Consumers' SurplusThe demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollarsand x is the quantity demanded each week, measured in units of a thousand.p =-0.01x20.1x + 48Determine the consumers' surplus if the market price is set at $6/cartridge. (Round your answer to two decimal places.)

Answered: Image /qna-images/answer/04d1d29b-c8bb-4eb0-a6f7-dd5d9e7d974a.jpg

Answered: Consumer's Surplus The demand function…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A drug taken orally is absorbed into the bloodstream at the rate of te-0.5t milligrams per hour, where t is the number of hours since the drug was taken. Find the total amount of the drug absorbed (in mg) during the first 7 hours. (Round your answers to two decimal places.) mg absorbed amount absorption rate t Hours (a) Solve without using a graphing calculator. mg (b) Verify your answer to part (a) using a graphing calculator. mg
After taking a certain antibiotic, the amount of amoxicillin A(), in milligrams, remaining in the patient's system t hr after taking 1,000 mg of amoxicillin is A(t) = 1,000e-0.49t How much amoxicillin is in the patient's system 3 hr after taking the medication? Round to the nearest tenth of a mg.
WP1: One end of a Bungee is tied to a bridge that is 120 feet above water. The other end of the Bungee is tied via padded ankle straps to a jumper's ankle. The jumper jumps and the Bungee cord extends like a rubber band and the jumper bounces up and down until coming to a halt. The Bungee cord elongation 150% of its length, meaning that the Bungee cord extended length Will be its original length plus 1.5 times of its original length. Knowing that that the jumper's height is not more 7 feet, what should the original length of the Bungee cord be to assure that the jumper under any condition stays at least 10 feet above water? Solution: Let consider the following bridge of 120 height above water.
The population of a small island is growing at a rate that is proportional to its size. In 2016, the island's population is 1400, and in 2020, the island's population is 1600. What will the island's population be in 2030? O = 2234 There is not enough information to answer this. O = 2553 O = 1955
Q15
Super Bowl Ads A minute ad during Super BowlVII in 1973 cost $200,000. The price tag for a30-second ad slot during the 2011 Super Bowlwas $3 million. The cost of a 30-second slot ofadvertising for the Super Bowl can be modeled byy = 0.0000966(1.101x ), where x is the number ofyears after 1900 and y is the cost in millions.a. According to the model, what was the cost of a30-second Super Bowl ad in 2000?b. The cost of a 30-second ad during Super Bowl XLIXin 2015 was $4.5 million. Does the model underestimate or overestimate the cost of these ads?

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