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Prove that if P is an LP(linear programming) in standard form, P has an optimal solution, and P has no degenerate optimal solutions, then there is a unique optimal solution to the dual of P. You can assume that the matrix A is full rank. (Hint: Use the complementary slackness condition and the fact that if an LP in standard form has an optimal solution, then it has no optimal basic feasible solution)
1. Why is it necessary to account for the order of a matrix when adding or subtracting matrices?
Find the amount of material needed to create such logo.
Discuss the communication challenges of groups and teams with your mentor. What challenges does he or she find most common? What strategies does he or she use to address these challenges?
1. an equalateral triangle has an area of 100in2. what is the length of its side?2. the sum of the circumference and
Discuss the advantages and disadvantages of both sealed bidding and contracting by negotiation.
A chemist need 180 milliliters of a 40% solution but has only 28% and 46% solutions available. Find how many mililiters of the 46% solution you will need to get the desired solution.
write equation for the hyperbola that satisfies each set of conditions.
Discuss the importance of Quality, Lean, and JIT for a manufacturing enterprise. How are these three concepts or practices related?
Draw a graph as before and use it to help you decide if it is possible to fill all the positions from among the applicants deemed suitable. If you can do so, give an assignment of people to jobs. If you cannot, try to explain why not.
What is the equation of the demand curve if consumer incomes are $30,000, the price of good Y is $10, and the price of good Z is $20? Graph the demand curve that your found above, shown intercepts and slop.
Determine whether the following arguments are best interpreted as being inductive or deductive.- Because triangle A is congruent with triangle B, and triangle A is isosceles, it follows that triangle B is isosceles.
Write a formula for the CPI as a function of t , years after 2009, assuming that the CPI increases by 2.7% every year.
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