assume we havesive species which can be in one of three classes: infant, immuture, or mature. The dynamics of the species is governed by the equation N_{t+1}= L N_{t}
where N_{t} is a vector of length 3 giving the area occupied by each class, and L is 3*3 matrix which specifies the fecundity and survival of the species in terms of spread.
Give perunit area costs c_{k} of culling individuals of type k, we wish to determine the optimal amount of class k to remove at the end of each year t=1,2-we denote these variables H_{k,t} in order to minimise the total area occupied by the invasive at the end of year 2.
Assume we have a maximum budget of \$C in each year

questionformulate this problem as a linear program
thanks in advance