

The project manager has determined that there is a $70\%$ chance that there will be no obstructive virus during the project, a $25\%$ chance that an "ordinary" virus could affect the project, and a $5\%$ chance that a "super" virus could affect the project.