optimization: multiple assignment problem

Hello,
I'm trying to solve a multiple assignment problem.
I found a package Adagio and its function mknapsack which
maximize vstar = p(1)*(x(1,1) + ... + x(m,1)) + ... ... + 
                 p(n)*(x(1,n) + ... + x(m,n))
subject to w(1)*x(i,1) + ... + w(n)*x(i,n) <= k(i) for i=1,...,m
x(1,j) + ... + x(m,j) <= 1 for j=1,...,n x(i,j) = 0 or 1 
    for i=1,...,m , j=1,...,n ,
It's close to what I'm trying to do except that
1)k(i) = k for any I (not an issue)
2)p is dependent of the item AND the knapsack
3)each item must be assigned
maximize vstar = p(1,1)*x(1,1) + ... + p(m,1)*x(m,1) + ... ... + 
                            p(1,n)*x(1,n) + ... + p(m,n)*x(m,n)
with p(j,i) profit of assigning item i to knapsack j
subject to w(1)*x(i,1) + ... + w(n)*x(i,n) <= k for i=1,...,m
x(1,j) + ... + x(m,j) = 1 for j=1,...,n x(i,j) = 0 or 1 
     for i=1,...,m , j=1,...,n ,
It would be really helpful if you could indicate me any package, 
function that would solve my problem?
Thanks in advance,
Best regards,
Jean-Fran?ois