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Mathematics 7 Online
OpenStudy (anonymous):

the demand function for a certain comodity is given by f(p)=180 -0.3p^2, where p is the price in dollars and f(p) is the number of items sold. find the elasticity of demand when p=10 and tell whether it is elastic or inelastic. Could someone help me on this, i am not understanding..

OpenStudy (amistre64):

elasticity generally refers to something being able to move; since demand is moving, i would assume that it is elastic... but that is just a guess :)

OpenStudy (anonymous):

I think this is economics. She talking about price elasticity.

OpenStudy (amistre64):

taking macroeconomics right now :)

OpenStudy (anonymous):

no its actually calculus for business majors

OpenStudy (amistre64):

take the derivative and see if at p=10 is a zero slope if it is, that means it aint moving at that point

OpenStudy (amistre64):

if its another number, that number is your elasticiy of demand for that price.... how fast its moving :)

OpenStudy (amistre64):

180p -(.3/3)p^3 is the derivative....

OpenStudy (amistre64):

1800 - .1(1000) = ?

OpenStudy (amistre64):

1800 - 100 = 1700. I would say that the elasticity of demand is 1700 .... that should be in a rate format...

OpenStudy (amistre64):

ack!!... thats not a derivative.... i did integral on it.....

OpenStudy (amistre64):

-0.6p should be the derivative... sorry :)

OpenStudy (amistre64):

-6 is the elasticity of demand at p=10 ..... i think

OpenStudy (amistre64):

demand is falling at a rate of 6 units per something

OpenStudy (anonymous):

could you show me that in the formula please

OpenStudy (amistre64):

I can try... do you know about derivatives yet?

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

do you know how to find the derivative? cause after that, its just plug in p=10 to find the rate of change at that instant.

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

good; then explain to me what you need me to show you again? please

OpenStudy (anonymous):

no i got it now thank you...so it would be elastic

OpenStudy (amistre64):

it would be elastic; and the rate at which it is elastic is -6; demand is dropping at a rate of 6 units.... dont know the units :)

OpenStudy (anonymous):

awesome thank you

OpenStudy (amistre64):

no prob :)

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