How to graphically solve a problem?

Is it possible to get the graphical solution of the x1 and x2 result of this problem using the Pyplot package?

using JuMP, Cbc
using PyPlot


Test1 = Model(solver = CbcSolver())

@variable(Test1, x1 >= 0)
@variable(Test1, x2 >= 0)


@objective(Test1, Max, 4x1 + 3x2)

@constraint(Test1, 5x1 + 3x2 <= 22)
@constraint(Test1, 2x1 + 2x2 <= 11)

println("The optimization problem to be solved is:")
print(Test1)

status = solve(Test1)
println("Objective value: ", getObjectiveValue(Test1))
println("x1 = ", getValue(x1))
println("x2 = ", getValue(x2))

You do it using Polyhedra. First create a polyhedron from the feasible set and then plot it using Plots.