Question descriptionSuppose that in the absence of human intervention the stock of tuna (z) would changeaccording to the following equation: dz/dt = 10z − 0.02z2. Furthermore, suppose E units offishing effort will produce a harvest of tuna (x) given by x = 0.02zE. Finally, suppose the costof E units of effort is $4E, where $4 is the wage rate, and that the price of tuna is constant at$1.5 dollar per unit of x.A. Find the profit-maximizing sustainable equilibrium for this model when the tuna arenot common property (that is, when the level of effort can be controlled). Solve forthe levels of Z, E, x and profit.