A company has decided to use 0−1 integer programming to help make some investment decisions. There are three possible investment
alternatives from which to choose, but if it is decided that a particular alternative is to be selected, the entire cost of that alternative will be incurred (i.e., it is impossible to build one-half of a factory). The 0-1 integer programming model is as follows:MAX Z = 5000 X1 + 7000 X2 + 9000 X3s.t. 25000 X1 + 32000 X2 + 29000 X3 ≤ 62000 ........... (1)X1 + X2 + X3 ≤ 2 .............................................. (2)-X1 + X2 ≤ 0 ..................................................... (3)16 X1 + 14 X2 + 19 X3 ≤ 36 .............................. (4)All X1, X2, X3 must be either 0 or 1where X1 = 1 if alternative 1 is selected, 0 otherwiseX2 = 1 if alternative 2 is selected, 0 otherwiseX3 = 1 if alternative 3 is selected, 0 otherwiseSuppose you wish to add a constraint that stipulates that both alternative 1 and alternative 3 must be selected. How would this constraint be written?The correct answer is: X1 + X3 = 2, so I want to know how
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Answer: The correct option is (B) less than 2.
Step-by-step explanation: Given that Y varies directly with X and has a constant rate of change of 6.
We are to find the possible value of X when the value of Y is 11.
Since Y varies directly with X, so we can write
Since the rate of change is constant and is equal to 6, so we must have
So, from equation (i), we have
Now, when Y = 11, then from equation (ii), we get
Thus, the value of X is less than 2 when Y = 11.
Option (B) is CORRECT.