How to find an equilibrium point between two lines?

5 次查看（过去 30 天）

Joao Pereira 2019-12-26

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/498051-how-to-find-an-equilibrium-point-between-two-lines

评论： Rena Berman 2020-5-14

Hi guys could you help me find the equilibrium point between my demand and supply curves cheers.

This is the code I wrote, I tried using the command "solve", but I did not succeed

x = 1:20:14;
xticks(1:1:30)
y1 = -3*x +90;
plot (x,y1,'b')
hold on 
x = 1:0.5:30;
y2 = 10+x;
plot (x,y2,'c')
hold on
x = 1:0.5:30;
y3 = -3*x +60;
plot (x,y3,'b')
plot (x,y1,y2,y3)
ylim([0 100])
hold on
legend ('0G demand curve','OG supply curve','tax(30)')
title ('Market Equilibrium')
xlabel('Quantitites')
ylabel('Price')
hold off 
P = InterX([x1;y1],[x;y2]);
plot(x,y1,x,y2,P(1,:),P(2,:));

1 个评论
显示 -1更早的评论隐藏 -1更早的评论

Rena Berman 2020-5-14

(Answers Dev) Restored edit

请先登录，再进行评论。

请先登录，再回答此问题。

回答（1 个）

Mark Sherstan 2019-12-26

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/498051-how-to-find-an-equilibrium-point-between-two-lines#answer_407761

You were close! The x domain must be the same length and some of your variables were mislabeled. I quickly cleaned up your code and this should work for you:

x = 1:0.5:30;
y1 = -3*x +90;
y2 = 10+x;
y3 = -3*x +60;
plot(x,y1,'b', x,y2,'c', x,y3,'b')
ylim([0 100])
title ('Market Equilibrium')
xlabel('Quantitites')
ylabel('Price')
P12 = InterX([x;y1],[x;y2])'
P23 = InterX([x;y2],[x;y3])'
hold on 
plot(P12(1,1),P12(1,2),'ro')
plot(P23(1,1),P23(1,2),'ko')
legend ('0G demand curve','OG supply curve','tax(30)','Intersection Y1-Y2', 'Intersection Y2-Y3')
hold off