Consider the supply equation
Q = 4 + 0.1P²
(a) Write down an expression for dQ/dP.
(b) Show that the supply equation can be rearranged as
P = √(10Q - 40)
Differentiate this to find an expression for dP/dQ.
(c) Use your answers to parts (a) and (b) to verify that
dQ/dP = dP/dQ
(d) Calculate the elasticity of supply at the point Q = 14.