Homework: HW 17.38 of 9 ### Calculating Maximum Revenue from Spa and Solar Heater Sales#### Problem StatementThe total revenue (in hundreds of dollars) from the sale of \( x \) spas and \( y \) solar heaters is approximated by the function:\[ R(x, y) = 18 + 88x + 159y - 2x^2 - 5y^2 - 3xy \]Find the number of each that should be sold to produce maximum revenue. Additionally, find the maximum revenue.#### Task: Find the DerivativesTo find the number of spas (\( x \)) and solar heaters (\( y \)) that should be sold to maximize revenue, we first need to find the second-order partial derivatives.1. **Second-order partial derivative with respect to \( x \)**: \[ R_{xx} = \Box \]2. **Second-order partial derivative with respect to \( y \)**: \[ R_{yy} = \Box \]3. **Mixed second-order partial derivative with respect to \( x \) and \( y \)**: \[ R_{xy} = \Box \]Fill in the values for \( R_{xx} \), \( R_{yy} \), and \( R_{xy} \):\[ R_{xx} = \boxed{\phantom{x}}, \quad R_{yy} = \boxed{\phantom{x}}, \quad R_{xy} = \boxed{\phantom{x}} \]Here, we need to calculate and input the exact values for the second-order derivatives to proceed with determining the critical points and ultimately the maximum revenue.

Name: Homework: HW 17.38 of 9 ### Calculating Maximum Revenue from Spa and S
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: Homework: HW 17.38 of 9 ### Calculating Maximum Revenue from Spa and Solar Heater Sales#### Problem StatementThe total revenue (in hundreds of dollars) from the sale of \( x \) spas and \( y \) solar heaters is approximated by the function:\[ R(x, y)