An electronics company has two production facilities, A and B. During an average week, facility A produces $3000$ computer monitors and $6000$ flat panel televisions, and facility B produces $2000$ computer monitors and $8000$ flat panel televisions.

(a) Give vectors that give the weekly production amounts at A and B, respectively.

Production at A is given by $a=$

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$

Production at B is given by $b=$

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$

(b)

Compute $10 b=$

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$

The entries tell us that in plant B, the company produces computer monitors and flat panel televisions over a period of weeks.

( c) Determine the combined output from plants A and B over a $8$-week period. Over that period we produce computer monitors and flat panel televisions.

(d) Determine the number of weeks of production from A and B required to produce $24000$ monitors and $60000$ televisions. For that production we need weeks at plant A and weeks at plant B.