To solve this optimization problem, we first need to define the variables, objective function, and constraints using Gurobi's Python API.

```python
import gurobi as gp

# Define the variables
model = gp.Model("optimization_problem")

# Variables
apple_trees = model.addVar(lb=0, ub=None, vtype=gp.GRB.INTEGER, name="apple_trees")
tomato_vines = model.addVar(lb=0, ub=None, vtype=gp.GRB.INTEGER, name="tomato_vines")
pansies = model.addVar(lb=0, ub=None, vtype=gp.GRB.INTEGER, name="pansies")
strawberry_bushes = model.addVar(lb=0, ub=None, vtype=gp.GRB.INTEGER, name="strawberry_bushes")
verbenas = model.addVar(lb=0, ub=None, vtype=gp.GRB.INTEGER, name="verbenas")
chives = model.addVar(lb=0, ub=None, vtype=gp.GRB.INTEGER, name="chives")

# Objective function
model.setObjective(4 * apple_trees + tomato_vines + 9 * pansies + 9 * strawberry_bushes + 5 * verbenas + 5 * chives, gp.GRB.MINIMIZE)

# Constraints
# Water need constraints
model.addConstr(14 * apple_trees + 13 * tomato_vines + 10 * pansies + 8 * strawberry_bushes + 14 * verbenas + 5 * chives <= 189, "water_need")
model.addConstr(13 * tomato_vines + 14 * verbenas >= 10, "tomato_vines_verbenas_water")
model.addConstr(13 * tomato_vines + 8 * strawberry_bushes >= 24, "tomato_vines_strawberry_bushes_water")
model.addConstr(10 * pansies + 5 * chives >= 30, "pansies_chives_water")
model.addConstr(14 * verbenas + 5 * chives >= 20, "verbenas_chives_water")
model.addConstr(14 * apple_trees + 8 * strawberry_bushes >= 11, "apple_trees_strawberry_bushes_water")
model.addConstr(8 * strawberry_bushes + 14 * verbenas + 5 * chives >= 28, "strawberry_bushes_verbenas_chives_water")
model.addConstr(14 * apple_trees + 10 * pansies + 5 * chives >= 28, "apple_trees_pansies_chives_water")
model.addConstr(14 * apple_trees + 8 * strawberry_bushes + 5 * chives >= 28, "apple_trees_strawberry_bushes_chives_water")
model.addConstr(14 * apple_trees + 14 * verbenas + 5 * chives >= 28, "apple_trees_verbenas_chives_water")
model.addConstr(10 * pansies + 8 * strawberry_bushes + 5 * chives >= 28, "pansies_strawberry_bushes_chives_water")
model.addConstr(14 * apple_trees + 13 * tomato_vines + 10 * pansies >= 28, "apple_trees_tomato_vines_pansies_water")

# Yield constraints
model.addConstr(12 * apple_trees + 10 * verbenas >= 23, "apple_trees_verbenas_yield")
model.addConstr(2 * pansies + 1 * chives >= 23, "pansies_chives_yield")
model.addConstr(10 * verbenas + 1 * chives >= 16, "verbenas_chives_yield")
model.addConstr(14 * tomato_vines + 10 * verbenas >= 19, "tomato_vines_verbenas_yield")
model.addConstr(14 * tomato_vines + 2 * pansies >= 21, "tomato_vines_pansies_yield")
model.addConstr(2 * strawberry_bushes + 10 * verbenas + 1 * chives >= 29, "strawberry_bushes_verbenas_chives_yield")
model.addConstr(12 * apple_trees + 14 * tomato_vines + 1 * chives >= 29, "apple_trees_tomato_vines_chives_yield")
model.addConstr(12 * apple_trees + 10 * verbenas + 1 * chives >= 29, "apple_trees_verbenas_chives_yield")
model.addConstr(14 * tomato_vines + 2 * pansies + 10 * verbenas >= 29, "tomato_vines_pansies_verbenas_yield")
model.addConstr(12 * apple_trees + 14 * tomato_vines + 2 * pansies >= 29, "apple_trees_tomato_vines_pansies_yield")
model.addConstr(12 * apple_trees + 14 * tomato_vines + 10 * verbenas >= 29, "apple_trees_tomato_vines_verbenas_yield")
model.addConstr(2 * pansies + 10 * verbenas + 1 * chives >= 29, "pansies_verbenas_chives_yield")
model.addConstr(2 * pansies + 2 * strawberry_bushes + 1 * chives >= 29, "pansies_strawberry_bushes_chives_yield")

# Water limit constraints
model.addConstr(13 * tomato_vines + 8 * strawberry_bushes <= 141, "tomato_vines_strawberry_bushes_water_limit")
model.addConstr(14 * apple_trees + 5 * chives <= 70, "apple_trees_chives_water_limit")
model.addConstr(10 * pansies + 2 * strawberry_bushes <= 37, "pansies_strawberry_bushes_water_limit")
model.addConstr(13 * tomato_vines + 10 * pansies <= 145, "tomato_vines_pansies_water_limit")
model.addConstr(13 * tomato_vines + 14 * verbenas <= 166, "tomato_vines_verbenas_water_limit")
model.addConstr(14 * apple_trees + 13 * tomato_vines <= 173, "apple_trees_tomato_vines_water_limit")
model.addConstr(14 * apple_trees + 10 * pansies <= 137, "apple_trees_pansies_water_limit")
model.addConstr(14 * apple_trees + 8 * strawberry_bushes <= 181, "apple_trees_strawberry_bushes_water_limit")
model.addConstr(14 * tomato_vines + 2 * pansies + 10 * verbenas <= 242, "tomato_vines_pansies_verbenas_yield_limit")
model.addConstr(12 * apple_trees + 14 * tomato_vines + 1 * chives <= 223, "apple_trees_tomato_vines_chives_yield_limit")
model.addConstr(2 * strawberry_bushes + 10 * verbenas + 1 * chives <= 156, "strawberry_bushes_verbenas_chives_yield_limit")
model.addConstr(12 * apple_trees + 14 * tomato_vines + 2 * strawberry_bushes <= 219, "apple_trees_tomato_vines_strawberry_bushes_yield_limit")
model.addConstr(14 * tomato_vines + 2 * strawberry_bushes + 10 * verbenas <= 169, "tomato_vines_strawberry_bushes_verbenas_yield_limit")

# Integer constraints
model.addConstr(apple_trees >= 0, "apple_trees_non_negative", gp.GRB.INTEGER)
model.addConstr(tomato_vines >= 0, "tomato_vines_non_negative", gp.GRB.INTEGER)
model.addConstr(pansies >= 0, "pansies_non_negative", gp.GRB.INTEGER)
model.addConstr(strawberry_bushes >= 0, "strawberry_bushes_non_negative", gp.GRB.INTEGER)
model.addConstr(verbenas >= 0, "verbenas_non_negative", gp.GRB.INTEGER)
model.addConstr(chives >= 0, "chives_non_negative", gp.GRB.INTEGER")

# Solve the model
model.optimize()

# Print the results
if model.status == gp.GRB.Status.OPTIMAL:
    print("Objective: ", model.objval)
    print("apple_trees: ", apple_trees.varValue)
    print("tomato_vines: ", tomato_vines.varValue)
    print("pansies: ", pansies.varValue)
    print("strawberry_bushes: ", strawberry_bushes.varValue)
    print("verbenas: ", verbenas.varValue)
    print("chives: ", chives.varValue)
else:
    print("The model is infeasible")
```