Television set manufacturer makes two models

Assignment Help Operation Management

Reference no: EM131275579

A television set manufacturer makes two models of TV sets, LED and HD, and in two sizes, 32" and 55". The firm has to decide on the mix of the combinations of the two models and the two sizes. A market research indicates that at most 2000 of 32" (both models combined) and at most 4000 of 55" TV sets (both models combined) can be sold per month. In addition, past sales records indicate that the combined sales for both sizes of HD TV sets is at least twice the combined sales of the two sizes of LED TV sets. The maximum number of labor-hours available is 30,000 per month. A 32" LED TV set requires 10 labor-hours, a 55" LED TV requires 14 labor-hours, while a 32" HD TV set requires 12 labor-hours and a 55" HD TV set requires 16 labor-hours. The unit profit of a 32" LED, 32" HD, 55" LED and 55" HD TV set is $80, $100, $130 and $140, respectively. It is desired to find the number of TV sets to produce per month for these two sizes and models in order to maximize monthly profit. Formulate a linear programming model for this problem (define variables and setup the objective function and the constraints; also describe in a few words what your objective function and each of your constraints represents). Do not solve. The company has a fixed workforce that does not plan to change. Therefore the only way to increase labor-hours is by overtime. Suppose that at most 6000 extra labor-hours can be obtained by allowing overtime at the average of $30 per hour. Show how you modify the formulation above to find if and how many hours of overtime should be used per month. Do not solve.

Reference no: EM131275579

Questions Cloud

What are the risks associated with breast cancer screening : What are the risks associated with breast cancer screening? Do the risks outweigh the benefits? Why or why not?

Identify the key issues indicated in the case : A real world organizational behavior-related case. Describe the background of the case in detail. Identify the key issues indicated in the case.

Relationship between demand and order management : What is the relationship between demand management, order management, and customer service and provide an example of your personal experience of one of these three main topics (Demand Management, Order Management, and Customer Service).

Heart has different pulse rates depending : Your heart has different pulse rates depending on what daily type activities you are involved in. Is that an example of random or assignable variation?

Television set manufacturer makes two models : A television set manufacturer makes two models of TV sets, LED and HD, and in two sizes, 32" and 55". The firm has to decide on the mix of the combinations of the two models and the two sizes. A market research indicates that at most 2000 of 32" (bot..

Define the strategic sports marketing process : Define the strategic sports marketing process and discuss the various elements in the strategic sports marketing process. Give specific examples from the text as well as from your experience

The number of people participating in sports is growing : Provide 3 examples of how you would measure growth in the sports marketing industry. What evidence do you have that the number of people participating in sports is growing?

About the extent of obligation : You are a physician who is the managing director of a 100-member, multispecialty group practice. There are 290 employees, exclusive of the physicians and other licensed independent practitioners (LIPs). Identify the ethical, legal, and quality issues..

Characteristics apply to judaism : Which of the following characteristics apply to Judaism? Which of the following are challenges Judaism has to respond to? Archeology is an appropriate instrument in determining whether or not God exists. The fact that the Jews repeatedly rejected God..

User Account

All Pages