The marginal cost of producing a particular item is $2.50. Suppose a consumer is willing to purchase
Question:
The marginal cost of producing a particular item is $2.50. Suppose a consumer is willing to purchase one item at $10, the second unit of that item is $9, the third unit of that item at $8, and so on. This means that the consumer's demand schedule looks like
Price ($) | Quantity |
---|---|
10 | 1 |
9 | 2 |
8 | 3 |
7 | 4 |
6 | 5 |
5 | 6 |
4 | 7 |
3 | 8 |
2 | 9 |
1 | 10 |
1. If the firm must set a single price and sell all of its units, what price will it select to maximize profits? What will the profit be?
2. Suppose the firm can apply a "volume discount", pricing the first good at $10, pricing the second unit at $9, and pricing the third unit at $8, and so on. What is the smallest per-unit price the firm will want to offer? Assuming the volume discount ends at (or before) that price, what will the firm's profit be?
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba