A processor makes two components, A and B$,$ which are then packaged together as the final product $($each product sold contains one A and one B$).$ The processor can do only one component at a time: either it can make As or it can make Bs$.$ There is a setup time when switching from A to B$.$

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Current plans are to make $100$ units of component A$,$ then $100$ units of component B$,$ then $100$ units of component A$,$ then $100$ units of component B$,$ and so forth, where the setup and run times for each component are given as follows:

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COMPONENTSETUP$/$CHANGEOVER TIMERUN TIME$/$UNITA$3$minutes$0\mathrm{.}2$minuteB$5$minutes$0\mathrm{.}1$minute

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Assume the packaging of the two components is totally automated and takes only two seconds per unit of the final product. This packaging time is small enough that you can ignore it$.$

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What is the average hourly output, in terms of the number of units of packaged product $($which includes one component A and one component B$)?($Round your intermediate calculations to $3$ decimal places and final answer to $1$ decimal place.$)$

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The firm$$s management is thinking of assigning two people to each project in order to allow them to specialize and become more efficient. The process would require the data gatherer to fill out a matrix on the computer, check it$,$ and transmit it to the statistical analysis program for the analyst to complete. Data can be gathered on one project while the analysis is being completed on another, but the analysis must be complete before the statistical analysis program can accept the new data. After some practice, the new process can be completed with a standard time of $20$ minutes for the data gathering and $25$ minutes for the analysis.

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a$-1.$ What is the production $($output per hour$)$ for each alternative? $($Round your answers to $2$ decimal places.$)$

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a$-2.$ What is the productivity $($output per labor hour$)$ for each alternative? $($Round your answers to $2$ decimal places.$)$

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b$-1.$ How long would it take to complete $1,000$ projects with each alternative? $($Round your answer to $1$ decimal place.$)$

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b$-2.$What would be the labor content $($total number of labor hours$)$ for $1,000$ projects for each alternative? $($Round your answer to $1$ decimal place.$)$