Perform both sop and pos optimization for f(a, b,c, d) = ∑m(5,7,11,13,14), assuming that a and b can never both be 0 at the same time, and that c and d can never both be 0 at the same time (i. e., there are don’t cares). compare your results by estimating the number of transistors required for each solution.

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers