3.4. A company that makes smoothies is planning to market its product. After a market survey they estimate that a price of $7.50 results in a daily demand of 150 smoothies and a price of $8.75 results in a daily demand of 100 smoothies. a) Use the information above to find the price-demand equation for this product. b) Find the Revenue function R(x) c) Use the price-demand equation to find the domain of the R(x) d) Find the marginal revenue function R'(x), and the marginal revenue at production levels of 150 and 300 smoothies. Interpret your results being specific about all the quantities involved in the answer, include appropriate units.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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3.4. A company that makes smoothies is planning to market its product. After a market survey they estimate
that a price of $7.50 results in a daily demand of 150 smoothies and a price of $8.75 results in a daily demand of
100 smoothies.
a) Use the information above to find the price-demand equation for this product.
b) Find the Revenue function R(x)
c) Use the price-demand equation to find the domain of the R(x)
d) Find the marginal revenue function R'(x), and the marginal revenue at production levels of 150 and 300
smoothies. Interpret your results being specific about all the quantities involved in the answer, include
appropriate units.
Transcribed Image Text:Page of 2 3.4. A company that makes smoothies is planning to market its product. After a market survey they estimate that a price of $7.50 results in a daily demand of 150 smoothies and a price of $8.75 results in a daily demand of 100 smoothies. a) Use the information above to find the price-demand equation for this product. b) Find the Revenue function R(x) c) Use the price-demand equation to find the domain of the R(x) d) Find the marginal revenue function R'(x), and the marginal revenue at production levels of 150 and 300 smoothies. Interpret your results being specific about all the quantities involved in the answer, include appropriate units.
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