A company is deciding which projects to undertake for the next year. Following are some constraints faced by the company:

1. Project 2 can only be started if Project 1 is also accepted.
2. Out of projects 3, 4, 5, and 6, at most two projects can be accepted.
3. If project 2 and 3 are both accepted, project 7 must also be accepted.

Let Pn be the binary variable deciding whether or not Project n will be accepted (0 = rejected, 1 = accepted). How can the company formulate these constraints using binary variables?

A)P2 P1

P3 + P4 + P5 + P6 2

P2 P3 = P7

B)P2 P1

P3 + P4 + P5 + P6 2

P2 P3 = P7

C) P1 P2

P3 + P4 + P5 + P6 2

P2 + P3 = P7

D) P2 P1

P3 + P4 + P5 + P6 2

P2 + P3 = P7