Hi I need help with questions 8-10 please

8. [-/2 Points] DETAILS WANEFMAC7 15.4.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Solve the given optimization problem by using substitution. Find the minimum value of f(x, y, z) = 2x2 + 2x + y2 - y + 22 - z - 3 subject to z = 2y. min = Also find the corresponding point (x, y, z). ( x, y, z ) = Need Help? Read It 9. [-/3 Points] DETAILS WANEFMAC7 1.2.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The hourly operating cost of a certain plane, which seats up to 295 passengers, is estimated to be $3,820. If an airline charges each passenger a fare of $95 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x. P(x ) = Specify the domain. (Enter your answer using interval notation.) What is the least number of passengers it must carry to make a profit? (Round your answer up to the nearest passenger. ) [HINT: The cost function is constant (variable cost = 0).] passengers Need Help? Read It 10. [-/2 Points] DETAILS WANEFMAC7 15.4.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Lagrange multipliers to solve the given optimization problem. Find the maximum value of f(x, y) = xy subject to 3x + y = 42. fmax = Also find the corresponding point (x, y). (x, y ) = (