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1·(20 pts) The weekly demand for a new smart home device is given by the function p(x)1100-0.09x dollars per device, where p is the price in dollars per device, and x is the number of devices demanded. The weekly total cost function associated with the manufacturing of x devices is given by the function C(x)= 0.000005x-0.04x2 +900x + 45,000 dollars a. Find the revenue function Rc) and the profit function P(x). b. Find p(5000), C(5000), R(5000), P(5000). Explain what each number means in sentences with units. c. Find the marginal profit function. d. Find the marginal profit for producing 5000 devices per week. Explain what your answer means in sentences with units. e. Find the average cost function C(x) f. Find C(5000). Explain what your answer means in sentences with units. g. Find the marginal average cost function. h. Find the marginal average cost for producing 5000 devices per week. Explain what your answer means with units.