Taio Noel holds the following portfolio:

$\backslash$table$[[$Stock$,$Investment,Beta$],[$A$,$$$170,000,1\mathrm{.}40],[$B$,$$$68,000,0\mathrm{.}80],[$C$,$$$85,000,1\mathrm{.}00],[$D$,$$$102,000,1\mathrm{.}20],[$Total$,$$$425,000,]]$

Taio plans to sell Stock A and replace it with Stock E$,$ which has a beta of $0\mathrm{.}40.$ By how much will the portfolio beta change? Do not round your intermediate calculations.

a$.-0\mathrm{.}100$

b$.-0\mathrm{.}250$

c$.-0\mathrm{.}400$

d$.-0\mathrm{.}160.$

e$.-0\mathrm{.}200$