A demand function and a supply function for the same commodity is given.

D(p) = 357 lnpmillion units;

S(p) = 0 for p is less than 2. million units;

3(1.081^p) for p is greater than or equal to 2

p dollars per unit

(a) Locate the shutdown point. (Round your answers to three decimal places.)

(p_s, S(p_s)) = (blank)

Write a sentence of interpretation for this point. Producers are willing to supply (blank) million units at a market price of$(blank)per unit. Below$ (blank) per unit, producers will shutdown.

b) Locate the point of market equilibrium. (Round your answers to three decimal places.) (p*,q*) = (blank)

Please fill in the blanks and state answers clearly! Thank you!