Final answer:
The equilibrium quantity for cases of Pepsi is approximately 388 cases.
Step-by-step explanation:
The equilibrium quantity for cases of Pepsi can be found by setting the supply function equal to the demand function and solving for q:
S(q) = D(q)
2q = 1000 - 0.57q
Combine like terms:
2q + 0.57q = 1000
2.57q = 1000
Divide both sides by 2.57:
q = 1000/2.57 ≈ 388.15
Therefore, the equilibrium quantity for cases of Pepsi is approximately 388 cases.