A Wedding Caterer Has Several Wine Shops from Which It

Multiple Choice

A wedding caterer has several wine shops from which it can order champagne. The caterer needs 100 bottles of champagne on a particular weekend for 2 weddings. The first supplier can supply either 40 bottles or 90 bottles. ​
The relevant decision variable is defined as
​
X₁ = the number of bottles supplied by supplier 1
​
Which set of constraints reflects the fact that supplier 1 can supply only 40 or 90 bottles?

A) X₁ ≤ 40 Y₁₁, X₁ ≤ 90(1 − Y₁₁)
B) X₁ = 40Y₁₁ + 90Y₁₂, Y₁₁ + Y₁₂ ≤ 1
C) X₁ = 40Y₁ + 90(1 − Y₁) , Y₁ = 0 OR 1
D) X₁ = 40Y₁₁ + 90Y₁₂, Y₁₁ + Y₁₂ = 1