set C;
set S;

param alpha{C};
param gamma{C};
param p{S};
param D{C,S};
param K;

var x{C} >= 0;
var y{C,S} >= 0;

maximize Profit:
	 sum{c in C, s in S} p[s] * gamma[c] * y[c,s];

subject to Seats:
	sum{c in C} alpha[c] * x[c] <= K;

subject to SeatsReserved{c in C, s in S}:
	y[c,s] <= x[c];

subject to Demand{c in C, s in S}:
	y[c,s] <= D[c,s];