There Are Three Work Centers (A,B,and

question 137

Essay

There are three work centers (A,B,and
C)behind the financial aid counter at a nearby university.They can each fit into any of three office spaces (1,2,and 3)off the corridor behind the desk.There is no student contact in these areas,only workers.The distance 1-2 is 20 feet,2-3 is 30 feet,and 1-3 is 50 feet.The matrix of work (trips per day)at the three centers are shown in the following table.Remember that each trip must be a round-trip (from 1 to 2 and back,for example).

(a)How many possible assignments are there? List them.
(b)Calculate the total distance traveled in each of these assignments.
(c)Which assignment minimizes distance traveled?

---

Definitions:

Marginal Rate of Substitution

The rate at which a consumer is willing to give up one good in exchange for another good, while maintaining the same level of utility.

Good Y

A generic term used to denote a particular good or product in economic models.

Units

Refers to a measurement or quantity of something, often used in the context of production, sales, or inventory in various industries.

Utility Function

A function that reflects the satisfaction or utility a consumer derives from consuming goods or services.