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A young couple, Eve and Steven, want to divide their four main household chores so that each is responsible for two of them but the total time spent on housework is kept to a minimum. The table below shows how many hours each partner requires for each task.
Hours Required for each Task
Partner
Marketing
Cooking
Cleaning
Laundering
Eve
3.2
7.4
4.1
2.5
Steven
4.0
6.8
4.5
2.7
i) formulate and solve an integer program to determine who does what.
ii) modify the formulation by adding a constraint that whoever does the cleaning should not also do the marketing. Re-solve the modified formulation.
1. evaluate lim sup ek and liminf ek of ek-1k1 for k odd and liminf ek-11k for k even.nbsp2. show that the set e x in
Compare the results of i) to the exact solution and comment on the accuracy of the numerical algorithm and adopted step size.
Simple differential equation modelling the smoke layer depth (y) in a large atrium provided with dynamic smoke extraction system.
Your boss calls you into his office and he is extremely angry. He was embarrassed at a meeting because he put forward a recommendation that you had made and his idea was shot down by one of the technical geniuses in another department.
Dirichlet series
Daily Airlines fies from Amsterdam to London every day. The price of a ticket for this extremely popular flight route is $75. The aircraft has a passenger capacity of 150.
Suppose that in the four player game, the person who rolls the smallest number pays $5.00 to the person who rolls the largest number. Calculate each player's expected gain after one round.
Use 4th order Runge-Kutta Method with step size h =0.2 and h =0.1 to find y(2) and sketch all the solutions on the interval [1, 2] with appropriate legend for comparison.
1- compute the condition number of each eigenvalues of the matrix 0 -1 1 2b and determine for which values of b the
Discrete-time model for an economy
1. let x1 middot middot middot xn be n ge 2 independent random variables where each xi has the exponential distribution
1.nbspfor r euro ir show thatnbsp 2. weknow that the dirichlet seriesnbsp converges fornbspsigma gt 0.use this to
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