Use the Case Below to Answer the Following Question(s)

question 68

Multiple Choice

Use the case below to answer the following question(s) .
Rolling Inc.produces cars at two plants: Baltimore,Maryland,and Orlando,Florida.They ship them to major distribution centers in Minnesota,Dallas,Los Angeles,and Memphis.The Accounting,Production,and Marketing departments have provided the information in the table below,which shows the unit cost of shipping between any plant and distribution center to minimize the total transportation cost,not exceed available capacity,and meet customer demand. Suppose demand forecasts exceed the existing capacity and the company is considering adding a new plant from among two choices: Ohio or Kansas.Both plants would have a capacity of 3,000 units but only one can be built.The table below shows the revised data. Use double-subscripted variables to simplify the formulation.Define X_ij = amount shipped from plant i to distribution center j,where i = 1 represents Baltimore,and j = 1 represents Minnesota.
Define a binary variable for the decision of which plant to build: Y₁ = 1 if the Ohio plant is built,and Y₂ = 1 if the Kansas plant is built.
-To guarantee that only one new plant is built,we must have the constraint ________.

• A)Y₁ > 1
• B)Y₁ + Y₂ ≤ 1
• C)Y₁ + Y₂ = 1
• D)Y₁ + Y₂ ≥ 1

---

Definitions:

Administrative Tribunal

A governmental body with quasi-judicial powers, tasked with resolving disputes, adjudicating on rights, and administering justice in administrative matters.

Ultra Vires

Acts or decisions made by an entity that are beyond the scope of its powers as defined by its legal or constitutional documentation.

Constitution Act

A foundational legal document or statute that outlines the principles and framework of a governmental system.

Natural Justice

The principle that ensures fair treatment in legal and administrative decisions, including the right to a fair hearing and the rule against bias.