$解:(2)①当0<x≤5时,∵y_{1}=45x,y_{2}=50x$
$∴y_1<y_{2}$
$∴选择A方案更优惠$
$②当x\gt 5时,∵y_{1}=45x,y_{2}=50+40x$
$分三种情况$
$(\mathrm {i})当y_1=y_2时,45x=50+40x,∴x=10$
$(\mathrm {ii})当y_1\gt y_2时,45x \gt 50+40x,∴x \gt 10$
$(\mathrm {iii})当y_1<y_{2}时,45x<50+40x,∴x<10$
$综上,当购买10盒时,A,B两种方案一样优惠$
$当购买小于10盒时,A方案更优惠;$
$当购买大于10盒时,B方案更优惠$