A company wants to select 2 products from a set of four possible products.Which of the following constraints ensures that no more than 3 will be selected?
A)XA + XB + XC + XD = 3
B)XA + XB + XC + XD ≥ 0
C)XA + XB + XC + XD ≤ 3
D)XA + XB + XC + XD ≥ 3
E)XA + XB + XC + XD ≠ 3

Question

Quizplus · Accepted Answer

The constraint that limits the number of selected products to no more than 3 is "XA + XB + XC + XD ≤ 3". This is because if we select all four products (XA = XB = XC = XD = 1), the left side of this constraint becomes 4, which violates the constraint. On the other hand, if we select any two or three products, the left side of the constraint will be 2 or 3, respectively, which satisfies the constraint. Therefore, the correct answer is C.

A Company Wants to Select 2 Products from a Set