A casino hotel manager has approximated demand for$$ two$-$room suites to be

p equals $5000$ minus StartFraction q squared Over $18$ EndFractionp$=5000$q$218,$

where p is the price$($in dollars$)$ and q is the quantity demanded. Use implicit differentiation to find and interpret

StartFraction dq Over dp EndFractiondqdp

when

qequals$=33.$

Question content area bottom

Part $1$

Choose the correct answer below and fill in the answer box to complete your answer.

A$.$

StartFraction dq Over dp EndFractiondqdpequals$=$enter your response here$,$

which means that if the price is increased by$$ $$1,$ the quantity demanded decreases by approximately

StartAbsoluteValue StartFraction dq Over dp EndFraction EndAbsoluteValuedqdp

suites.

B$.$

StartFraction dq Over dp EndFractiondqdpequals$=$enter your response here$,$

which means that if the price is increased by$$ $$1,$ the quantity demanded increases by approximately

StartAbsoluteValue StartFraction dq Over dp EndFraction EndAbsoluteValuedqdp

suites.