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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.
Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing. What would be the difficulties associated with modeling this situation?
Find the demand function , where is the number of the television sets sold per week, assuming that is linear.
Differential equation for the elastic curve of the beam and determine the equation for the slope of the beam.
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
The victims of a certain disease being treated at Wake Medical Center
If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
You are analyzing flow in channel that has a ratio of exit area to inlet area of 5.0 (as shown in the figure below: Ae = 5.0Ai). The flow enters the channel at M=2.8, p = 130. kPa, and T=320K. Createa plot that shows the back pressure necessary to ha..
Write this problem as an initial value problem for a system of first order differential equations - use the 2-step Adams-Bashforth method and then the 2-step Adams-Moulton formula as a corrector
chocolate bars produced by a certain machine are labeled with 8.0 oz. the distribution of the actual weights of these
A salesperson claims that, at 10% p.a. depreciation, a car will lose half its value after 7 years. Is the salesperson correct? please show working
According to Kinetic theory, the molecules of ordinary matter are in constant random motion. Compute the mean kinetic energy in terms of K and T.
The grades of 22 students are listed below. Use the stem & leaf to determine the shape of the distribution.
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