Explain the characteristics of integer programming problems. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples.

## Arrival and service rates for check out lanesIn planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items.. |

## Find the derivative by using the differentiation rulesThe derivative by using the differentiation rules |

## Question about design for reliabilityA system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows: |

## What is the total cost of the purchaseAn investor buys 200 shares of GDT at a price of $63.90 per share, pays a 2 percent commission on the purchase, and sells the 200 shares a year later for $64.00 per share with a 2 percent commission on the sale. What is the total cost of the purch.. |

## What is the probability of selecting a freshmanAdams High School has 165 freshman, 177 sophomores, 214 juniors, and 227 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti.. |

## Find the work done to haul the anchorAn anchor weighing 105 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 30 ft. |

## What is the npv of the systemwhat is the NPV of the system? What is the payback period for this project? Draw the graph. What is the ROI for this project? |

## Compact metric space and contraction mapsLet (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X. We shall define the distance between two maps f,g which belongs to Con(X) as follows: |

## Recurrence relation-compound interestPauline takes a loan of S dollars at an interest rate of r percent per month, compounded monthly. She plans to repay the loan in T equal monthly installments of P dollars each. |

## Determine the probability that no cars arrive eversuppose that cars arrive at a traffic light according to a Poisson process with a rate of one car per minute starting from t=0 minutes. |

## Explain finite abelian groupThe answer to finite abelian group, Suppose that G is a finite Abelian group and G has no element of order 2. Show that the mapping g-->g^2 is an automorphism of G. |

## Application of calculus-optimization problemApplication of Calculus-Optimization problem - Show that the shortage length of such a rope occurs when θ 1 = θ 2 |

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