10. Pink Rose and Merrily compete in the cosmetics industry. The consumers' net perceived benefit as a function of product quality (q) and price (p) in this market is described by the equation below: 10q Customer's Net Benefit (CNB) = p a. Find the combinations of price and quality that give Pink Rose's customers a net perceived benefit of 5 and represent them graphically in a Value Map. (5 points) b. Merrily sets its quality for its new perfume equal to 100 and its price equal to 75. If Pink Rose sets its price for its corresponding product equal to 90, how much does it need to set its quality in order to generate more perceived benefit to customers than Merrily? (10 points) c. Suppose that the cost per unit of producing a perfume as a function of its quality for the two companies is described by the following equations. Also suppose that there are no fixed costs. CpinkRose (PinkRose) = 3(9pinkRose) CMerrily (9Merrily) = 6(Merrily) Write down Pink Rose's profit as a function of its own quality for perfumes (apinkRose) and of the strategic positioning of Merrily (Merrily, PMerrily) so that Pink Rose maintains cost advantage over Merrily. (15 points)