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An annuity-immediate has payments of $1,000, $3,000, and $7,000 at the end of one, two and three years, respectively. Determine the convexity of the payments evaluated at i=10%.
In a youth contest, Joe will shoot a total of ten shots at four different targets. If Joe wants to maximize his expected number of points, how many shots should he aim at each target?
Triumph Trumpet Company makes two styles each of both trumpets and comets deluxe and professional models. Its unit profit on deluxe trumpets is $80 and on deluxe comets is $60. The professional models realize twice the profit of the deluxe models.
Construct counterexamples to the following statements: For x ∈ R: 'If x is not rational then χ - 1/ χ is not rational'. For p ∈ N: 'If p is prime then 2p - 1 or 2p + 1 is prime'
Computer the standard purchase price for one gram of Alpha SR40. Computer the standard quantity of Alpha SR40 (in grams) per capsule that passes final inspection.
Why not use a multi period planning model? How can one study the dynamic issues associated with developing the proposed fleet for 1982?
The Richter scale is a logarithmic scale, with an increase of one on the scale corresponding to a ten-times increase in the intensity of the earthquake. What would the rating be for a quake that was 10 times as intense as A? What would the rating b..
Thus, it takes three times as long to pack a roll of pasted wallpaper, compared with a roll of standard wallpaper. The pasting plant has a capacity of 100,000 yards per week. The Marketing Department insists that the factory must produce at least ..
Heating is effected in a gas-fired furnace, where products of combustion at T8 = 800°C maintain a convection coefficient of h = 250 W/m2 · K on both surfaces of the plate. How long the plate should be left in the furnace?
Each truck will earn $120,000 per year, which will become part of the cash flow of funds available to the company for truck leasing and loan repayment. The company wants to minimize the total cost of the trucks over the two-year period. Formulate ..
Determine an annihilator for x2 e3x + 5 cos 2x. Convert the following system to a first-order system: d2x/dt2 -3dy/dt+x = sint, d2y/dt2 -tdx/dt-e'y=t2
Use the minimum/maximum regret method to determine the optimal location. Suppose the p(s1)=0.60, p(s2)=0.10 and p(s3)=0.30 Use the expected value method to determine the optimal location.
The profit generated by each table is $40, by each chair is $30, and by each bookcase is $35. The company wishes to get the maximum profit possible, and a linear program is to be developed for this purpose.
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