Electrotech Corporation manufactures two industrial-sized

Electrotech Corporation manufactures two industrial-sized

The Electrotech Corporation manufactures two industrial-sized electrical devices: generators and alternators. Both of these products require wiring and testing during the     assembly process.

Electrotech Corporation manufactures two industrial-sized electrical devices

1.         The Electrotech Corporation Problem
The Electrotech Corporation manufactures two industrial-sized electrical devices: generators and alternators. Both of these products require wiring and testing during the  assembly process. Each generator requires 2 hours of wiring and 1 hour of testing and can be sold for a $250 profit. Each alternator requires 3 hours of wiring time and 2 hours of  testing and can be sold for a $150 profit. There are 260 hours of wiring time and 140    hours of testing time available in the next production period. Also, management has  decided that they need to make at least 20 generators but no more than 50 alternators.  Electrotech wants to maximize profit. Also, Formulate as a linear programming problem.

The Innis Investments Problem 2

2.         The Innis Investments Problem 2
Innis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client’s needs. For a new client, Innis has been   authorized to invest up to $1.2 million in two investment funds: a stock fund and a money market fund. Further, Each unit of the stock fund costs $50 and provides an annual rate of return of 10%; each unit of the money market fund costs $100 and provides an annual rate of  return of 4%. The client wants to minimize risk subject to the requirement that the  annual income from investment be at least $60,000.

According to Innis’s risk  measurement system, each unit invested in the stock fund has a risk index of 8, and each unit invested in the money market fund has a risk index of 3; the higher risk index   associated with the stock fund simply indicates that it is the riskier investment. Inning’s client also specified that at least $300,000 be invested in the money market fund.  Finally, Formulate as a linear programming problem.

The Friends Savings Bank Problem

3.         The Friends Savings Bank Problem
The Friends Savings Bank has $1 million in new funds that must be allocated to home loans, personal loans, and automobile loans. The annual rates of return for the three types  of loans are 7% for home loans, 12% for personal loans, and 9% for automobile loans.  The bank’s planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the  amount allocated to personal loans cannot exceed 60% of the amount allocated to    automobile loans. Lastly,  Formulate a LP problem to determine the optimal allocation to maximize annual rate of     return.

Bountiful Boats Problem

4.         Bountiful Boats Problem
Bountiful Boats has to produce at least 5000 cabin cruisers and 12,000 pontoons each       year; they can produce at most 30,000 jet skis in a year. The company has two factories:  one in Michigan, and one in Wisconsin; each factory is open for a maximum of 240 days per year.  Additionally, The Michigan factory makes 20 cabin cruisers, 40 pontoons, and 60 jet skis per day. The Wisconsin factory makes 10 cruisers, 30 pontoons, and 50 jet skipper day. The cost to run the Michigan factory per day is $960,000; the cost to run the Wisconsin factory per day is $750,000. How many days of the year should each factory  run in order to meet the boat production, yet do so at a minimum cost?

The Brooklyn Cabinets Problem

5.         The Brooklyn Cabinets Problem
Brooklyn Cabinets Co. is a manufacturer of kitchen cabinets. Both cabinet styles manufactured by Brooklyn are contemporary and farmhouse. Contemporary style cabinets sell for $85 and farmhouse style cabinets sell for $78. Each cabinet produced  must go through carpentry, painting, and finishing processes. The following table  summarizes the number of hours in each process to be devote to each style of cabinet.

6. Carpentry costs $15 per hour, painting costs $12 per hour, and finishing costs $18 per hour, and the weekly number of hours available in the processes is 3000 in carpentry, 1500 in painting, and 1500 in finishing. Brooklyn also has a contract that requires the company to supply one of its        customers with 500 contemporary cabinets and 650  farmhouse style cabinets each week. Lastly, Brooklyn Cabinets Co. wants to determine the number of cabinets of each style to be manufacture with the goal of maximizing profit. [Hint. Calculate the costs in order to estimate the profits.]