Problem 4 A lemonade vendor can sell 200 cups of lemonade per day when the price per cup is $2. Having done a study, the vendor knows that each 10-cent price decrease, increases the number of sales by 25 cups per day. Part a) Write an equation that represents the revenue as a function of the price per cup. (Make sure to define your variables and show your work.) Part b) What is the maximum revenue? How much should the vendor sell the lemonade for to reach the maximum revenue? (Make sure to show all work)

Problem 4 A lemonade vendor can sell 200 cups of lemonade per day when the price per cup is $2. Having done a study, the vendor knows that each 10-cent price decrease, increases the number of sales by 25 cups per day. Part a) Write an equation that represents the revenue as a function of the price per cup. (Make sure to define your variables and show your work.) Part b) What is the maximum revenue? How much should the vendor sell the lemonade for to reach the maximum revenue? (Make sure to show all work)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Problem 4
A lemonade vendor can sell 200 cups of lemonade per day when the price per cup is $2. Having
done a study, the vendor knows that each 10-cent price decrease, increases the number of
sales by 25 cups per day.
Part a)
Write an equation that represents the revenue as a function of the price per cup. (Make sure to
define your variables and show your work.)
Part b)
What is the maximum revenue? How much should the vendor sell the lemonade for to reach
the maximum revenue? (Make sure to show all work)

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