Suppose a processing step processes two products A and B$.$ The processing step can process $4$ units of A in an hour $($if it is only processing A$)$ and $6$ units of B in an hour $($if it is only processing B$).$

The process needs to maintain a $2$:$3$ ratio between the amounts of A and B produced $($i$.$e$.,$ for every two units of A$,$ the process needs to produce three units of B$).$

Based on this information, please answer the following questions.

Question $7)$ If the process needss to maintain the $2$:$3$ ratio between A and B produced, which of the following repeating production cycles should be choosen?

Group of answer choices

A$,$A$,$A$,$B$,$B$,...$

A$,$A$,$B$,$B$,$B$,...$

A$,$A$,$B$,$B$,....$

A$,$B$,$B$,$B$,$B$,....$

Question $8)$ What would be the capacity of the processing step $($in units$/$hr$)$ if it tries to maintain a $2$:$3$ ratio between A and B produced? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$

Question $9)$ What fraction of time does the processing step spend in producing A$.$Note you are being asked for a fraction and not a percentage. Your answer should be between $0$ and $1.$ If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$