3.4-15* A cargo plane has three compartments for storing cargo:front, center, and back. These compartments have capacity limitson both weight and space, as summarized below:WeightСаpacity(Tons)SpaceСapacity(Cubic Feet)CompartmentFront7,0009,0005,00012Center18Back10Furthermore, the weight of the cargo in the respective compart-ments must be the same proportion of that compartment's weightcapacity to maintain the balance of the airplane. The following four cargoes have been offered for shipmenton an upcoming flight as space is available:CargoWeight(Tons)VolumeProfit(Cubic Feet/Ton)(S/Ton)120500320216700400325600360413400290Any portion of these cargoes can be accepted. The objective is todetermine how much (if any) of each cargo should be accepted andhow to distribute each among the compartments to maximize thetotal profit for the flight.(a) Formulate a linear programming model for this problem.c (b) Solve this model by the simplex method to find one of itsmultiple optimal solutions.

Objective Functions and Constraints: Based on the given details, the objective…

Answered: 3.4-15* A cargo plane has three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Johnson Fastener and Tool had a six-hour work stoppage yesterday, which means the company does not have its usual number of fasteners stored in inventory. Concerned that the inability to fulfill all current orders may have an adverse effect on some customers, Acme's account executives are notifying all customers, including Henderson Air, that there could potentially be a small delay in delivering some orders. This is an example of:
An assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 775 jit-togethers. The container for gadjits holds 85 units. The policy variable for center 1 is set at 0.08. The average waiting time for a container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 55 units, and the policy variable for center 2 is 0.05. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.23 day. a. How many containers are needed for gadjits? b. How many containers are needed for widjits? containers. (Enter your response rounded up to the next whole number.) containers. (Enter your response rounded up to the next whole number.)
a)Resolution of issue pertaining to storage of steel plates. b)What objectives are to be planned to address the delays in up-gradation of facilities? c)Suggest a strategy to accomplish the objectives planned (in part b). d)How to manage orders those are queued for which it is confirmed that they will be delayed and penalty is inevitable?
The sanitary landfill charges companies $200 per load and individuals $50 per load. On average, 90 companies tip their trucks each day at the landfill with a standard deviation of 30. There is time only for 110 deliveries in any combination of companies and individuals throughout the course of an eight-hour day. Company dump trucks enter through Gate A and individuals enter through Gate B. Individual demand is plentiful – often there are individuals turned away due to lack of capacity. It costs the landfill $30 to process a company dump truck and $15 to process an individual load. What is the expected profit for one day if the landfill allocates the optimal quantity of capacity to company trucks and individuals fill up the remainder of the сараcity? -
Evaluate the ethical considerations involved in inventory optimization, including its social and environmental implications.
29 Meritor is so pleased with the outcome from previous suggestions that the consultants are invited back for more work. The consultants now suggest a more complete robotic automation of the making of muffler assemblies and also a reduction in container size to five per container. Meritor implements these suggestions and the result is that the muffler assembly fabrication cell now averages approximately 20 assemblies per hour, and the catalytic converter assembly cell can now respond to an order for a batch of catalytic converters in one hour. The safety stock remains at 11.5 percent. How many kanban cards are needed? Note: Round up your answer to the next whole number.
Two models of controlling boards. The 1" type has high specification for work from the 2nd type. The better type has a profit of 50S and the other 40$ per board. The 1 type of boards requiring five as much as the 2nd needs for production and the total production are 2000 boards, the first model requires 400 min to be complete and 700 min to the second model. Write this expression with LP equations to have the maximum profit with production of each model.
In question 4, why did we consider the needed waiting for trucks from 6pm to 8am?
What is the purpose of carrying safety stock? Under what circumstances would you carry high/low safety stock?
9
Evaluate an alternative that involves consolidating all 20-foot container volumes and using only a single consolidation center in Shanghai/Ningbo. Assume that all the existing 20-foot container volumes and the existing consolidation center volumes are sent to this single consolidation center by suppliers. This new consolidation center volume would be packed into 40-foot containers, filled to 96 percent, and shipped to the United States. The existing 40-foot volume would still be shipped direc t from the suppliers at 85 percent capacity utilization.

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