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+//Initilization of variables
+mA=30 //kg
+mB=45 //kg
+u_ab=1/3 //coefficient of friction between two blocks
+u_bp=1/10 //coefficient of friction between block and horizontal plane
+g=9.8 //m/s^2
+//Calculations
+//By inspection
+Na=mA*g //N
+Nb=Na+mB*g //N
+a=(u_ab*Na-u_bp*Nb)/mB //m/s^2
+P=(mA*a+u_ab*Na) //N
+//For block A
+//Solving for P,F and a
+A=[1,-1,-mA;-0.05,-0.075,0;0,1,-mB]
+B=[0;-Na*0.050;Nb*u_bp]
+C=inv(A)*B
+P_new=C(1) //N
+//Result
+//As p < p_new
+clc
+printf('The maximum value of P is %f N',P)