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+clc
+clear
+//Input data
+Pm=7;//The mean effective pressure of a diesel cycle in bar
+r=12;//The compression ratio
+P1=1;//Initial pressure in bar
+g=1.4;//Isentropic index
+
+//Calculations
+function[f] = F(x);//function definition
+    f = 45.4*x- 12*x^1.4 -64.2;
+endfunction
+x = 1;//Initial guss
+function[z] = D(x)//Derivative
+    z= 3*x^2 - 3;
+endfunction
+y = fsolve(x,F, D);
+C=y;//The cut off ratio 
+na=[1-(1/(r^(g-1)))*[((C^g)-1)/(g*(C-1))]]*100;//Air standard efficiency
+
+//Output 
+printf('The cut off ratio = %3.1f \n  The air standard efficiency = %3.2f percent ',C,na)
+