Hi i need help on questions 1, 5-7 please

5. [0.67/1 Points] DETAILS PREVIOUS ANSWERS 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 $90 per hour of flight, find the hourly profit Pit earns operating the plane as a function of the number of passengers x. P(x) = 90x - 3820 Specify the domain. (Enter your answer using interval notation.) (0,295 ) 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).] 43 passengers Need Help? Read It 6. [0.87/1 Points] DETAILS PREVIOUS ANSWERS WANEFMAC7 1.2.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The cost of renting tuxes for the Choral Society's formal is $20 down, plus $84 per tux. Express the cost C as a function of x, the number of tuxedos rented. C(x) = 20 + 84x Use your function to answer the following questions. (a) What is the cost of renting two tuxes? $ 188 (b) What is the cost of the second tux? $ 84 (c) What is the cost of the 4,098th tux? $ 84 (d) What is the variable cost? $ 84x What is the fixed cost? $ 114 X What is the marginal cost? $ 84 (e) Graph C as a function of x. C 300 1001 250 200 1 1.5 2 2.5 -50 150 -100 100 -150 -200 50 -250 O 0.5 1.5 2 2.5 O-300 C C 300 100 50 250 0.5 1.5 2.5 200 -50 150 -100 -150 100 -200 50 -250 O-300 o 0.5 1 2 2.57. [I1 Points] DETAILS WANEFMAC? 1.2.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eat-a-thon." The society will charge students 94 per sewing of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 13 per serving, and the $380 cost of renting the facilitvr for the evening. (a) Write down the associated cost function C(x) in dollars. C(x) = Write down the revenue function R{x) in dollars. R{x) = Write down the prot function P{x] in dollars. FIX) = (b) How many servings of pasta must the Audubon Society sell to break even? [:] servings (c) What profit (or loss) results from the sale of 1,500 servings of pasta? $ :1 Need Help? 8. [l1 Points] DETAILS WANEFMAC7 1.2.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run ofx pairs of cleats is C(x) = 3,000 + 3x + 0.1;:2 {0 s x s 500). Gymnast Clothing sells the cleats at $100 per pair. Find the revenue and prot functions. 3 How many pairs of cleats should Gymnast Clothing manufacture to make a profit? at least :] pairs Revenue = 1. [-/1 Points] DETAILS WANEFMAC7 1.2.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This exercise is based on the following functions. f(x) = x2 + 1 with domain (-co, +co) g(x) = x - 1 with domain (-co, +co) h(x) = x + 5 with domain [26, +co) u(x) = vx + 26 with domain [-26, 0) v(x) = v 50 - x with domain (0, 50) For q = -; a = 1, do the following. (a) Write a formula for the indicated function. q( x) = (b) Give the function's domain. (Enter your answer using interval notation.) (c) Specify the function's value at the given point a = 1, if defined. (If an answer is undefined, enter UNDEFINED.) q(1) =