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we are given a directed graph G=(N,A) and a demand or supply bi for each i∈N, such that ∑bi=0, i∈N. There are two types of costs:transportation costs cij of shipping one unit from node i to node j,and building costs dij of establishing a link(i,j) between nodes i and node j of capacity uij. We would like to build such a network in order to minimize the total building and transportation costs, so that all demand is met. Formulate the problem as an integer programming problem.
How many pizzas must be sold to break even (i.e., you experience neither a profit nor a loss)? Interpret your result.
The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 35 feet in radius. Your ball is located as in the picture below.
Chemist has 400ml of solution of which 80% is alcohol. How much water needs to be added to dilute solution to 50% alcohol? Please provide step by step breakdown so I can understand how this is solved.
Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points.
A rancher wants to fence in 3 adjacent rectangular pens in a row. Adjacent pens share one fence, and all pens are of equal size. If the rancher uses 144 yards of fencing, find the maximum total area he can enclose.
how do you work out the trapezoidal rule estimate the integral within equal four, the integral of sign to t, from 0 to pie, when the answer is 1.8961.
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
Find p-value and interpret its meaning
What are some of the problems and drawbacks of the moving average forecasting model? How do you determine how many observations to average in a moving average model?
the proportions of the rectangle never changes. how fast is the area of the rectangle increasing when its dimensions are 12cm by 8cm.
Nielsen media research provides two measures of the television viewing audience: a television program rating, which is the percentage of households with televisions watching a program and a television program share
What is the velocity of the ball when it is 96 ft above the ground on its way up?
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