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A baseball team plays in a stadium that holds 60,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000.
(a) Find a function that models the revenue in terms of ticket price. (Let x be the ticket price and R(x) be the revenue.)
(b) Find the price that maximizes revenue from ticket sales.
Suppose postal requirements are that the maximum of the length plus the girth (cross sectional perimeter) of a rectangular package that may be sent is 250 inches. Find the dimensions of the package with square ends whose volume is to be maximum.
Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those who fail on the first try, 54% pass on the second try; and, of those remaining, 48% ..
A person who is 6 foot tall walks away from a 40 foot tree towards the tip of the tree's shadow. At a distance of 10 feet from the tree the persons shadow begins to emerge beyond the tree's shadow.
A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current.
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
Alex is making a rectangular garden and wants a fence around it. He wants the length of the garden to be 3 feet longer than the width. 150 feet of fence is all he can afford. What is the greatest possible width he can have for his garden?
Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
At the same time, it is expected that 20% of those now using public transportation will commute via automobile, and 80% will continue to use public transportation. In the long run, what percentage of the commuters will be using public transportati..
A 62 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 31 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the..
differentiate implicitly with resepect to x, obtain an expression for dy/dx, x^3y^3(1-3logx)=1
Find the area of the "triangular" region in the first quadrant bounded on the left by the y-axis and on the right by the curves y
Determine the width of a river that flows due east, if the surveyor finds that a tree on the opposite bank had a bearing of 22 30 E from a certain point and bearing N 15 W from a point 400 feet downstream.
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