Consider yourself as an entrepreneur at the Mall selling 6000 donuts a day at 50c each. When you raised the price to 70C each, the sale dropped to 5000 donuts per day. Now, assume that there is a linear relationship between the price and number of donuts sold. Further assume that there is a fix cost (overhead) of $1000 per day and the cost of each donut is 25c. What would be the price of the donut to maximize the profit?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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As an entrepreneur at the mall, you sell 6000 donuts a day at 50¢ each. When the price is increased to 70¢ each, sales drop to 5000 donuts per day. Assuming a linear relationship between price and number of donuts sold, and given a fixed overhead of $1000 per day and cost of 25¢ per donut, determine the optimal price per donut to maximize profit.
Transcribed Image Text:As an entrepreneur at the mall, you sell 6000 donuts a day at 50¢ each. When the price is increased to 70¢ each, sales drop to 5000 donuts per day. Assuming a linear relationship between price and number of donuts sold, and given a fixed overhead of $1000 per day and cost of 25¢ per donut, determine the optimal price per donut to maximize profit.
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