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To reward loyal customers, a Baltimore wine shop called Angels Eat Lemons uses a declining price schedule. The first bottle of wine costs $100, and every bottle after that costs $10. Suppose Roy's demand for bottles of wine at Angels Eat Lemons is described by [tex]Q = 10 - 0.1P[/tex] (and Roy's inverse demand curve is described by [tex]P = 100 - 10Q[/tex]), where [tex]P[/tex] is the price and [tex]Q[/tex] is the quantity of wine bottles. How many bottles of wine will Roy purchase?

Answer :

To determine how many bottles of wine Roy will purchase, we need to find the point where Roy's demand curve intersects with the price schedule of Angels Eat Lemons. The price schedule states that the first bottle of wine costs $100 and every subsequent bottle costs $10.

Roy's demand for bottles of wine is given by the equation Q = 10 - 0.1P, where Q represents the quantity of wine bottles and P represents the price. To find the quantity Roy will purchase, we substitute P with the price from the price schedule. For the first bottle, P = $100, so Q = 10 - 0.1(100) = 10 - 10 = 0. For every subsequent bottle, P = $10, so Q = 10 - 0.1(10) = 10 - 1 = 9. Therefore, Roy will purchase a total of 10 bottles of wine from Angels Eat Lemons, with the first bottle priced at $100 and the subsequent bottles priced at $10 each.

Learn more about price schedule here: brainly.com/question/30141306

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