Answer:
6.4%
Step-by-step explanation:
Given:
Productivity of new machine = 12% greater than last model
Number of new machines = -5%
Let's take number of machines = n
Take p as productivity of each machine.
Total productivity = np.
Productivity of new machine will be:
(100% + 12%) * p
= 112%.p
= 1.12p
Number of new machines will be:
(100% - 5%) * n
= 0.95n
From the calculations, total productivity will now be
1.12p * 0.95n
= 1.064np
Percentage Change in total productivity will be:
[tex] = \frac{new productivity - old productivity}{old productivity} * 100 [/tex]
[tex] = \frac{1.064np - np}{np} * 100 [/tex]
Converting np to 1 (or any number of your choice), we have:
[tex] = \frac{(1064*1)-1}{1} * 100 [/tex]
= 6.4%
Therefore, the percentage change = 6.4%
