Consider the following function with three variables, y $=($x$1-$ x$2)$x$3.$ In the most likely scenario, the values of x$1,$ x$2,$ and x$3$ are $51,32,$ and $5,$ respectively. In the worst$-$case scenario, the values of the three variables are $40,37,$ and $4\mathrm{.}5,$ respectively. In the best$-$case scenario, the values of the variables are $56,27,$ and $5\mathrm{.}5,$ respectively. Conduct a risk analysis for the three scenarios and answer the following questions.

a What is the value of y in each of the three scenarios?$$Note: Round your answers to $1$ decimal place.$$

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i Scenario

j Value of y

k Worst case

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m Most likely case

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o Best case

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r $$

s What is the range of y$?$Note: Round your answer to $1$ decimal place.$$

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a The range of y

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c

d $$

e If the value of x$1$ in the best$-$case scenario changes from $56$ to $50,$ what is the value of y$?$Note: Round your answer to $1$ decimal place.$$

f

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m The value of y

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p