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A stock is worth 100 today. There are no interest rates. It will be worth one of 85, 95, 105 and 115 tomorrow. Give optimal no-arbitrage bounds on a call option struck at 100. If the call option struck at 100 is worth 5, give optimal no-arbitrage bounds on a call option struck at 110.
Compute the optimal order quantity, the total minimum inventory cost, and the reorder point.
Your iron works has contracted to design and build a 500-cubic foot, square based, open topped, rectangular steel holding tank for a paper company.
Solve the following system of four equations using Gauss Elimination:
The cost per unit produced at a certain facility is represented by the function UC = 2x^2 - 10x + 50, where x is in thousands of units produced. For what value of x would unit cost be minimized (other than zero)? What is the minimum cost at this v..
A plastic sphere floats in water with 50.0 percent of its volume submerged. This same sphere floats in glycerin with 40.0 percent of its volume submerged. Determine the densities of the glycerin and the sphere.
The LHD governing council requires you to develop a report based on the ‘UTS Hospital' data to address issues related to Outlier Admissions patients with a length of stay over 30 days.
Describe and illustrate graphically the special cases that can occur in a linear programming solution. What clues for these cases does the simplex procedure supply?
An automorphism of a group G is an isomorphism from G to itself. A subgroup H of G is called characteristic, denoted Hchar G, if every automorphism of G maps H to itself (that is, φ(H) = H for all automorphisms φ of G). Prove that characteristic s..
Suppose that in the four player game, the person who rolls the smallest number pays $5.00 to the person who rolls the largest number. Calculate each player's expected gain after one round.
Determine the best mix of crops to maximize their revenue. The farmers also have the opportunity to buy a 78-acre farm adjacent to their land. They would like to narrow their selection of crops to corn, strawberries, or a combination of the two.
A company is planning its advertising strategy for next year for its three major products. Since the three products are quite different, each advertising effort will focus on a single product.
What is the independent variable in this study? What are the dependent variables?
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