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Consider the following maximum problem in standard form:
Maximize Z = 8X1 + 2X2 + 3X3
Subject to the constraints
X1 + 3X2 + 2X3 < 10
4X1 + 2X2 + 3X3 < 8
X1 > 0, X2 > 0, X3 > 0
(a) Rewrite the two constraints as equations by adding slack variables S1 and S2.
(b) Set up the initial simplex tableau for this problem.
Use the pattern in (b) to trace the effects of increasing the requirement by 10 percent. How will the optimal mix change? How will the optimal cost change?
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consider the following lpmaximize z4x15x23x3subject tox1x24x3le6x12x2x3le7x14x22x3le12a add slack variables x4 x5 and
1. Find the derivative. 5. The displacement s (in cm) of a linkage joint of a robot is given by s = (4t-t2)2/3, where t is the time (in s). Find the velocity of the joint for t = 2.75 s.
Using the data provided inTable 8-5 in your textbook, determine the production frontiers for the Durham Health Clinic. Which station should be expanded to increase the overall capacity of the clinic, and why?
For the container of Fig use Bernoulli's equation to derive a formula for the distance X where the free jet leaving horizontally will strike the floor, as a function of h and H. For what ratio h/H will X be maximum? Sketch the three trajectories f..
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For the composite areas shown first determine the centroids and second determine the moment of inertia with respect to the centroidal axes Ixc and lyc.
Identify what makes flipping a coin and keeping track of tails a binomial experiment and please give one example of each, and describe how these examples differ from one another
Find the quadrature component of the VSB signal s (t). The VSB signals, plus the carrier Ac cos (2pA?ct) is passed through an envelope detector. Determine the distortion produced by the quadrature components.
If the ball is struck and leaves the ground at an initial angle of 30 degree with the horizontal, then with what initial velocity should it be hit to land in the hole?
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