A wedding caterer has several wine shops from which it can order champagne. The

Question

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?

X1 = 40Y11 + 90Y12, Y11 + Y12 = 1

X1 40 Y11, X1 90(1 Y11)

X1 = 40Y11 + 90Y12, Y11 + Y12 1

X1 = 40Y1 + 90(1 Y1), Y1 = 0 OR 1

X1 = 40Y11 + 90Y12, Y11 + Y12 = 1

X1 40 Y11, X1 90(1 Y11)

X1 = 40Y11 + 90Y12, Y11 + Y12 1

X1 = 40Y1 + 90(1 Y1), Y1 = 0 OR 1

Explanation / Answer

Here

X1 = 40Y11 + 90Y12,

and Constraint is

Y11 + Y12 1

Option C is correct.

X1 = 40Y11 + 90Y12,

and Constraint is

Y11 + Y12 1

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