Problem $(2)$: $\backslash$table$[[,$Time is given in minutes$],[$Operation$,$Concurrent activity time,$\backslash$table$[[$Machining$],[$Time$]],$Operator activity time$],[$M$1,1\mathrm{.}5,5,4],[$R$1,2,10,4],[$M$2,3,6,6],[$M$3,2,4\mathrm{.}5,3],[$R$2,4,11,5],[$M$4,2\mathrm{.}5,4,2\mathrm{.}5]]$

c$.$ Suppose the cost per operator$-$hour is $$15$ and the cost per machine$-$ hour is $$28.$ Determine the cost per unit produced by the number of machine assignment for each operation, and then select the best choice of the number of machines assigned to an operator.

d$.$ Using part $($c$)$ and the information given in the table below. Calculate the minimum space in sqft required for a department containing all the above machines. Assume an aisle allowance of $15\%$ of the total area of the department.

$\backslash$table$[[$Operation$,\backslash$table$[[$Personal Space $($L x$],[$W$)]],\backslash$table$[[$Font Prints $($L x$],[$W$)]],\backslash$table$[[$Material$],[$Space$]],\backslash$table$[[$Max$.$ Travel$],[($L$)]],$Max. Travel $($W$)],[$M$1,5\backslash$times $4$ sqft$,12\backslash$times $6$ sqft$,20$ sqft$,4,0],[$R$1,6\backslash$times $4$ sqft$,10\backslash$times $8$ sqft$,25$ sqft$,6,2],[$M$2,5\backslash$times $4$ sqft$,12\backslash$times $6$ sqft$,15$ sqft$,3,1],[$M$3,5\backslash$times $4$ sqft$,12\backslash$times $6$ sqft$,30$ sqft$,0,4],[$R$2,6\backslash$times $4$ sqft$,10\backslash$times $8$ sqft$,20$ sqft$,6,3],[$M$4,5\backslash$times $4$ sqft$,12\backslash$times $6$ sqft$,25$ sqft$,2,4]]$

Given the information in problem $(1)$ and the information in the table below

Assume operations M$1,$ M$2,$ M$3,$ and M$4$ run for $8$ hours per day, five days per week. R$1,$ and

R $2$ are available for $6$ hours per day, five days per week.

a$.$ How many machines are needed to perform each operation?

b$.$ Considering the modifications provided in the table below, calculate the optimum number

of identical machines for each operation to assign an operator.