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Question: Consider two price vectors q1 and q0 and the corresponding optimal production plans z1 and Zo Because z1 is feasible but not necessarily optimal for q0, it must yield a lower profit than Zo at this price vector. Using this observation, show that for any i, Δqi, Δzi ≥ 0 (e.g., for the first component of these vectors we have ΔpΔy ≥ 0, i.e., an increase in the price of output must yield an increase in supply).
For each of the following pairs of polynomials f,g, find the greatest common divisor and find polynomials r,s such that rf + sg = g.c.d.(f,g). (a) x3 - 3x + 3, x2 - 4
How many weighings of a balance scale are needed to find a lighter counterfeit coin among four coins? Describe an algorithm to describe the lighter coin using this number of weighings.
use the vertex (55,30) and the additional point (35,20) from the scatter diagram to find the equation of the parabola in standard form implied by the scatter diagram.
He invests the other half in a money market fund that retirement account that averages 7.3% interest compounded annually over the 5-year period. How much money will he have all together in the two accounts at the end of the 5-year period?
Emilio has 6 more nickels than dimes, and the total value of his coins is $2.10. How many nickels does he have? Let n represent the number of nickels
Calculate the mean and the standard deviation of the total score?
A 12 inch piece of wire is to be cut into two pieces. One piece is to be used to form a square and the other to form a circle. How should the wire be cut if the sum of the areas is to be maximized?
Determine whether the given experiment has a sample space with equally likely outcomes.
Find the area of the region bounded by the parabola y = 3x2, the tangent line to this parabola at (1, 3), and the x-axis.
Explain internalisation and externalisation strategies of Priceline Group' multilingual customer service operation.
A cube is increasing in volume at a rate of 10cm3/sec. Find the rate of change of the surface area of the cube when one edge has length 2cm.
A body with mass 250g is attached to the end of a spring that is stretched 25cm by a force of 9N. Find x(t) in the form C cos(ω0t - a). Find the amplitude and period of motion of the body.
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