Answer:
8 weeks of production from A and 4 weeks of production of B required to produce 28,000 monitors and 132,000 televisions.
Step-by-step explanation:
Let the number of weeks of production for team A be x and for team B be y.
In a week, facility A produces 2,000 computer monitors.
In a week ,facility A produces 3,000 computer monitors.
Total monitors to be produced = 28,000
[tex]2000x+3000y=28,000[/tex]
[tex]2x+3y=28[/tex]..[1]
In a week, facility A produces 10,000 flat panel televisions.
In a week ,facility A produces 13,000 flat panel televisions.
Total flat panel televisions to be produced = 132,000
[tex]10,000x+13,000y=132,000[/tex]
[tex]10x+13y=132[/tex]..[2]
Solving equation [1] and [2] by eliminationg method.
5 × [1] + (-1) × [2]
[tex]10x+15y=140[/tex]
[tex]-10x-13y=-132[/tex]
y = 4
[tex]x = \frac{28-3\times 4}{2}=\frac{16}{2}=8[/tex]
8 weeks of production from A and 4 weeks of production of B required to produce 28,000 monitors and 132,000 televisions.