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 mans all 4 self-checkouts per shift (answering questions, checking for un-scanned items, taking coupons, etc). Checkout on the new lanes takes 1.25 minutes (customers bag their own orders) while checkout with the old lanes took only 45 seconds. In addition, the electricity costs for both setups are $0.06 per checkout while bagging (material) costs are $0.12 per checkout with the old system and $0.20 for the new system. The new 4 self-checkout lanes also requires a total of $25 in capital costs per day. Assume that the lanes are always in use for 16 hours per day (2 shift), for the old system the average revenue per checkout is $12 and $10 for the new system, and a worker (cashier and bagger) makes $10/hour.
(a) How many checkouts did the old system provide in a shift?
(b) How many checkouts does the new system provide?
(c) What is the multifactor productivity for each system?