Compare Elixir’s profit maximizing price with the marginal cost of producing the profit-maximizing output. At the profit-maximizing price, is the demand for Elixir water inelastic or elastic?

Elixir Spring produces a unique and highly prized mineral water. The firm’s total fixed cost is $5,000 a day, and its marginal cost is zero. The table shows the demand schedule for Elixir water.

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Price (dollars per bottle) 10 8 6 4 2 0 Quantity (bottles per day) 0 2,000 4,000 6,000 8,000 10,000