De Leon Engineering designs and constructs air conditioning and heating$($HVAC$)$ systems for hospitals and clinics. Currently the$$ company's staff is overloaded with design work. There is a major design project due in $9$ weeks. The penalty for completing the design late is $$$$14,000$ per$$ 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. Owner Roberta De Leon has estimated that it will cost $$$$13,000$ per week$($wages and$$ overhead$),$ including late$$ weeks, to have company engineers complete the design. Roberta is also considering having an outside engineering firm do the design. A bid of $$$$85,000$ has been received for the completed design. Yet another option for completing the design is to conduct a joint design by having a third engineering company complete all electromechanical components of the design at a cost of $$$$54,000.$ De Leon Engineering would then complete the rest of the design and control systems at an estimated cost of $$$$30,000.$ Roberta has estimated the following probabilities of completing the project within various time frames when using each of the three options. Those estimates are shown in the following$$ table:

Probability of Completing the Design

Option

On Time

One Week Late

Two Weeks Late

Three Weeks Late

Internal Engineers

$0\mathrm{.}4$

$0\mathrm{.}4$

$0\mathrm{.}2$

$$

External Engineers

$0\mathrm{.}3$

$0\mathrm{.}3$

$0\mathrm{.}2$

$0\mathrm{.}2$

Joint Design

$0\mathrm{.}1$

$0\mathrm{.}4$

$0\mathrm{.}4$

$0\mathrm{.}1$

Part $2$

The expected monetary value using inside engineers to complete the design is $$$enter your response here. $($Enter your response as an integer.$)$

Part $3$

The expected monetary value using an outside engineering firm to complete the design is $$$enter your response here. $($Enter your response as an integer.$)$

Part $4$

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

Part $5$

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

Joint design

Joint design

Internal engineers

Internal engineers

External engineering firm

External engineering firm