Mosby Design Case Ted Mosby decided to open an architectural agency which will operate in six major cities in the USA. The name of the company will be "Mosby Design". He targets a wide range of customers. For this reason, he opened five offices for five of his former co-workers and there are different number of employees in each office. You can see how many employees are working in each office below. Head of the Office of Employees Marshal Eriksen 16 Robin Scherbatsky Bamey Stinson 10 Lly Aldrin 30 Tracy McConnell 30 35 Moreover, there are six cities that have the most demand. Each office has a different price for each city. You can see the demand for employees in each city within a month below. City City Chey City City Demand is Finally, each architectural office charges different prices for each city. Below is the price table in terms of profit. For example, Marshall's office charges 80 S for each architectural work in city 1 or Lily's office charges 70 S for each architectural work in city 5. Mosby Design (profit/architectural work) City City 2 City City 4City Sy 70100 70 90 70 701 SO 301 sc 80 110970 90 Marshal Robin Bamey Lly Tracy 110 60 50 8060 40 60 30 40 20 90 805060 Each question is independent from each other unless otherwise stated. (Solve question c, d and e separately. Don't add constraints in a cumulative way. Each question has its own constraints.) a) What is the maximum profit Ted Mosby can make? Which office works more in which cities compared to the others? b) Considering your answer in part a, which office has more employee than it needs? c) If in city 1, there is an architectural work related with a hotel and Ted Mosby wants only Marshall's office to deal with that problem, how would profit change? d) If Robin Scherbatsky is not well-known in city 2 and it affects their jobs in a bad way, recalculate the maximum profit with giving zero work to Robin in city 2. e) Assume that the table for profit for architectural work now shows the "cost" for each architectural work. In order to minimize cost, How Ted Mosby would send his employees to architectural works? What would be the cost then