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3 years ago

11

a movie theater sells ticket for 16 each. the theater also sell beverages for 3. the theater needs to make 1900 in all oreder to

break even on the film use t for the number of tickets sold and b fot the number of beverages sold

1 answer:

lesya692 [45]3 years ago

6 0

Answer:

let t be tickets and b be beverages

Step-by-step explanation:

16t + 3b = 1900

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Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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substitute

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Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

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the width is negative (W=2-2x)

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The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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marshall27 [118]

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Rudik [331]

Answer:

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