i have saving which is $100000$ and i have to to invest this in different funds. there are international funds in which there are for funds I$1$ return rate $7\%,$ size of the funds $6000000$ and commision rate is $1\%($of the money i invest$)$ I$2($ return $5\%,$ size $7$mil, comm $1,4\%,$ I$3($ ret $8\%,$ size $4$ mil, com $1,3\%,$ I$4($ret $2\%,$ size $8$ mil, com $1,5\%.$ then there are domestic funds. A$1($ RET $6\%,$ size$6$mil com $1,4\%)$ A$2($ret $4\%,$ size $7$mil $,$ com $0\mathrm{.}9\%)$ A$3($retu $3\%,$ size $8$milm com $0\mathrm{.}8\%)$ A$4($ ret $9\%,$ size $5$ mil, com $1,3\%).$ retirement funds P$1($ return $6\%,$ size $5$mil, commission $1,2\%)$ P$2($ ret $4\%,$ size $8$ mil, com $1,5\%)$ P$3($ return $5\%,$ size $3$mil $,$ comm$1\mathrm{.}6\%)$ there are obligations B$1($ ret $8\%,$ size $6$mil, com $1,8\%)$ B$2($ret $2\%,$ size $9$mil com $0\mathrm{.}9\%)$ B$3($ret $7\%,$ size $4$million, com $1,4\%)$ B$4($ret $7\%,$ size $3$mil, com $1\mathrm{.}3\%).$ there anre constraints. $1)$ i have to invest in at least one funds from each type$($at least $1$ from I$1,$I$2,$I$3,$I$4),$ at least one from A$1,$A$2,$A$3,$A$4,$ at least $1$ from P$1,$P$2,$P$3$ and at least one from B$1,$B$2,$B$3,$B$4)\mathrm{.}2)$ average size of the funds i invest in must be more than $4\mathrm{.}5$ million $3)$ average commision rate of the funds i invested in must be maximum $1\mathrm{.}3\%.4)$ i must invest in international funds $($I$1,$I$2,$I$3,$I$4)$ min $12\%$of my savings$($so $12\%$of $100000)$ and max $40\%5)$ i must invest in domestic funds $($A$1,$A$2,$A$3,$A$4)$min $5\%$ of my saving and max $25\%6)$ in retirement funds $($P$1,$P$2,$P$3)$ min $10\%$ and max $30\%,7)$in obligations min $15\%$ and max $45\%.$ i need to solve this problem in QM for windows $.$