Sox Engineering designs and constructs air conditioning and heating $($HVAC$)$ systems for hospitals and clinics.

Currently the company's staff is overloaded with design work. There is a major design project due in $7$ weeks. The

penalty for completing the design late is $$14,000$ per week, since any delay will cause the facility to open later

than anticipated, and cost the client significant revenue. If the company uses its inside engineers to complete

the design, it will have to pay them overtime for all work. Sox has estimated that it will cost $$10,000$ per

week $($wages and overhead$),$ including late weeks, to have company engineers complete the design. Sox is also

considering having an outside engineering firm do the design. A bid of $$85,000$ has been received for the completed

design. Yet another option for completing the design is to conduct a joint design by having a third engineering

company complete all electromechanical components of the design at a cost of $$54,000.$ Sox would then complete

the rest of the design and control systems at an estimated cost of $$32,000.$ Sox has estimated the following

probabilities of completing the project within various time frames when using each of the three options. Those

estimates are shown in the following table:

Probability of Completing the Design

The expected monetary value using inside engineers to complete the design is $$91,600.($Enter your response as

an integer.$)$

The expected monetary value using an outside engineering firm to complete the design is $$106,000\text{'}.($Enter your

response as an integer.$)$

The expected monetary value of conducting a joint design is $$107,000.($Enter your response as an integer.$)$

What is the best decision based on an expected monetary value criterion?

Joint design

Internal engineers

External engineering firm