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A product is produced at three plants and shipped to four warehouses. Production costs per unit is $50 at Plant A, $20 at Plant B, and $30 at Plant C. The transportation costs per unit, plant capacity, and warehouse demand are given as follows: Warehouse 1 Warehouse 2 Warehouse 3 Warehouse 4 Capacity Plant A 12 9 13 12 300 Plant B 8 14 7 11 300 Plant C 14 10 13 10 400 Demand 200 350 150 300 What is the minimum total transportation and production costs in satisfying the demand of each warehouse and capacity of each plant?
A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius c. If the density function is ρ(x, y) = kxy, find the mass and center of mass of the wire.
to check whether the representation of input elements does not affect the running time of an algorithm.suppose you have
Two balls are chosen randomly from a basket containing 8 white, 4 black and 2 orange balls. Suppose that we win $2 for each black ball selected and we lose $1 for each white ball selected. Let X denote our winnings.
Explain the statistical analysis that you completed in Part I. Be sure to explain where the data came from, what analysis was done, and what the results were.
The average SAT math scores M of potential college students can be approximated by M = 1.4t + 518, where t is the number of years since 2004.
Find the average velocity for the time period beginning when t = 2 and lasting 0.5 second.
Estimate the MSE, MAD, cumulative error and average error
If the solid can rest in equilibrium with any point of the curved surface of a hemisphere in contact with the horizontal plane, find the height of the cone in terms of r.
Think about the requirment to solve this problem using only seventeenth- and eighteenth-century tools and methodologies. List and discuss some of the constraints that imposes.
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 5 PM?
We also discussed rotations of common shapes in the plane using a change-of-base. Walk through one or two examples and discuss how the "usual" basis {(1,0) and (0,1)} can be limiting. Does this suggest why other bases might be better in certain ci..
A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square. What are its dimensions?
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