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A factory consists of m machines: M1, ..., Mm, and needs to process n jobs every day. Job j needs to be processed once by each machine in the order (Mj(1), ..., Mj(m)). Machine Mi takes time pij to process job j. A machine can only process one job at a time, and once a job is started on any machine, it must be processed to completion.
The objective is to minimize the sum of the completion times of all the jobs. Provide an integer programming formulation for this problem.
The first or second derivative test to show that the critical value is a relative maxima or minima.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y:
Flying with the jetstream, the same jet travels 4600km in 4 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
From the top of a building 70 meters high, the angles of depression of two objects that are directly east of the observation position are 38° and 25° respectively. find the distance between the objects.
Find a position vector of a particle that has the acceleration a(t) = if v(0) = and r(0) = .
Explain the quotient rule for exponents and give an example. Explain the power rule for exponents and give an example. Explain the negative exponent rule and give an example.
Find the solutions in the interval - Round terms to three decimal places where appropriate
Transform the equation to standard form and find the center and radius of the circle:
Describe objects that have each of the following types of symmetry.
A mall has three department stores, JC Penney, Macy's, and Sears. A survey of 2,118 people exiting the mall found that 433 made a purchase at JC Penney, 412 made a purchase at Macy's, 638 made a purchase at Sears
55% of a restaurant's orders are from customers eating in the restaurant and 45% from the drive through window. 65% of the orders from the customers eating in the restaurant are from food and 35% from drinks. Solve Probability Problem Quantitative ..
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