To make 200 of the first type of shirt, they will need 200*3=<<200*3=600>>600 buttons.
To make 200 of the second type of shirt, they will need 200*5=<<200*5=1000>>1000 buttons.
To manufacture 200 each of both types of shirts, they will need to use 600+1000=1600 buttons.
#### 1600