Find a and bA) profit B) Find these 4 Dp/dwDp/drDp/dsDp/dt

i i I a ) \"mm The annual prot P (in dollars) of nursing homes in a region is given by the function P(w, r, s, t)= 0.007903w' "'6'53r1'4459'305t2'429 where w is the average hourly wage of nurses and aides (in dollars), r is the occupancy rate (as a percentage), 5 is the total square footage of the facility, and t is a number between 1 and 11 that measures the reimbursement rate in the region. A certain nursing home has nurses and aides with an average hourly wage of $19 an hour, a reimbursement rate index of B. an occupancy rate of 50%. and 450,000 it2 of space. m a) Estimate the nursing home's annual prot. The nursing home's annual prot approximately $I. (Do not round until the nal answer. Then round to the nearest dollar as needed.) b) Find the four partial derivatives of P. 0P 3r? ' (Simplify your answer Use integers or decimals for any numbers in the expression. Round to six decimal ptaces as needed.) 3:11