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a chair manufacturer makes three different types of chairs each of which must go through sanding, staining and varnishing. In addition the model with the vinyl-covered back and seat must go through an upholstering process. the attached table gives the time required for each operation on each type of chair, the available time for each operation in hours per month and the profit per chairfor each model. how many chairs of each type should be made to maximize the profit. need to formulate as an integer programming problem.
A motorboat can maintain a constant speed of 43 miles per hour relatuve to the water. The boat makes a trip upstream to a certain point in 52 minures; the return trip takes 34 minutes. What is the speed of the current?
In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?
An electric clothes dryer uses 4,800 W of energy. The dryer is used for 24 hours one month. At a cost of 9.3 cents per kilowatt hour, how much does it cost to use the dryer for that month?
Jason and Debbie leave city A at 2:00 P.M. and drive at a constant speed, traveling west on I-90. They pass city B, 70 mi from city A, at 2:50 P.M.
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
Augmented matrices to solve the word problem
If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.
Points A and B move along the x- and y-axes, respectively, in such a way that the perpendicular distance r from the origin to AB remains constant. How fast is OA changing, and is it increasing or decreasing, when OB=2r and B is moving toward O at ..
A transportation engineering study requires that you determine the number of cars that pass through an intersection traveling during morning rush hour. You stand at the side of the road and count the number of cars that pass every 4 minutes at sev..
If a system of m linear equations in four unknowns has a unique solution, then m must be greater than or equal to four. If a system of m linear equations in four unknowns has no solutions, then m must be greater than or equal to four.
Discuss a real-life situation where a straight-line graph might be applicable and explain why you think this might be true (show the equation).
Find the radius of convergence and the interval of convergence of this taylor series.
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