The demand for Costaatt's College newspaper is 3,000 copies each week if the paper is given away free of charge, and drops to 2,000 each week if the charge is 10¢/copy. (a) Determine the associated linear demand function in the form q = ap+b where g_is the number of newspapers demanded a week if the price is SP per newspaper. (b) Costaatt is prepared to supply 200 copies per week free of charge, but will supply 1,000 each week at 20¢ per copy. Determine the associated linear supply function in the form q= cp+dWhere g is the number of newspapers supplied per week if the price is Sp per newspaper. (c) How many newspapers should the college newspapers be sold so that there is neither a surplus nor a shortage of papers?
The demand for Costaatt's College newspaper is 3,000 copies each week if the paper is given away free of charge, and drops to 2,000 each week if the charge is 10¢/copy. (a) Determine the associated linear demand function in the form q = ap+b where g_is the number of newspapers demanded a week if the price is SP per newspaper. (b) Costaatt is prepared to supply 200 copies per week free of charge, but will supply 1,000 each week at 20¢ per copy. Determine the associated linear supply function in the form q= cp+dWhere g is the number of newspapers supplied per week if the price is Sp per newspaper. (c) How many newspapers should the college newspapers be sold so that there is neither a surplus nor a shortage of papers?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 57E
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Transcribed Image Text:The demand for Costaatt's College newspaper is 3,000 copies each week if
the paper is given away free of charge, and drops to 2,000 each week if the
charge is 10¢/copy.
(5)
(a)
Determine the associated linear demand function in the form
q = ap +b where g_is the number of newspapers demanded a
week if the price is Sp per newspaper.
(b)
Costaatt is prepared to supply 200 copies per week free of charge, but
will supply 1,000 each week at 20¢ per copy. Determine the
associated linear supply function in the form q= cp+d Where q
is the number of newspapers supplied per week if the price is Sp per
newspaper.
(c)
How many newspapers should the college newspapers be sold so that
there is neither a surplus nor a shortage of papers?
(d)
Sketch the supply function and the demand function on the same pair
of labeled axes. Indicate the equilibrium point.
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