Consider the location$/$transportation model below where xij $=1$ if market j is supplied by plant i and $0$ otherwise; yi $=1$ if plant i is opened and $0$ otherwise.

Objective: Minimize $12000$y$1+10000$y$2+14000$y$3+4800$x$11+4800$x$12+4000$x$21+8400$x$22+6000$x$31+10800$x$32$

Constraint type A: x$11+$ x$21+$ x$31=1$; x$12+$ x$22+$ x$32=1$

Constraint type B: $40$x$11+60$x$12<=80$y$1$; $40$x$21+60$x$22<=100$y$2$; $40$x$31+60$x$32<=90$y$3$

What are the capacities of the plants?

$80$ for the first plant, $100$ for the second plant, $90$ for the third plant

$80$ for the first plant, $100$ for the second plant, $80$ for the third plant

$12000$ for the first plant, $10000$ for the second plant, $14000$ for the third plant

$40$ for the first plant, $60$ for the second plant