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 = L

where 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 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 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