Final answer:
Given the marginal cost of $0.60 and a price elasticity of demand between 1.1 and 1.2, the firm should charge prices ranging from $5.22 to $6.59 to maximize profit, which is closest to the range of $5.60 to $6.60 as per the given options.
Step-by-step explanation:
To determine the range of prices to charge to maximize profit, we need to apply the concept of marginal revenue and price elasticity of demand. Since the marginal cost (MC) is $0.60, and we have a price elasticity of demand (PED) between 1.1 and 1.2, we can use the formula MR = MC / (1 + 1/PED) to find the markup factor. High price elasticity indicates the firm has some power to set prices above marginal cost without losing many sales.
To calculate the markup, use the midpoint of the elasticity range (1.15) and the given marginal cost of $0.60: MR = $0.60 / (1 - 1/1.15) = $0.60 / (1 - 0.870) = $0.60 / 0.130 = $4.62.
The firm should set a price that is $4.62 above marginal cost. Given that MC is $0.60, the optimal price range would be $0.60 + $4.62 = $5.22. Since we have a range of elasticity, the higher end of the price would be $0.60 / (1 - 1/1.10) = $0.60 / (1 - 0.909) = $0.60 / 0.091 = $6.59.
Therefore, the correct range of prices the firm should charge to maximize profit is between $5.22 and $6.59, which is closest to option C: $5.60 and $6.60.