Hw 1 Solutions

Promoting a sense of urgency within the organization can help:

competing on speed of delivery

When building a chair, a carpenter uses 2 pounds of wood and 3 ounces of glue. If the Carpenter has 3 pounds of wood and 6 ounces of glue, how many chairs will he/she be able to build?

one chair

A company can compete on cost by:

producing standardized products for larger markets

Australian road freight company Linfox uses aerodynamic trucks and trailers to reduce fuel consumption. This is a case of generating higher

productivity

Optimizing variance in final output can augment

quality

Administrators at a university are planning to offer a summer seminar. It costs $4000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $45 per student for the administrators to provide the course materials. If we know that 100 people will attend, what price should be charged per person to break even?

85

refers to the ability of an organization to sell products in a market.

Business competitiveness

Six Sigma is a quality management approach that seeks to identify and remove the causes of problems in the operations process, achieving virtually defect-free production. Which of the following will directly contribute to six sigma quality management process?

Continuous improvement of processes Reduce variance in final output Strictly conforming to standards

Slack variables are only associated with minimization problems.

FALSE

Cadbury's chocolate operations in Tasmania does produce greenhouse emissions, but is taking steps to reduce those emissions. This is an example of:

Socially responsible and ethical management

Consider the following linear programming problem: Max Z = 4x1 + 2x2 Subject to: x1 ≥ 4 x2 ≤ 2 x1, x2 ≥ 0 If the objective function is a Minimization one instead of a Maximization, the Z obtained from the best combination of x2 and x1 would be:

16

Consider the following linear programming problem: Max Z = $15x + $20y Subject to: 8x + 5y ≤ 40 0.4x + y ≥ 4 x, y ≥ 0 Considering that the values for x and y that will maximize revenue are respectively x = 0 and y = 8, what is the amount of surplus associated with the second constraint - in the optimal point

4

Consider the following linear programming problem: MIN Z = 3x1 + 2x2 Subject to: 2x1 + 3x2 ≥ 12 5x1 + 8x2 ≥ 37 x1, x2 ≥ 0 What is minimum Z and the value of x1 and x2 at the optimal solution?

9.25 at x1 = 0 and x2 = 4.625

The break-even point is the volume that the profit is positive (greater than zero).

FALSE

Burglar John infiltrated a house. Unfortunately, he has a relatively small backpack which helps him to carry at most 40 lbs. Possessing a discriminating eye, he can immediately determine how much the items worth. There are 5 different items available. His aim is to maximize the dollar value of the stuff carried away, the overall weight being less than the weight he can carry by using his backpack. Weight and value of each item is given in the following table.

Item 4

Multiple optimal solutions can occur when the objective function has the same slope of at least one of the constraints.

TRUE

Productivity is

efficiency

Strictly conforming to design specifications enables

quality competitiveness.

Fixed cost includes:

staff and management salaries

Which of the following combinations of constraints has no feasible region?

x1 + x2 100 and x1 + x2 50