Rebalay According to the relationship betweensupply, demand, the price of milk fish is higher that that of seaweed. In addition, although the amount of seaweed is large, it is light, so we cannot pursue maximizing weight Measuring harvest with the price of each species harvested, we have to differentiate the values of the species. Since it costs to feed the milkfish, we should take these costs into consideration when calculating the values of each species. We define the value of edible biomass as the sum of the values of each species harvested, minus the cost of milkfish feed. Task 5 Whenevaluating a commercial polyculture scheme, we usually consider not only the economic benefits of farming, but also try to ensure reaching a win-win between economy and environment under the premiss of keeping the ecological environment and water quality in god Hence, we establish the following optimal model to pursue the maxi- mum commercial benefits, with the premiss of not having water quality worsen. Combined with the previous polyculture system model, we es tablish the following nonlinear optimization model of balance to maximize the total values of harvest. It is a complex nonlinear single-objective opti mization model, since nonlinear differential equations are embedded into the constraints Objective function: max f =a1+b2+CC3+da4-lor where a, b, c, d are the unit market prices of the species and u is the feedstuff The constraints on water quality are: concentration ofof chlorophyll <0. 28 mg/mLr ● concentration of C≤196A/Land concentration of N 39 ug/L We can express these conditions in the equations involving the i as follows 0.0001x1-1.2785 ≤0.28, 0.756 16822202,15+0.14242,493]≤196 16822202,1.5+0.004x4242,493]≤39 In addition, we have the equality relations among the ri in(6) Such a complexoptimizationproblem cannot be solved directly with any software, so first we make a cycle simulation search (actually still a brute- force search) to find enough solutions meeting water quality conditions, and obtain intervals for the steady-state numbers of the species that meet the demands of water quality, as shown in Table 9Rebalancing "* According to the relationship between supply, demand, the price of milk￾fish is higher that that of seaweed. In addition, although the amount of seaweed is large, it is light, so we cannot pursue maximizing weight. "* Measuring harvest with the price of each species harvested, we have to differentiate the values of the species. Since it costs to feed the milkfish, we should take these costs into consideration when calculating the values of each species. We define the value of edible biomass as the sum of the values of each species harvested, minus the cost of milkfish feed. Task 5 When evaluating a commercial polyculture scheme, we usually consider not only the economic benefits of farming, but also try to ensure reaching a win-win between economy and environment under the premiss of keeping the ecological environment and water quality in good condition. Hence, we establish the following optimal model to pursue the maxi￾mum commercial benefits, with the premiss of not having water quality worsen. Combined with the previous polyculture system model, we es￾tablish the following nonlinear optimization model of balance to maximize the total values of harvest. It is a complex nonlinear single-objective opti￾mization model, since nonlinear differential equations are embedded into the constraints: Objective function: max f = ax1 + bx 2 + CX3 + dx 4 - where a, b, c, d are the unit market prices of the species and it is the feedstuff price. The constraints on water quality are: "* concentration of of chlorophyll < 0.28 mg/mL, "* concentration of C < 196 /Lg/L, and "* concentration of N < 39 Ag/L. We can express these conditions in the equations involving the xi as follows: 0.0001x, - 1.2785 0.756 1.68222x2 [0.2,11.5] + 0.1x 4[242, 493] < 196, 1.68222x2 [0.2, 11.5] + 0.004x41242, 493] _< 39. In addition, we have the equality relations among the xi in (6). Such a complex optimization problem cannotbe solved directly with any software, so first we make a cycle simulation search (actually still a brute￾force search) to find enough solutions meeting water quality conditions, and obtain intervals for the steady-state numbers of the species that meet the demands of water quality, as shown in Table 9