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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 $.05 per checkout while bagging (material) costs are $.1 per checkout with the old system and $.15 for the new system. The new lanes also require $100 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?


Definitions:

Drosophila Melanogaster

A species of fly commonly used in genetic research, known for its quick life cycle and relatively simple genome, which makes it an ideal model organism.

Genetically Dissimilar

Genetically dissimilar indicates a difference in the genetic makeup or DNA sequence among organisms, leading to diversity within species.

Chimeras

Organisms containing cells from two or more different species, often created through genetic engineering.

Zygotes

The initial cell formed when two gamete cells are joined by means of sexual reproduction.

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