Op Management online test 1

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? Answers: 48 175 85 137 None of the above

Selected Answer: 85

Consider the following linear programming problem: Max Z = $200x1 + $100x2 Subject to: 8x1 + 5x2 ≤ 80 2x1 + x2 ≤ 100 x1, x2 ≥ 0 What is maximum Z and the value of x1 and x2 at the optimal solution? Answers: Z = 2000; x1 = 10; and x2 = 0; Z = 2000; x1 = 0; and x2 = 20; Z = 1000; x1 = 0; and x2 = 10; All of the above None of the above

Selected Answer: Z = 2000; x1 = 10; and x2=0

Australian road freight company Linfox uses aerodynamic trucks and trailers to reduce fuel consumption. This is a case of generating higher Answers: productivity competitiveness quality stochastic simulation none of the above

Selected Answer: productivity

Which of the following combinations of constraints has no feasible region? Answers: x1 + x2 15 and x1 - x2 10 x1 + x2 5 and x1 10 x1 + x2 100 and x1 + x2 50 x1 + x2 10 and x1 5 All of the above have a feasible region.

Selected Answer: All of the above have a feasible region.

___________________ refers to the ability of an organization to sell products in a market. Please choose the option that best fits the empty space above. Answers: Total Quality Management Productivity Optimal profitability Business competitiveness None of the above

Selected Answer: Business competitiveness

Slack variables are only associated with maximization problems. Answers: True False

Selected Answer: False

When building a mini-boat, a boat builder uses 2 pounds of wood and 3 ounces of glue. If he/she has 3 pounds of wood and 6 ounces of glue, how many mini-boat(s) will he/she be able to build? Answers: zero two four six none of the above

Selected Answer: none of the above

The Pinewood Furniture Company produces chairs and tables from two resources: labor and wood. The company has 120 hours of labor and 100 board-ft. of wood available each day. Demand for table is limited to 8 per day. Each chair requires 3 hours of labor and 4 board-ft. of wood, whereas a table requires 20 hours of labor and 9 board-ft. of wood. The profit derived from each chair is $100 and from each table is $500. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. The correct linear programming model formulation of this problem is: Answers: Max Z = 120x1 + 100x2 Subject to: 3x1 + 4x2 ≤ 100 20x1 + 9x2 ≤ 500 x2 ≤ 8 x1, x2 ≥ 0 Max Z = 100x1 + 500x2 Subject to: 3x1 + 4x2 ≤ 120 20x1 + 9x2 ≤ 100 x2 ≤ 8 x1, x2 ≥ 0 Max Z = 100x1 + 500x2 Subject to: 3x1 + 20x2 ≤ 120 4x1 + 9x2 ≤ 100 x2 ≤ 8 x1, x2 ≥ 0 Max Z = 100x1 + 500x2 Subject to: 9x1 + 4x2 ≤ 120 20x1 + 3x2 ≤ 100 x1 ≤ 8 x1, x2 ≥ 0 none of the above

Selected Answer: Max Z = 100x1 + 500x2 Subject to: 3x1 + 20x2 ≤ 120 4x1 + 9x2 ≤ 100 x2 ≤ 8 x1, x2 ≥ 0

he break-even point is the volume that the profit is positive (greater than zero Answers: True False

False

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 slack/surplus associated with the first constraint - in the optimal point? Answers: 4 8 0 6 None of the above

Selected Answer: 0

Consider the following linear programming problem: Max Z = 4x1 + 2x2 Subject to: x1 4 x2 2 x1, x2 ≥ 0 The Z obtained from the best combination of x2 and x1 is: Answers: 4 20 16 25 None of the above

Selected Answer: 20

If by processing the same amount of inputs used in the past a company is now capable to produce a(n) ________ amount of outputs, it means that an improvement of productivity was achieved. greater similar lower exactly the same none of the above

greater

Considering the following LP problem: Min Z= 23x+38y s.t. 3x+6y < 90 9x-8y>30 2x+10y<50 -5x+8y<100 x,y>0 Which one of the following option is correct: Answers: The problem is infeasible The problem is unbounded There are more than one optimal solution (0 , 5) is the optimal solution none of the above

none of the above