blems 9 and 10, consider that when and then putting a f is to contain 1200 sc am
ID: 2889590 • Letter: B
Question
blems 9 and 10, consider that when and then putting a f is to contain 1200 sc amount of fence ne the fence across the For tiostered, reaction (measured in change icine esre or temperature) can be modeled b c mn 16. Minimum fence T must contain at lea of the kennel is use yard with 900 squa the least amount o isa positive constant and m is the amou absorbed into the blood (Source: R. M. dicine come Mathematical Models in Biology, U.S. 17. Minimum cost A t of Commerce, 1967). amount of medicine that is being absorbed blood when the reaction is maximum. of change of reaction R with respect to the of medicine m is defined to be the sensitivity. Thrall et al, along a river is to needed along the the river costs $20 sides costs $5 per square feet, what a The rate (a) Find the sensitivity, S b) Find the amount of medicine that is being 18. Minimum cost F to fence a rectang identical rectang middle. Suppose ary costs $5 per f $2 per foot. If ea the dimensions for the fence. absorbed into the blood when the sensitivity is um. l. Advertising and sales An inferior product with a large advertising budget sells well when it is introduced, but sales fall as people discontinue use of the product. Sup- pose that the weekly sales S are given by 19. Optimization at S-300t , t20 (t 1)2 be enclosed and where S is in millions of dollars and t is in weeks. After how many weeks will sales be maximized? Revenue A newly released film has its weekly revenue $800 to spend fo fence costs $10 dividers cost $2 the dimensions (The answer co given 20. Minimum cost 50t where R is in millons of dollars and t is in weeks. d After how many weeks will the weekly revenue be ) What is the maximum weekly revenue? structed as sho the sides and $ foot for the enc What are the d the kennel that the cost?Explanation / Answer
14. p(t)=7.2t/(t2+36)+0.2
p(t)=(7.2t+0.2t2+7.2)/(t2+36)
p'(t)=-7.2(t2-36)/(t2+36)2
p'(t)=0
t2-36=0
t=6months
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