4. (Section 1.1) Suppose the demand for laptop computers is given by the equation 6D + 5p = 9000 where D is the number of laptops sold at unit price p dollars per laptop. Suppose also that the total cost of manufacturing D laptops is given by C(D) = 159D + 98015. Use this information to answer the following: a. Express the demand as a function of unit price. Then use this to compute the implied domain as an inequality. b. Give the revenue as a function of only unit price. c. Give the profit as a function of only unit price. Hint: Be mindful of your independent variables here! d. Find the unit prices (rounded and labeled appropriately) that correspond to breaking even. e. What are the associated levels of sales (demand) that correspond to breaking even? Round and label appropriately. 5. (Section 1.2) Consider the demand and cost functions in the previous problem. a. What is the average cost of manufacturing 900 laptops? Round and label appropriately. b. What optimal unit price maximizes revenue? c. What optimal unit price maximizes profit? d. The two unit prices you found above should be different. Why do you think that is? 4. (Section 1.1) Suppose the demand for laptop computers is given by the equation 6D + 5p = 9000 where D is the number of laptops sold at unit price p dollars per laptop. Suppose also that the total cost of manufacturing D laptops is given by C(D) = 159D + 98015. Use this information to answer the following: a. Express the demand as a function of unit price. Then use this to compute the implied domain as an inequality. b. Give the revenue as a function of only unit price. c. Give the profit as a function of only unit price. Hint: Be mindful of your independent variables here! d. Find the unit prices (rounded and labeled appropriately) that correspond to breaking even. e. What are the associated levels of sales (demand) that correspond to breaking even? Round and label appropriately. 5. (Section 1.2) Consider the demand and cost functions in the previous problem. a. What is the average cost of manufacturing 900 laptops? Round and label appropriately. b. What optimal unit price maximizes revenue? c. What optimal unit price maximizes profit? d. The two unit prices you found above should be different. Why do you think that is