let type A `= x`
let type B `= y`
Acc to question
`12x + 6y <= 360` <br>
`18x <= 360` <br>
`6x + 9y <= 300` <br>
Acc to graph
`a(0,40) , b(15,30) ,c(20, 20) , d(20, 0)`
to maximize, `7.5x + 5y= 200`
`7.5 xx 15 + 5 xx 30 = 262.5`
when `A= 15`
`B= 30`
Answer