Question 1135452


Suppose the supply and demand for a certain textbook are given by ​

supply: {{{p= (1/5)q^2}}}

 ​demand:{{{p= -(1/5)x^2+40 }}}-> I guess, should be {{{q}}} instead: {{{p= -(1/5)q^2+40}}}

 where {{{p }}}is the price and {{{q}}} is the quantity. 

Find the demand quantity and the supply quantity at a price of ​${{{p=5}}}.


supply quantity:

{{{5= (1/5)q^2}}}

{{{5*5= q^2}}}

{{{ q^2=25}}}

{{{ q=5}}}


 ​demand quantity:

 {{{5= -(1/5)q^2+40}}}

 {{{5-40= -(1/5)q^2}}}

 {{{-35= -(1/5)q^2}}}

 {{{-35/ (-1/5)=q^2}}}

 {{{35*5=q^2}}}

 {{{175=q^2}}}

 {{{q=sqrt(175)}}}

{{{q=5sqrt(7)}}}