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Until recently, hamburgers at the city sports arena cost$ 2.21 $ 2.21 each. The food concessionaire sold an average of2691 2691 hamburgers on game night.

Until recently, hamburgers at the city sports arena cost$

2.21

$

2.21

each. The food concessionaire sold an average of2691

2691

hamburgers on game night. When the price was raised to$

3.45

$

3.45

, hamburger sales dropped off to an average of1520

1520

per night. The concessionaire's fixed costs were$

4936.51

$

4936.51

per night and the variable cost was$

0.85

$

0.85

per hamburger.

A) Assume that the relationship between pricep

p

and demandx

x

is linear. Find the price-demand function,p

(

x

)

p

(

x

)

.

p

=

p

(

x

)

=

p

=

p

(

x

)

=

(Round all values to three decimal places as needed.)

B) Find the revenue functionR

(

x

)

R

(

x

)

.

R

(

x

)

=

R

(

x

)

=

C) Assume that the cost function is linear. Find the cost function,C

(

x

)

C

(

x

)

.

C

(

x

)

=

C

(

x

)

=

D) The food concessionaire will break even if they make and sellorhamburgers.

(List your answers in ascending order. Round all values to the nearest whole number.)

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