Opps

Let A, B, and C be the amounts invested in companies A, B, and C. If no more than 50% of the total investment can be in company B, how can you express thatas a constraint

-0.5A + 0.5B - 0.5C ≤ 0

For a standard normal distribution, what is the probability that z is greater than 1.75?

0.0401

Considering the same problem of question 10, if one of unit of hour in the paint process is increased, the profit would be increased to:

33.33

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

9.25 at x1=0 and x2=4.625

The sensitivity range for an objective function coefficient in the range of values over which the current ______________ will remain optimal

Optimal solution

If Xab = the production of product a in period b, then to indicate that the limit on production of the company's 3 products in period 1 is 250, we write:

X11 + X21 + X31 ≤ 250

The ______ and sample variance are derived from a subset of the population data and are inferences about the population

sample mean

What is the average drying time if you simulate 10 trials using these random numbers: 0.13,0.09,0.19,0.81,0.12,0.53,0.95,0.97,0.96, and 0.07

14.3

A company markets educational software products and is ready to place three new products on the market. Past experience has shown that for this particular software, the chance of success is 80%. Assume that the probability of success is independent for each product. What is the probability that exactly 1 of the 3 products is successful?

.096

In formulating a mixed integer programming problem, the constraint x1 + x2 ≤ 500y1 where y1 is a 0-1 variable and x1 and x2 are continuous variables, then x1 + x2= 500 if y1 is:

1

The area under the normal curve represents probability, and the total area under the curve sums up to

1

Administrators at a university are planning to offer a summer seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment, Assume it costs $25 per student for the administrators to provide the course materials. If we know that 20 people will attend, what price should be charged per person to break even?

175

Considering the same problem of question 10, the lower limit of the regular product (R) objective function coefficient (profit of R) is:

30

In a 0-1 integer programming model, if the constraint is x1-x2 ≤ 0, it means that when project 2 is selected, project 1 ________ be selected.

Can sometimes

The ____ test is a statistical test to see if an observed data fit a particular probability distribution

Chi square

For a minimization integer linear programming problem, a feasible solution is ensured by rounding ___________ non-integer solution values if all of the constraints are the greater-than-or-equal-to type

Down

The constraint (x1 + x2 + x3 + x4 + x5 = 3) means that _________ out of the _________ projects must be selected

Exactly 3,5

The owner of Chips etc. produces two kinds of chips: lime(L) and vinegar(V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce, while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips are $0.50. What is theformulation for this problem?

MAX Z = 0.4L + 0.5Vs.t. 2L + 3V ≤ 4800 6L + 8V ≤ 9600 1L + 2V ≤ 200

_____ simulation is limited because of the amount of real time required to simulate even one

Manual

The Lagrange multiplier reflects the appropriate change in the objective function resulting from a unit change in the __________ of the constraint equation.

Right-hand side

Validation of a simulation model occurs when the true ____ average results have been reached

Steady state

Compared to blending and product mix problems, transportation problems are unique because:

The solution values are always integers.

Let xij = gallons of component i used in gasoline j. Assume that we have four components and four types of gasoline. There are 7000 gallons of component 1 available, and the demand gasoline types 1, 2, 3 and 4 are 8,500, 11,000, 12,000and 14,000 gallons, respectively. Write the supply constraint for component 1.

X11 + X12 + X13 + X14 ≤ 7000

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 5

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

one chair

In a linear programming problem, the sensitivity range for a constraint quantity value is also the range over which the _____ is valid. Please choose the option that would best fit the empty space above.

shadow price

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

x1+x2 ≥100 and x1+x2 ≤50

The type of linear program that compares services to indicate which one is less productive or inefficient is called

x1+x5≤1,x2+x5 ≤1

Let xi=1 if Project i is selected, i = 1,2,3,4,5; and 0 otherwise: Which answer below indicates that if Project 2 is selected, then Project 5 must also be selected

x2≤x5