is a technique to determine the maximum amount that can flow through the network.
The correct answer is: maximal flow
Juan is advised to take in at least 108 units of vitamin A and at least 160 units of vitamin C from the prescribed capsules, P and Q only. One capsule P contains 3 units of vitamin A and 6 units of vitamin C, while one capsule Q contains 6 units of vitamin A and 5 units of vitamin C. Capsules P and Q cost 10.00 and 12.00 per capsule respectively. What is the constraint for Vitamin C?
The correct answer is: 6x + 5y ≥ 160
The owner of WWW Construction Company must decide between building a housing development, constructing a shopping center, and leasing all the company’s equipment to another company. The profit that will result from each alternative will be determined by whether material costs remain stable or increase. The profit from each alternative, given the two possibilities for material costs, is shown in the following payoff table:
What is the best decision using the minimax regret criterion?
The correct answer is: shopping center
What is the corresponding payoff if maximin criterion is used?
The correct answer is: 40,000
What is the corresponding payoff if the Hurwicz criterion (with α=0.20) is used?
The correct answer is: 40, 000
What is the corresponding payoff if maximax criterion is used?
The correct answer is: 105,000
What is the best decision using the Laplace or equal likelihood criterion?
The correct answer is: shopping center
A steel mill in Gary supplies steel to manufacturers in eight other Midwestern cities by truck, as shown in the following network. The travel time between cities, in hours, is shown along each branch. Determine the shortest travel time from Gary to Pittsburgh.
The correct answer is: 10.5 hrs
most probable time or the “best guess” of the duration time to complete an activity.
The correct answer is: Most likely time
A plant has four operators to be assigned to four machines. The time (minutes) required by each worker to produce a product on each machine is shown in the following table.
Determine the operator assigns to machine D.
The correct answer is: operator 4
Operator 2 will handle to machine ___.
The correct answer is: machine A
Fruit juice corporation produces mango and pineapple juices by gallons. The costs per gallon of mango juice and pineapple juice are 80.00 and 70.00, respectively. The corporation’s management specifies that the total production of mango and pineapple juices combined must be at least 200 gallons. It takes 15 minutes to extract one gallon of mango juice, and it takes 20 minutes to extract a gallon of pineapple juice by using the modern extracting machine. In this production period, the extracting time available is 3600 minutes.
What is the constraint for the total production combining mango and pineapple mango juices?
The correct answer is: x + y ≥ 200
what is the constraint for extracting time?
The correct answer is: 15x + 20y ≤ 3600
ABC company must decide how many cases of milk to stock each week to meet demand. The probability distribution of demand during the week is shown in the following table:
Each case costs the grocer $10 and sells for $12. Unsold cases are sold to the local farmer (who mixes the milk feed for livestock) for $2 per case. If there is a shortage, the grocer considers the cost of customer ill will and lost profit to be $4 per case. The grocer must decide how many cases of milk to order each week.
Determine the ideal number of cases of milk to stock/order each week.
The correct answer is: 16
What is the expected value (EV)?
The correct answer is: $27.20
Compute the Opportunity loss.
The correct answer is: $5.80
What is the expected value with perfect information
The correct answer is: $5.80
Complex projects require a series of activities, some of which must be performed sequentially and others can be performed in parallel with other activities.
The correct answer is 'True'.
Samantha (Sam) Stone is the plant manager for the Burlington Hosiery Mill, Inc. From time to time, Sam must send out information for controlling the production process to each work station supervisor for use by the employees at the station. Since delivery of the information involves quite a bit of walking, Sam is interested in installing microcomputers at all workstations. Sam has drawn the following diagram showing distances in feet from her office to the workstations and indicating possible paths from one station to another. (Walls and stairs prevent direct connection of all workstations.)
The correct answer is: 535 ft
marks the start or completion of a particular activity and is represented by a circle
The correct answer is: event
tasks that can be started simultaneously after an event.
The correct answer is: parallel activities
tasks which are sequenced along a path of the PERT network
The correct answer is: Serial activities
determine the project completion time.
determine the project completion time.
The correct answer is: 68.7 days
determine the critical path.
The correct answer is: A-D-F-H-J-K
is a technique that determines the best way to connect multiple nodes to a single network without any cycles and with the minimum possible total edge weight or cost.
The correct answer is: minimal spanning tree
refers to the path in the PERT network that gives the longest total time from originating event to terminal event
The correct answer is: critical path
The activities are interrelated in a logical sequence in the sense that some activities cannot start until others are completed
The correct answer is 'True'.
Defines a combination of interrelated activities that must be executed in a certain order before the entire task can be completed.
The correct answer is: project
Is a quantitative method that permits systematic evaluation of the costs or benefits accruing to courses of action that might be taken in a decision problem.
The correct answer is: decision analysis
the earliest start at which activity can start such that all precedence relationships for that activity are completed or the longest total time of the preceding serial activities.
The correct answer is: earliest start
is an acronym for Program Evaluation and Review Technique which was developed in 1958 by the US Navy in collaboration with the management consulting firm for scheduling the research and development activities for the Polaris missile program
The correct answer is: PERT
Juan is advised to take in at least 108 units of vitamin A and at least 160 units of vitamin C from the prescribed capsules, P and Q only. One capsule P contains 3 units of vitamin A and 6 units of vitamin C, while one capsule Q contains 6 units of vitamin A and 5 units of vitamin C. Capsules P and Q cost 10.00 and 12.00 per capsule respectively.
What is the objective function of the problem?
The correct answer is: Minimize Z=10x + 12y
is a technique that determines the shortest path through the network.
The correct answer is: shortest path
Consider the transportation model below, What is the total cost using Vogel’s Approximation Method?
The correct answer is: 20, 300
Juan is advised to take in at least 108 units of vitamin A and at least 160 units of vitamin C from the prescribed capsules, P and Q only. One capsule P contains 3 units of vitamin A and 6 units of vitamin C, while one capsule Q contains 6 units of vitamin A and 5 units of vitamin C. Capsules P and Q cost 10.00 and 12.00 per capsule respectively.
What is the constraint for Vitamin A?
The correct answer is: 3x + 6y ≥ 108
other terms for Operation Research.
The correct answer is: decision science
A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 hours. Each product requires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 (x) is 6.00 per unit, and the profit for product 2(y) is 4.00 per unit.
What is the constraint for assembly line 1?
The correct answer is: 10x + 10y ≤ 100
What is the objective function of the problem?
The correct answer is: Z=6x + 4y
What is the total profit?
The correct answer is: 46.00
Determine the value of (x,y)
The correct answer is: (3,7)
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