A financial advisor at Diehl Investments identified two companies that are likely candidates for a takeover in the near future. Eastern Cable is a leading manufacturer of flexible cable systems used in the construction industry, and ComSwitch is a new firm specializing in digital switching systems. Eastern Cable is currently trading for $41 per share, and ComSwitch is currently trading for $33 per share. If the takeovers occur, the financial advisor estimates that the price of Eastern Cable will go to $52 per share and ComSwitch will go to $48 per share. At this point in time, the financial advisor has identified ComSwitch as the higher risk alternative. Assume that a client indicated a willingness to invest at most $34,000 in the two companies. The client wants to invest at least 30% of total shares in ComSwitch and at least $9,000 in Eastern Cable. Because of the higher risk associated with ComSwitch, the financial advisor has recommended that at most $22,000 should be invested in ComSwitch.

Formulate an LP model that can determine the number of shares of Eastern Cable and the number of shares of ComSwitch in order to maximize the total return for the investment.

Step 1: Describe the objective (Verbally).

Step 2: Describe each constraint (Verbally).

Step 3: Define the decision variables.

Step 4: Write the objective in terms of the decision variables.

Step 5: Write the constraints in terms of the decision variables. For the constraint with a percentage, please reorganize it in a way that RHS a data value only.

2. Please make an LP model based on your step 4 and step5. (The format is as the one in Chapter 2 Example 1)

Please refer to your spreadsheet to state the optimal solution (round down to a whole number) and the maximized profits. Must state how many dollars should be invested in each of the two stocks (Words Minimum: 30).