A. Let n2. If xiis a Boolean variable for all 1 in,
prove that
a) (x1 +x2 + +xn)= x1x2 xn
b) (x1x2 xn)=_ x1 +x2 + +xn
B. Let be a Boolean algebra that is partially ordered by . If
x,y,z, prove that x+yzif and only if xzand yz.
C.
State and prove the dual
WEEK 1:
Your boss has just heard about some nefarious computer activities called ping sweeps and port
scans. He wants to know more about them and what their impact might be on the company.
Write a brief description of what they are, and include your asses
1. Suppose there are two firms with one demand function. This same (common) demand
function is: [from HW]
Q = 1,000 40P
with MR = 25 0.05Q
However, each firm has its own cost function which is different. These two different cost
functions are shown below