Math 211 Business Calculus Applications of Derivatives

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$Math 229 Summation Worksheet$

$Math 211 Business Calculus - Department of Mathematical Sciences ...$

$Math 230 Practice Exam 1 Solutions$

$Math 210 Lecture Notes - Department of Mathematical Sciences ...$

– p. 16/34 Maximize Revenue If the price for a product is p, the revenue (in thousands <strong>of</strong> dollars) is approximated by R = −0.05p 2 +0.98p+18 What price maximizes revenue Solution: R ′ (p) = −0.1p+0.98 = 0 ⇐⇒ 0.1p = 0.98
– p. 16/34 Maximize Revenue If the price for a product is p, the revenue (in thousands <strong>of</strong> dollars) is approximated by R = −0.05p 2 +0.98p+18 What price maximizes revenue Solution: R ′ (p) = −0.1p+0.98 = 0 ⇐⇒ 0.1p = 0.98 ⇐⇒ p = 9.8
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- p. 1/34 Math 211 Business Calculu
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- p. 2/34 Asymptotes A nonvertical
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- p. 3/34 Example Lety = f(x) = x+
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Example Lety = f(x) = x+ 1 x f ′
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- p. 4/34 Graph of x+1/x ♣ (1,2)
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Graph of x+1/x 1 lim x→0 + x =
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- p. 4/34 Graph of x+1/x 1 lim x→
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- p. 4/34 Graph of x+1/x 1 lim x→
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- p. 5/34 Vertical Asymptotes To fi
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- p. 6/34 Horizontal Asymptotes To
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Horizontal Asymptotes To find horiz
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Horizontal Asymptotes To find horiz
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- p. 7/34 Computing Limits When fin
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- p. 8/34 Example 1. Compute the li
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Example 1. Compute the limit x 2 +8
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- p. 8/34 Example 1. Compute the li
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- p. 9/34 Second example This limit
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Second example This limit may end u
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- p. 9/34 Second example This limit
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- p. 10/34 Graphs with asymptotes S
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- p. 20/34 Maximize Profit As a gen
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- p. 21/34 Maximize Profit Example
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What level of sales maximizes profi
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- p. 22/34 Ticket Sales Problem •
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- p. 23/34 Ticket Sales Setup Letx=
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- p. 24/34 Ticket Sales Solution R(
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- p. 25/34 Dog Kennel Problem The o
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- p. 26/34 Dog Kennel Setup Letx=le
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- p. 27/34 Dog Kennel Solution Solv
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- p. 28/34 Another Fencing Problem
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Another Fencing Problem The owner o
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- p. 29/34 Fencing Problem Setup Le
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- p. 30/34 Fence Solution Solve xy
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Fence Solution Solve xy = 810 fory:
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- p. 31/34 Limit Def Revisited Reca
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- p. 32/34 Marginal Revenue, Profit
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- p. 33/34 Marginal Example Flying
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- p. 34/34 Marginal Example Continu
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Math 211 Business Calculus Applications of Derivatives

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