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The demand function for a certain make of ink-jet cartridge is the following where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand.
Compute the elasticity of demand when x = 10. (Round your answer to two decimal places.)
A rectangular box without a lid is to be made from( 12 m^2 ) of cardboard. Compute the maximum volume of such a box using a method of Lagrange Multipliers.
If, in a special right triangle the sides are denoted by "a, b, c" and the angles are denoted by "A, B, C" If I knew only C was 90 degrees, that a was 6 units long and b was 13 units long. How would I be able to find the degrees of Angle A and B?
A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
A full m-ary tree has 81 leaves and height 4. (a) Give upper and lower bounds for m. (b) If the tree is also balanced, what is the value of m?
Calculate the work done in moving the object from x = 1 ft to x = 12 ft. (round your answer to two decimal places).
A true-false examination has 48 questions. June has probability 3/4 of answering a question correctly. April just guesses on each question. A passing score is 30 or more correct answers. Compare the probability that June passes the exam with the p..
Given that a widget was produced by the new machine, what is the probability it is not defective?
There are 410 feet of fencing available for the other three sides of the enclosure. Find the dimensions of the outdoor enclosure with the most area.
A bank loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 40. If 36 different applicants are randomly selected, calculate the probability that their mean above 208.
A bacteria population starts with 400 bacteria and grows at a rate of r(t) bacteria per hour. How many bacteria n will there be after three hours? (Give your answer to the nearest bacterium.) r(t) = 450.266 e^(1.12567 t)
At an interest rate of 12%, the six-year discount factor is .507. How many dollars is $.507 worth in six years if invested at 12%?
A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only aord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?
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