PLEASE SHOW all WORK ON HOW IT WAS SOLVED $($typed$)$ Thank you!

A grocery chain is considering the installation of a set of $4$ self$-$checkout lanes. The new self$-$checkout lane setup will replace $2$ old cashier lanes that were staffed by a cashier and bagger on each lane per shift. One cashier alone covers all $4$ self$-$checkouts per shift $($answering questions, checking for un$-$scanned items, taking coupons, etc$).A_{{?}_{?}}$ checkout on the new lanes takes $1\mathrm{.}5$ minutes $($customers bag their own orders$)$ while checkout with the old lanes took only $40$ seconds. In addition, the electricity costs for both setups are $$0\mathrm{.}04$ per checkout while bagging $($material$)$ costs are $$0\mathrm{.}12$ per checkout with the old system and $$0\mathrm{.}25$ for the new system. The $4$ new self$-$checkout lanes also require $$\frac{25}{?}$ shift$/$lane in capital costs $($new computer system$).$ Assume that the lanes are always in use for $16$ hours per day $(2$ shift$/$day$),$ the average revenue per checkout is $$16,$ and that a worker $($cashier and bagger$)$ makes $$\frac{14}{?}$ hour. $($Total $10$ Points$)$

$\backslash$table$[[,$Old,New$],[$No$.$ of Employees,$4$ per shift $=8$ per day,$1$ per shift $=2$ per day$],[$No$.$ of lanes,$2,4],[$Shift hrs$,8,8],[$Shifts$/$day$,2,2],[$Checkout time,$40$ seconds per co$,1\mathrm{.}5$ min per co$],[$Electricity$,0\mathrm{.}04$ per co$,0\mathrm{.}04$ per co$],[$Bags$,0\mathrm{.}12$ per co$,0\mathrm{.}25$ per co$],[$Fix$,,$$$25/$shift$/$lane$],[$Revenue$,$$$16$ per co$,$$$16$ per co$],[$Labor$,$$$14$ per hr$,$$$14$ per hr$]]$

co $-$ checkout

a$.$ How many checkouts could the old system provide per shift?

b$.$ How many checkouts does the new system provide per shift?

c$.$ What is the unit$-$less multifactor productivity for each system $($old or new$)?$

d$.$ Which checkout system is more productive and what is the percent change in productivity for the new system relative to the old system $(($new$-$old$)/$old$*100)?$