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A Grocery Chain Is Considering the Installation of a Set

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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. One cashier mans all 4 self-checkouts (answering questions, checking for un-scanned items, taking coupons, etc). Checkout on the new lanes takes 2 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 $0.05 per checkout while bagging (material) costs are $0.10 per checkout with the old system and $0.15 for the new system. The new lanes also require $100/shift in capital costs. Assume that the lanes are always in use for 8 hours per day (1 shift) and that a worker 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?

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Definitions:

Direct Labor Costs

Expenses associated with the wages and benefits of employees who are directly involved in the production of goods or services.

Budgeted Manufacturing Overhead

Budgeted manufacturing overhead is the estimated amount of indirect costs that are expected to be incurred in the manufacturing process during a specified period.

Direct Labor-hour

A measure of the total amount of time worked by employees directly involved in manufacturing a product or providing a service.

Budgeted Manufacturing Overhead

The estimated overhead costs a company anticipates for manufacturing activities within a specified budget period, used for planning and control purposes.

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