help me please please

Question

 

 

Answer 1

The given equation 

2x+ 11p = 66

2x = -11P + 66

x = (-11/2) P +33

Slope m = -11/2

So slope is downward.

Therefore, the equation is demand equation.

Answer 2

Constrained by x>= 0 and p>=0. In that case, p is at a maximum when x = 0: 

2x + 11p = 66
11p = 66
p = 6 

Maximum price ,p = 6

Minimum price ,p = 0
x is at its maximum when p is 0 
2x = 66
x = 33
Maximum demand x = 33