Reconsider the Heavy Duty Co$,$ problem that was presented as Example $2$ in Section $12\mathrm{.}1.$ For each of the following three options in parts a through c$,$ obtain an estimate of the expected cost per day by using Analytic Solver to perform $1,000$ trials of a computer simulation of the problem on a spreadsheet. Estimate the mean and generate a frequency chart.

a$.$ The option of not replacing a$$ motor until a breakdown occurs.

b$.$ The option of scheduling the replacement of a motor after four days $($but replacing it sooner if a break$$down occurs$).$

c$.$ The option of scheduling the replacement of a motor after five days $($but replacing it sooner if a break$$down occurs$).$

d$.$ An analytical result of $$2,000$ per day is available for the expected cost per day if a motor is replaced every three days. Comparing this option and the above three, which one appears to minimize the expected cost per day?Reconsider the Heavy Duty Co$,$ problem that was presented as Example $2$ in Section $12\mathrm{.}1.$ For each of the following three options in parts a through c$,$ obtain an estimate of the expected cost per day by using Analytic Solver to perform $1,000$ trials of a computer simulation of the problem on a spreadsheet. Estimate the mean and generate a frequency chart.

a$.$ The option of not replacing a$$ motor until a breakdown occurs.

b$.$ The option of scheduling the replacement of a motor after four days $($but replacing it sooner if a break$$down occurs$).$

c$.$ The option of scheduling the replacement of a motor after five days $($but replacing it sooner if a break$$down occurs$).$

d$.$ An analytical result of $$2,000$ per day is available for the expected cost per day if a motor is replaced every three days. Comparing this option and the above three, which one appears to minimize the expected cost per day?