$7\mathrm{.}6$ During the last five years, average daily occupancy at the Autumn Acres nursing home has slid from $125$ to $95$ even though Autumn Acres has cut its daily rate from $$125$ to $$115.$ Do these data suggest that occupancy would have been higher if Autumn Acres had raised its rates? What changes in nonprice demand factors might explain this change? $($The supply, or the number of nursing home beds in the area, has not changed during this period.$)$

$7\mathrm{.}7$ Your hospital is considering opening a satellite urgent care center about five miles from your main campus. You have been charged with gathering demographic information that might affect the demand for the center's services. What data are likely to be relevant?

$7\mathrm{.}8$ How would each of the following changes affect the demand curve for acupuncture?

a$.$ The price of an acupuncture session increases.

b$.$ A reduction in back problems occurs as a result of sessions about stretching on a popular television show.

c$.$ Medicare reduces the copayment for acupuncture from $$20$ to $$10.$

d$.$ The surgeon general issues a warning that back surgery is ineffective.

e$.$ Medicare stops covering back survery.