How much additional profit would be generated

Assignment Help Operation Management

Reference no: EM13926300

Given this linear programming model, solve the model and then answer the questions that follow.

Maximize 12x1 + 18x2 + 15x3 where x1 = the quantity of product 1 to make etc. Subject to

Machine 5x₁ + 4 x₂ + 3x₃ <>160 minnutes

Labor 4 x₁ + 10x₂ + 4 x₃ <>288 hours

Materials 2 x₁ + 2 x₂ + 4 x₃ <>200 pounds

Product 2 x2 <>16 units

x₁, x₂ , x₃ > 0

a. Are any constraints binding? If so, which one(s)?

b. If the profit on product 3 were changed to $22 a unit, what would the values of the decision variables be? The objective function? Explain.

c. If the profit on product 1 were changed to $22 a unit, what would the values of the decision variables be? The objective function? Explain.

d. If 10 hours less of labor time were available, what would the values of the decision variables be? The objective function? Explain.

e. If the manager decided that as many as 20 units of product 2 could be produced (instead of 16), how much additional profit would be generated?

f. If profit per unit on each product increased by $1, would the optimal values of the decision vari- ables change? Explain. What would the optimal value of the objective function be?

Reference no: EM13926300

Questions Cloud

Explain in detail resource allocation : Any required organizational change management strategies that would enhance successful implementation

The information on mental health disorders and issues : In considering the information on mental health disorders and issues in children and adolescents, comment on at least 3 things that you have learned about mental health issues. In addition, comment on what you will be more aware of with children and ..

Problem regarding the organizational assessment : As the human resources (HR) manager for a public organization, you are conducting a New Hire Orientation session for all new employees. As research for your orientation, you are writing a report about the functions of the organization, its strengt..

Assignment regarding the starbucks strategy : Using the Internet and Strayer University databases, research Starbucks' organizational culture and the key leadership and management traits used to execute the business strategy. Write a four to five (4-5) page paper in which you:

How much additional profit would be generated : If the manager decided that as many as 20 units of product 2 could be produced (instead of 16), how much additional profit would be generated?

Residuals from regression line predicting weight-height : I calculate the residuals from a regression line predicting weight from height. I nd that all the residuals are negative. This is impossible; I must have made a mistake in my calculations.

What disequilibrium situation results : What is the equilibrium price? If a minimum price (price floor) of $6 is set, What kind of disequilibrium situation results?

Process of interpreting a sender''s message into thought : In this print ad, the source of the advertising message is: the Tennessee Department of Tourist Development.

What would be appropriate punishment for this behavior : Suppose it is discovered that a graduate student is mistreating experimental mice by not euthanizing them in a timely manner (allowing those animals to experience an unacceptably high level of pain). What would be appropriate punishment for this b..

User Account

All Pages