Answer
Factory 1: 126 acoustic guitars, 180 electric guitars.
Factory 2: 180 acoustic guitars, 114 electric guitars.
Factory 3: 114 acoustic guitars, 170 electric guitars.
Work Step by Step
First multiple 1.2 for matrix A
A = ( 84 60 30
42 120 84
Then, we sum the values in each column to find the total production of each type of guitar:
Factory 1 produces: 84 + 42 = 126 acoustic guitars and 60 + 120 = 180 electric guitars.
Factory 2 produces: 60 + 120 = 180 acoustic guitars and 30 + 84 = 114 electric guitars.
Factory 3 produces: 30 + 84 = 114 acoustic guitars and 70 + 100 = 170 electric guitars.
Therefore, the total production of each type of guitar per factory, if the production is increased by 20%
