2) (20) Demand for widgets is a linear function of price. If the price of Widgets is set to $20, 4200 widgets will be sold. If the price is raised to $25, demand falls to 3600 widgets. a) (4) Find the demand function D(x), where x represents the price and D(x)= y represents the demand for widgets. b) (2) Describe the meaning of the slope of the demand function, in the context of the price, and demand for widgets. c)(2) Find the revenue function R(x), which is price times the demand.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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2) (20) Demand for widgets is a linear function of price. If the price of Widgets is set to
$20, 4200 widgets will be sold. If the price is raised to $25, demand falls to 3600 widgets.
a) (4) Find the demand function D(x), where x represents the price and D(x)= y represents the
demand for widgets.
b) (2) Describe the meaning of the slope of the demand function, in the context of the price, and
demand for widgets.
c) (2) Find the revenue function R(x), which is price times the demand.
(2) Graph the Revenue Function using Desmos, or any other graphing utility of your choice;
note the scale on the axes. If your graph doesn't fit on the graph, your Revenue function is
probably incorrect. Hint Ask Questions! Email!
100000
90000
80000
70000
60000
50000
40000
30000
20000
10000
y
-5
20 25 30 35 40 45 50 55 60 65
e) (2) Give the meaningful domain for the revenue function. Use the criteria that one would not
price widgets so low that one would pay to get rid of them.
5
10 15
(2)Calculate the price algebraically that results in the maximum revenue.
Transcribed Image Text:2) (20) Demand for widgets is a linear function of price. If the price of Widgets is set to $20, 4200 widgets will be sold. If the price is raised to $25, demand falls to 3600 widgets. a) (4) Find the demand function D(x), where x represents the price and D(x)= y represents the demand for widgets. b) (2) Describe the meaning of the slope of the demand function, in the context of the price, and demand for widgets. c) (2) Find the revenue function R(x), which is price times the demand. (2) Graph the Revenue Function using Desmos, or any other graphing utility of your choice; note the scale on the axes. If your graph doesn't fit on the graph, your Revenue function is probably incorrect. Hint Ask Questions! Email! 100000 90000 80000 70000 60000 50000 40000 30000 20000 10000 y -5 20 25 30 35 40 45 50 55 60 65 e) (2) Give the meaningful domain for the revenue function. Use the criteria that one would not price widgets so low that one would pay to get rid of them. 5 10 15 (2)Calculate the price algebraically that results in the maximum revenue.
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