suppose that the nation demand and price for a certain type of energy-efficient exhaust fan are related by p=490-5/7(q), where p is the price in dollars and q is the demand in thousands. if the demand is for 161000 exhaust fans, than the price is?

Question

anonymous · Answer

the equation that the problem is simply an equation of a line... if we simply plug-in the given demand q=161000, you can solve the equivalent price p... :)

anonymous · Answer

can you do it?

anonymous · Answer

−114510

anonymous · Answer

this is what i get but it is not right

anonymous · Answer

we know that the price p can't be a negative value so we have to determine the boundaries of our equation based on what is needed...

anonymous · Answer

I've tried everything and can't seem to get it

anonymous · Answer

if price p=0, we can determine demand q as $$0=490-\frac{5}{7}q$$$$-490=\cancel{-490}+\cancel{490}-\frac{5}{7}q$$$$-490=-\frac{5}{7}q$$$$-\frac{7}{5}\times-490=\cancel{-\frac{5}{7}}q\times\cancel{-\frac{7}{5}}$$$$q=\frac{7\times490}{5}=686$$

anonymous · Answer

therefore we cannot have a demand q more than 686...

anonymous · Answer

oh I see

anonymous · Answer

since at this point our price p=0

anonymous · Answer

but if we don't have a demand q=0, our price p=490

anonymous · Answer

ok

anonymous · Answer

did i explain it clear? you get the point? :)

anonymous · Answer

yes I get it now thank you very much

anonymous · Answer

no problem, always glad to help if it is needed... :)

anonymous · Answer

:)