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Question: Multiple curves in a dual-axis plot

Question:Multiple curves in a dual-axis plot

Andiguys 85 Maple 2019
dualaxisplot plotting
1 hour ago
0

I would like to combine all the plots into a single figure. The curves S1, S2, and S3 represent the manufacturer’s profit as Ce​ varies, and S12, S22, and S33 represent the retailer’s profit for the same changes in Ce​. I want all of these displayed together in one plot using a dual y-axis: one axis for the manufacturer’s profit and the other for the retailer’s profit, with Ce on the x-axis. How to create such a dual-axis plot with appropriate scaling so that the differences between the curves are also clearly visible.

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restart
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with(Optimization); with(plots); with(Student[VectorCalculus]); with(LinearAlgebra)
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``
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_local(Pi)

Pi

 (1)
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`Π_12` := (0.1455251030e-2*Ce+.5352049476)*(0.369876310e-1-0.3638127575e-2*Ce)+(.8*(-.1671790360+1.121361872*Ce))*(0.1849381518e-1-0.1819063782e-2*Ce)-Ce*(0.1849381518e-1-0.1819063782e-2*Ce)

(0.1455251030e-2*Ce+.5352049476)*(0.369876310e-1-0.3638127575e-2*Ce)+(-.1337432288+.8970894976*Ce)*(0.1849381518e-1-0.1819063782e-2*Ce)-Ce*(0.1849381518e-1-0.1819063782e-2*Ce)

 (2)
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`Π_22` := (0.1455251030e-2*Ce+.5356096675)*(0.355258312e-1-0.3638127575e-2*Ce)+(.8*(-.1184158360+1.121361872*Ce))*(0.1776291535e-1-0.1819063782e-2*Ce)-Ce*(0.1776291535e-1-0.1819063782e-2*Ce)

(0.1455251030e-2*Ce+.5356096675)*(0.355258312e-1-0.3638127575e-2*Ce)+(-0.9473266880e-1+.8970894976*Ce)*(0.1776291535e-1-0.1819063782e-2*Ce)-Ce*(0.1776291535e-1-0.1819063782e-2*Ce)

 (3)
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`Π_32` := (0.1455251030e-2*Ce+.5356038465)*(0.355403838e-1-0.3638127575e-2*Ce)+(.8*(-.1179012835+1.121361872*Ce))*(0.1777019161e-1-0.1819063782e-2*Ce)-Ce*(0.1777019161e-1-0.1819063782e-2*Ce)

(0.1455251030e-2*Ce+.5356038465)*(0.355403838e-1-0.3638127575e-2*Ce)+(-0.9432102680e-1+.8970894976*Ce)*(0.1777019161e-1-0.1819063782e-2*Ce)-Ce*(0.1777019161e-1-0.1819063782e-2*Ce)

 (4)
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S12 := plot(`Π_12`, Ce = 0 .. 0.9e-1, color = [red], labels = ["Ce", "Manufacturer Profit"], labeldirections = ["horizontal", "vertical"], legend = [`#msubsup(mi("Pi"),mi("m"),mn("W"));`]); S22 := plot(`Π_22`, Ce = 0 .. 0.9e-1, color = [green], labels = ["Ce", "Manufacturer profit"], labeldirections = ["horizontal", "vertical"], legend = [`#msubsup(mi("Pi"),mi("m"),mn("D"));`]); S32 := plot(`Π_32`, Ce = 0 .. 0.9e-1, color = [blue], labels = ["Ce", "Manufacturer profit"], labeldirections = ["horizontal", "vertical"], legend = [`#msubsup(mi("Pi"),mi("m"),mn("S"));`])

 

 

 
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`Π_1` := (-0.60726413e-1*Ce+.6173851967)*(0.1849381518e-1-0.1819063782e-2*Ce)-0.2500000000e-1*(0.1849381518e-1-0.1819063782e-2*Ce)^2

(-0.60726413e-1*Ce+.6173851967)*(0.1849381518e-1-0.1819063782e-2*Ce)-0.2500000000e-1*(0.1849381518e-1-0.1819063782e-2*Ce)^2

 (5)
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`Π_2` := (-0.60726413e-1*Ce+.5929853242)*(0.1776291535e-1-0.1819063782e-2*Ce)-0.2500000000e-1*(0.1776291535e-1-0.1819063782e-2*Ce)^2

(-0.60726413e-1*Ce+.5929853242)*(0.1776291535e-1-0.1819063782e-2*Ce)-0.2500000000e-1*(0.1776291535e-1-0.1819063782e-2*Ce)^2

 (6)
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`Π_3` := (-0.60726413e-1*Ce+.5932282299)*(0.1777019161e-1-0.1819063782e-2*Ce)-0.2500000000e-1*(0.1777019161e-1-0.1819063782e-2*Ce)^2

(-0.60726413e-1*Ce+.5932282299)*(0.1777019161e-1-0.1819063782e-2*Ce)-0.2500000000e-1*(0.1777019161e-1-0.1819063782e-2*Ce)^2

 (7)
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S1 := plot(`Π_1`, Ce = 0 .. 0.9e-1, color = [yellow], labels = ["Ce", "Retailer profit"], labeldirections = ["horizontal", "vertical"], legend = [`#msubsup(mi("Pi"),mi("r"),mn("W"));`]); S2 := plot(`Π_2`, Ce = 0 .. 0.9e-1, color = [black], labels = ["Ce", "Retailer profit"], labeldirections = ["horizontal", "vertical"], legend = [`#msubsup(mi("Pi"),mi("r"),mn("D"));`]); S3 := plot(`Π_3`, Ce = 0 .. 0.9e-1, color = [grey], labels = ["Ce", "Retailer profit"], labeldirections = ["horizontal", "vertical"], legend = [`#msubsup(mi("Pi"),mi("r"),mn("S"));`])

 

 

 
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dualaxisplot(plot(`Π_22`, Ce = 0 .. 0.9e-1, color = ["red"], labels = ["Ce", "Manufacturer profit"], labeldirections = ["horizontal", "vertical"], legend = [`#msubsup(mi("Pi"),mi("m"),mn("D"));`]), plot(`Π_2`, Ce = 0 .. 0.9e-1, color = ["green"], labels = ["Ce", "Retailer profit"], labeldirections = ["horizontal", "vertical"], legend = [`#msubsup(mi("Pi"),mi("r"),mn("D"));`]), title = "fairnes cost Comparison")

 
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display({S1, S12, S2, S22, S3, S32})

 
 

``

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