The annual profit P (in dollars) of nursing homes in a region is given by the function P(w, r, s, t) = 0.008022w-0.81,1.0730.814244 where w is the average hourly wage of nurses and aides (in dollars), r is the occupancy rate (as a percentage), s 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 $23 an hour, a reimbursement rate index of 7, an occupancy rate of 80%, and 410,000 f of space. a) Estimate the nursing home's annual profit. The nursing home's annual profit approximately $ (Do not round until the final answer. Then round to the nearest dollar as needed.) b) Find the four parlial derivatives of P. dw (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to six decimal places as needed.) dP (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to six decimal places as needed.) dP (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to six decimal places as needed.) dP (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to six decimal places as needed.)
The annual profit P (in dollars) of nursing homes in a region is given by the function P(w, r, s, t) = 0.008022w-0.81,1.0730.814244 where w is the average hourly wage of nurses and aides (in dollars), r is the occupancy rate (as a percentage), s 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 $23 an hour, a reimbursement rate index of 7, an occupancy rate of 80%, and 410,000 f of space. a) Estimate the nursing home's annual profit. The nursing home's annual profit approximately $ (Do not round until the final answer. Then round to the nearest dollar as needed.) b) Find the four parlial derivatives of P. dw (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to six decimal places as needed.) dP (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to six decimal places as needed.) dP (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to six decimal places as needed.) dP (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to six decimal places as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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