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  1. Martha Manufacturing a product through three separate production lines “A”, “B” and “C”. Costs for producing a product through each line as well as maximum outputs of each line and fixed cost associated with setting up the line is shown below:

Production line

Cost per unit

Maximum production

Fixed cost

A

1.5

28

150

B

1.0

32

170

C

1.25

25

160

The company has received an order of 60 units to be produced.

Model the problem for optimum number of products to be made from each production line.

  1. Formulate a linear programming model for maximizing total profit contribution. (7 marks)
  1. Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution? (7 marks)

**Note that you need to submit your excel document to get credit for this part. please attach the formula for each section and please do it asap


 
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In an online game, N blocks are arranged in a hierarchical manner. Each block is given an ID from 1 to N. A block may be further connected to other blocks. All the blocks are connected by N-1 connections. Each block is assigned a specific point value. A player starts from a block (S). She must move forward from each block to a directly connected block until she reaches the final block, which has no further connection. When the player lands on a block, she collects the point value of that block. The player’s score is calculated as the product of block points that the player collects. The player who earns the maximum score wins the game. Write an algorithm to find the maximum score of the winner.
 
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Multiple Decision-Making Criteria. Your company, which is known around the world as a “good corporate citizen” has decided to expand its manufacturing facilities in China. You are the vice president responsible for Asian operations and are concerned that China’s air, water, and soil have deteriorated at an alarming rate as a consequence of the approaches both industry and the Chinese government have taken to foster the country’s rapid economic development. What do you recommend that your company do to take into consideration the nature of the current environmental crises, China’s new and proposed environmental legislation, and your company’s decision to benefit from the cost advantages of expanded operations in this rapidly developing economy?

 

 
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You are a 3 pm to 11 pm charge nurse on a surgical unit. You have been selected to chair the unit’s safety committee. Each month, you have a short committee meeting with the other committee members. Your committee’s main responsibility is to report upward any safety issues that have been identified. Lately, you have found an increase in needle-stick incidents, and the committee has been addressing this problem. The committee is made up of two nursing assistants, one unit clerk, two staff RNs, and two LPN/ LVNs. All shifts and staff cultures are represented. Lately, you have found that the meetings are not going well because one member of the group, Mary, has begun to monopolize the meeting time. She is especially outspoken about the danger of HIV and seems more interested in pointing blame regarding the needle sticks than in finding a solution to the problem. You have privately spoken to Mary about her frequent disruption of the committee business; although she apologized, the behavior has continued. You feel that some members of the committee are becoming bored and restless, and you believe that the committee is making little progress. ASSIGNMENT:  Using your knowledge of committee structure and effectiveness, outline steps that you would take to facilitate more group participation and make the committee more productive. Be specifi c, and explain exactly what you would do at the next meeting to prevent Mary from taking over the meeting.

 

 
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