An operator is assigned four machines that experience an expected downtime of $49\%.$ When running, each machine produces $80$ units per hour. The operator's hourly wage is $$13\mathrm{.}00,$ and the cost to operate a machine is $$70\mathrm{.}00$ per hour. Is it worth it to hire an additional operator to reduce downtime and keep the machines operating efficiently? Compare and contrast the probability, machine hours lost per $8$hr day, and the TEC for $1,2,3,$ and $4$ operators. Show complete work in Excel

ENTER ONLY NUMERICAL VALUES ROUNDED TO TWO DECIMAL PLACES IN THE TEXT BOXES BELOW. DO NOT INCLUDE UNITS. HOWEVER, MAKE SURE TO INCLUDE UNITS IN EXCEL.

What is the proportion $($in $\%)$ of machine time $($in minutes$)$ lost for $1$ operator? Blank $1$

What is the proportion $($in $\%)$ of machine time $($in minutes$)$ lost for $2$ operators? Blank $2$

What is the proportion $($in $\%)$ of machine time $($in minutes$)$ lost for $3$ operators? Blank $3$

What is the proportion $($in $\%)$ of machine time $($in minutes$)$ lost for $4$ operators? Blank $4$

What is the average time in minutes to produce one unit per machine in the case of $1$ operator? Blank $5$

What is the average time in minutes to produce one unit per machine in the case of $2$ operators?Blank $6$

What is the average time in minutes to produce one unit per machine in the case of $3$ operators? Blank $7$

What is the average time in minutes to produce one unit per machine in the case of $4$ operators? Blank $8$

What is the number of units per minute produced by n machines in the case of $1$ operator? Blank $9$

What is the number of units per minute produced by n machines in the case of $2$ operators? Blank $10$

What is the number of units per minute produced by n machines in the case of $3$ operators? Blank $11$

What is the number of units per minute produced by n machines in the case of $4$ operators? Blank $12$

What is the total expected cost per unit in the case of $1$ operator? Blank $13$

What is the total expected cost per unit in the case of $2$ operators? Blank $14$

What is the total expected cost per unit in the case of $2$ operators? Blank $15$

What is the total expected cost per unit in the case of $4$ operators? Blank $16$

What is the preferred number of operators?$$Explain your decision in your Excel file. Blank $17$