In order to prepare for the holiday rush, Timber Tree Farm hires an analyst from Tham International, to help them maximize their revenue. The analyst found that the farm sells 1545 trees on average, at a cost of $150.00 per tree. They also discovered that for every $50.00 price reduction, the farm’s tree sales double. (Round to the nearest tree for “b”)  (a) Help them create an equation to model this data.  (b) Solve for the amount of trees the farm must sell, in order to maximize their revenue. (c) At which price should the trees be sold at, in order to reach maximum revenue?

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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In order to prepare for the holiday rush, Timber Tree Farm hires an analyst from Tham International, to help them maximize their revenue. The analyst found that the farm sells 1545 trees on average, at a cost of $150.00 per tree. They also discovered that for every $50.00 price reduction, the farm’s tree sales double. (Round to the nearest tree for “b”) 

(a) Help them create an equation to model this data.

 (b) Solve for the amount of trees the farm must sell, in order to maximize their revenue.

(c) At which price should the trees be sold at, in order to reach maximum revenue?

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