(Problem 1) A retail chain (Footlocker) is deciding whether to promote its new line of cross training shoes. If no promotion is done, they expect a profit of $25500 with a probability of 0.7 and $32000 with a probability of 0.3. If Footlocker decides to promote the shoes, they must first hire a marketing agency at a cost of $1500. If the marketing agency is hired, they must then choose one of the following options Advertising campaign-, this will cost a total of $4000. Social Media campaign- this will cost a total of $2800. If the advertising campaign is undertaken there is a 45% chance that profits will be $28000 and a 55% chance that profits will be $43000. If they choose the social media campaign there is a 32% chance that profits will be $27000 and a 68% chance that profits will be $39000. a. Draw the decision tree for this problem. b. Calculate the expected values and determine the best decision for the company.