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To produce x units of a particular commodity, a monopolist has a total cost of C(x) = 2x^2 + 3x + 5. The unit price at which the x units will be sold is p(x) = 5-2x. For what level of production is profit maximized?
Compute the inverse of matrix A below, and use this to express A as a product of elementary matrices
A market research organization has found that 40 percent of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,000 shoppers are approached, Find the probability that fewer than 500 will refuse to cooperate?
What does a saddle point or a null point mean? What kind of physical meaning could that correspond to?
a store sold plastic cups for 3.50 each and ceramic cups for 4.00. if 400 were sold for a total of 1,458 how many of each were sold. what is the dollar value of each type
Find the volume of the solid in the first octant bounded by the surfaces of z = 1 - y^2, y = 2, and x = 3.
Find a vector equation for the line through the point P = (-4, -1, 1) and parallel to the vector v = (1, 4, 3).
Determine the constraints and evaluate maximum or minimum value using Linear Programming Method - How many days should each plant operate to produce 2000 of each part and keep operating costs at a minimum?
A car is traveling at 90 km/h when the driver sees an accident 50 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup? (Give your answer correct to two decimal places.)
If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
Find the rate at which the distance bewtween the planes changes when the southbound plane is 31 km away from the airport and the westbound plane is 24 km from the airport.
Find the probability that a male resident who was newly diagnosed with AIDS in 1998 contracted it via homosexual contact. Find the probability that a female resident who was newly diagnosed with AIDS in 1998 contracted it via intravenous drug use.
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cos..
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