Ops 1

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.

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

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?

0

Consider the following linear programming problem: Max Z = 4x1 + 2x2 Subject to: x1 less or equal than 4 x2 less or equal than 2 x1, x2 ≥ 0 The Z obtained from the best combination of x2 and x1 is:

20

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

Which of the following combinations of constraints has no feasible region? x1 + x2 greater or equal than 15 and x1 - x2 less or equal than 10 x1 + x2 greater or equal than 5 and x1 greater or equal than 10 x1 + x2 greater or equal than 100 and x1 + x2 greater or equal than 50 x1 + x2 greater or equal than 10 and x1 greater or equal than 5 Correct All of the above have a feasible region.

All of the above have a feasible region

Slack variables are only associated with maximization problems.

False

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

False

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?

Z = 2000; x1 = 10; and x2 = 0

__________ refers to the ability of a company to sell products in a market

business competitiveness

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

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

one

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

productivity