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

question 100

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.
-Which of the following is the capacity constraint that is related to the Ohio plant?

• A)X₃₁ + X₃₂ + X₃₃ + X₃₄ ≥ 3,000Y₂
• B)X₃₁ + X₃₂ + X₃₃ + X₃₄ ≤ 3,600
• C)X₃₁ + X₃₂ + X₃₃ + X₃₄ ≤ 1,400
• D)X₃₁ + X₃₂ + X₃₃ + X₃₄ ≤ 3,000Y₁

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Definitions:

Interest Rate

The cost of borrowing money or the reward for saving, usually expressed as a percentage of the principal amount per annum.

Years From Now

This term projects a future timeline or point in time from the present moment.

Interest Rate

The amount charged on top of the principal by lenders to borrowers, usually expressed as an annual percentage of the loan.

Interest Rate

The interest rate is the percentage of the principal charged by a lender to a borrower for the use of assets, typically expressed as an annual percentage.