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You are a locksmith tasked with producing keys k1,..., kn that sell for p1,..., pn respectively. Each key kitakes gi grams of gold and si grams of silver. You have a total of G gold and S silver to work with, and canproduce as many keys of any type as you want within the time and material constraints.(a) Unfortunately, integer linear programming is an NP-complete problem. Fortunately, you have foundsomeone to instead buy the alloys at an equivalent price! Instead of selling keys, you have decided tofocus on melting the prerequisite metals together, and selling the mixture. Formulate the linear programto maximize the profit of the locksmith, and explain your decision variables, objective function,and constraints.(b) Formulate the dual of the linear program from part (a), and explain your decision variables, objectivefunction, and constraints. Your explanation should be more specific than constraint multipliers forgeneric linear programs.Hint: Formulate the dual first, then think about it from the perspective of the locksmith when negotiatingprices for buying G gold and S silver if they had already signed a contract for the prices forthe output alloys pi. Think about the breakeven point, from which the locksmith's operations begin tobecome profitable for at least one alloy.
How can implicit scoping serve to limit the effective lifetime of temporaries?
What data validation check would the clinic need for the new patient data entry screen? Write a brief memo with your recommendations.
The next morning, she was called to a meeting with an investigator from corporate security, which led to more meetings with others in corporate security, and then finally a meeting with the director of human resources and the CIO of XYZ.
What is the name of the computer program that simulates the thought processes of human beings?
Show that each computation cycle of a p-processor EREW PRAM can be simulated on a √p ×√p mesh in O(D√p) steps, where D is the maximum number of processors accessing memory locations stored at a given vertex of the mesh.
Based on the concern that we may be running out of oil, describe at least two renewable alternatives to oil that are currently available and discuss the barriers that keep these alternatives from replacing oil as our primary means of energy.
A heat pump with a coefficient of performance of 3.8 provides energy at an average rate of 75,000 kJ/h to maintain a building at 21°C on a day when the outside temperature is 0°C. If electricity costs 8 cents per
Databases evolved from flat file systems. As technology advanced, the limitations of flat files became evident. The database model has evolved to meet the business needs of the time. As the information age evolved, organizations realized there was..
Convert the hexadecimal number FE95 to decimal and the decimal number 98694 to hexadecimal. Be sure to show all the steps and perform the subsequent binary multiplication operations. Use as many bits as necessary to represent the result.
In your opinion, what are the three biggest challenges in planning and designing a solution for a programming problem? What can you do to overcome these challenges? How would you apply these techniques to the programs in this class?
Go to a popular online electronic commerce site like Amazon.com. Place several items in your shopping cart, and then go to check out. When you reach the screen that asks for your credit card number, right-click on the Web browser and select "Propert..
The output should indicate the position where the first offending parenthesis is found if the string is not properly nested and balanced. Use a stack to track the left parenthesis.
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