A Hilti salesperson, Sachin Patel, has been assigned eight key accounts and asked to focus on two accounts each week, one account being a loyal customer and the other a switchable customer who normally buys from a rival. The loyal account in week w is denoted Acct wL in the Excel spreadsheet {switchable account is Acct wS). For each account Sachin must do pre presentation preparation which is time consuming. In addition, each presentation involves transportation cost to and from the home office. The amount of prep lime and travel costs pg presentation is provided in the Excel spreadsheet Week ZnLecture 2-Hiltl' Axlsx. Each week Sachin has 3 days of lime available for preparing for presentations to the loyal and switchable customer that he is responsible for that week. There is also $'F00 available for travel. Given the variety of unit costs that are faced each week, Sachin wants to determine the number of presentations that should be given to loyals and switchable customers in each week given the total time and money that has been budgeted per week. (Tb simplify this case, just do week w=1.) Hint: sales presentations that are not integers merely refer to very brief or extraIon g sales contacts, so number of presentations do not have to be integers. Once Sachin has determined the number of sales presentations for each customer in a week, the probability of closing a sale that week is proportional to the number of sales presentations made. For the loyal customers the probability of closing a sale is 20% of the number of presentations; for example, if the salesperson made 2.5 presentations to a loyal one week, the probability of closing a sale is 0.20X2.5 = 0.50. Switchables are harder to convince and the probability of closing is 10% of the number of sales presentations. It is assumed that the dollar value of each closed sale is identical {for simplicity, assume that closing a sales generates $20,000 in revenue). The firm pays a commission rate of 10% of the dollar value of total sales generated. Question: What commissions will Sochln expect to earn in week 1 P