Question

An electronics company has two production facilities, denoted A and B. During an average week, facility A produces 2000 computer monitors and 10,000 flat panel televisions, and facility B produces 3000 computer monitors and 13,000 flat panel televisions.
Determine the number of weeks of production from A and B required to produce 28,000 monitors and 132,000 televisions.

Answer 1

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

$2000x+3000y=28,000$

$2x+3y=28$..[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

$10,000x+13,000y=132,000$

$10x+13y=132$..[2]

Solving equation [1] and [2] by eliminationg method.

5 × [1] + (-1) × [2]

$10x+15y=140$

$-10x-13y=-132$

y = 4

$x = \frac{28-3\times 4}{2}=\frac{16}{2}=8$

8 weeks of production from A and 4 weeks of production of B required to produce 28,000 monitors and 132,000 televisions.