3. Dataset \"Final_Q3_0rangeJuice\" contains a grocery store's weekly sales and price information for three major orange juice brandsTropicana (\"T"), Minute Maid ("M"), and Dole ("D\"). Estimate the following SCAN*PRO models for all the three brands. Tropicana: anT = (IT + 37,1 =1= 1n(P-,.~) + 18?.2 as 111(1)\") + 673 *1n(PD) Minute Maid: anM = 05M + 5,4,1 * ln(PT) + 354,2 * 111(PM) + 6543 * 1n(PD) DOIE': mQD = \"D + 5.0.1 * 11103?) + 50.2 * 139M) + 50.3 * 111(3)) a. Among the three brands, which brand has the largest brand equity, and what value is it? Explain the meaning of brand equity in word, using this brand as an example. b. If Dole reduces its price by 1%, how much will the sales of the three brands change in percentage, respectively? Suppose you are the brand manager of Tropicana: c. The marginal cost of Tropicana is 0.03. What price should you optimally charge for Tropicana? d. Suppose the marginal costs for Minute Maids and for Doles are also 0.03. What are their optimal prices, respectively? e. What will be Tropicana's optimal profit if all three brands charge their optimal price? f. Suppose the parent company of Tropicana, PepsiCo, introduces another orange juice brand called Wing, which competes with Tropicana, Minute Maid, and Dole. Do you think Tropicana, Dole, and Minute Maid should increase or decrease their prices, respectively? You do not need any calculation or data analysis for this question. [Hint: PepsiCo receives prots from both Tropicana and 5%.]