A company manufacturers toys of three brands A , B and C . Average number of toys manufactures per day by Three types of employees I, II and III are 14, 16, and 10 respectively .The mean daily production of the toys being 196 toys . two days due to strike only 1/4 of the II type of employees and III type of employees and 1/2 of the I type of employees attended the job and only 50 toys were manufactured . Find the number of employees of each type in the company, the total number of employees were 46 . solve this question by Matrix inversion .
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A company manufacturers toys of three brands A, B and C. Average number of toys manufactures per day by Three types of employees I, II and III are 14, 16, and 10 respectively
The mean daily production of the toys being 196 toys
To Find : the number of employees of each type in the company,
Solution:
Three types of employees I, II and III are X , Y & Z respectively
X + Y + Z = 46
14X + 16Y + 10Z = 196 => 7X + 8Y + 5Z = 98
14X/2 + 16Y/4 + 10Z/4 = 50/2
=> 14X + 8Y + 5Z = 100
X + Y + Z = 46 Eq1
7X + 8Y + 5Z = 98 Eq2
14X + 8Y + 5Z = 100 Eq3
Eq3 - Eq2 => 7X = 2 => X = 2/7
Mistake in data as people can not be in fraction
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