2. [8 pts] A cosmetic company is planning the introduction and promotion ofa new lipstick line. The marketing research department, after test marketing the new line in a carefully selected large city, found that the demand in that city is given approximately by p=10'x 03x52, where x thousand lipsticks were sold per week at a price of 35;; each. 3. Find the rate of change of price with respect to demand when weekly demand is 800 lipsticks and interpret the result. b. At what price will the weekly revenue R(x) = x - p be maximum? What is the maximum weekly revenue in the test city