The demand function for specialty steel products is given, where p is in dollars and q is the number of units. p = 180125 – 9 (a) Find the elasticity of demand as a function of the quantity demanded, q. 375 — Зд (b) Find the point at which the demand is of unitary elasticity. q = 93.75 Find intervals in which the demand is inelastic and in which it is elastic. (Enter your answers using interval notation.) inelastic elastic q > 187.5 (c) Use information about elasticity in part (b) to decide where the revenue is increasing, and where it is decreasing. (Enter your answers using interval notation.) increasing 2q > 375 decreasing q > 187.5 Use information about elasticity in part (b) to decide where the revenue is maximized. q = 93.75

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
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The demand function for specialty steel products is given, where p is in dollars and q is the number of units.

p = 180
3   125 − q
The demand function for specialty steel products is given, where p is in dollars and q is the number of units.
p =
180125 – 9
(a) Find the elasticity of demand as a function of the quantity demanded, q.
375 — Зд
(b) Find the point at which the demand is of unitary elasticity.
q = 93.75
Find intervals in which the demand is inelastic and in which it is elastic. (Enter your answers using interval notation.)
inelastic
elastic
q > 187.5
(c) Use information about elasticity in part (b) to decide where the revenue is increasing, and where it is decreasing. (Enter your answers using interval notation.)
increasing
2q > 375
decreasing
q > 187.5
Use information about elasticity in part (b) to decide where the revenue is maximized.
q = 93.75
Transcribed Image Text:The demand function for specialty steel products is given, where p is in dollars and q is the number of units. p = 180125 – 9 (a) Find the elasticity of demand as a function of the quantity demanded, q. 375 — Зд (b) Find the point at which the demand is of unitary elasticity. q = 93.75 Find intervals in which the demand is inelastic and in which it is elastic. (Enter your answers using interval notation.) inelastic elastic q > 187.5 (c) Use information about elasticity in part (b) to decide where the revenue is increasing, and where it is decreasing. (Enter your answers using interval notation.) increasing 2q > 375 decreasing q > 187.5 Use information about elasticity in part (b) to decide where the revenue is maximized. q = 93.75
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