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A library must build shelving to shelve 200 4-inch high books, 100 8-inch high books, and 80 12-inch high books. Each book is 0.5 inch thick. The library has several ways to store the books. For example, an 8-inch high shelf may be built to store all books of height less than or equal to 8 inches, and a 12-inch high shelf may be built for the 12-inch books. Alternatively, a 12-inch high shelf might be built to store all books. The library believes it costs $2,300 to build a shelf and that a cost of $5 per square inch is incurred for book storage. (Assume that the area required to store a book is given by height of storage area times book's thickness.) Formulate and solve a shortest-path problem that could be used to help the library determine how to shelve the books at minimum cost.
a risk averse person with a von-neumann-morgenstern utility index of u 1ny has a 20 chance that a disaster will reduce
Strontium 90 is a radioactive material that decays according to the function A(t)=Ae^(-.0244t), where A is the initial amount present and A is the amount present at time t (years). What is the half-life of strontium 90? The answer is 28.4 years. H..
P-E-M-D-A-S are mnenomic devices for what? What do the underlines in P-E-M-D-A-S REMIND US TO DO? why is it important to be able to remove parentheses?
Combine from JPE, Fall 90 and Spring 97) Let A ∈ C^(n X n) be a normal matrix. Prove that A - M is normal for any λ ∈ C. Prove that ||Ax||2 - ||∧*x||2 for all x ∈ C^n
If a ball is thrown directly upward with a velocity of 48 ft/s, its height (in feet) after t seconds is given by y = 48t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
a prize drum holds 7 red balls 12 green balls 18 yellow balls and 13 orange balls. what is the probablity of drawing 2
What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each.
Matt scored 8 more points than Ted in the basketball game, and their scores together made up a quarter of the team's total scoring, which was 112. Which equation represents this scenario?
write the equation of a rational function with intercepts-20 3000 vertical asymtotes x 1 and no horizontal asymptote
A group of ducks and cows are in a field. They have a total of 65 heads and 226 legs. How many ducks are in the field?
Given lim as x approaches 0- f(x) = Ll , lim as x approaches 0+ f(x) = Lr , and Ll ≠ Lr, which of the following statements is true?
Studies conducted by the manufacturer of Boston and Vermont asphalt shingles have shown product weight to be a major factor in the customer's perception of quality.
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