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BigorU [14]
3 years ago
7

A toddler takes off running down the sidewalk at 270 ft/min. One minute later, a worried mother runs after the child at 580 ft/m

in. After how many minutes will the mother overtake the toddler?
Mathematics
1 answer:
Naily [24]3 years ago
7 0
We know that in one minute the toddler is 2(270)=540 feet and mother is 580 so less than 1 minute
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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
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Solution :

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In order to maximize the revenue, set

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$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

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So, x ≈  $ 1.70      and    y = $ 1.99

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Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

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