2640*(9/20) = 1 188
1638 I don't know how to work it out.
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The production capacity of a factory:
Coat: 448/(8/ 15) = 840
Pants: 448/(7/ 15) = 960
Production capacity of factory b:
Coat: 720/(2/5) = 1800
Pants: 720/(3/5) = 1200
After the merger, suppose:
X (0
Y (0
Then, (coat = trousers = a set)
840 * x+ 1800 * y = 960 *( 1-x)+ 1200 *( 1-y)( 1)
840 * x+960 * x+ 1800 * y+ 1200 * y = 960+ 1200
1800 x+3000 x y = 2 160
The solution is y=( 18- 15*x)/25 (2).
Substitute to the left of (1)
840 * x+ 1800 *[( 18- 15 * x)/25]
=840*x+ 1296- 1080*x
= 1296-240*x
When x=0, the maximum number of sets is 1296.
At this time y= 18/25.
Factory:
Coat: 0
Pants: 960
Factory b:
Coat:1800 * (18/25) =1296
Pants: 1200*(7/25) = 336