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2 years ago

3. George is at the craft show selling homemade ice cream. He must pay

Mathematics

1 answer:

elena-s [515]2 years ago

4 0

Answer:

no 146.5 > 145

Step-by-step explanation:

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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

bonufazy [111]

Answer:

a) The demand function is

$q(p) = -4 p + 107$

b) The nightly revenue is

$R(p) = -4 p^2 + 107 p$

c) The profit function is

$P(p) = -4 p^2 + 133.75 p - 939$

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

$s = \frac{79-43}{7-16} = \frac{36}{-9} = -4$

Since the demand takes the value 79 in 7, then

$q(p) = -4 (p-7) + 79 = -4 p + 107$

b) The nightly revenue can be found by multiplying q by p

$R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p$

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

$P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939$

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

$r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41$

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0

3 years ago

Yaritza is going to see a movie and is taking her 4 kids. Each movie ticket costs $13 and there are an assortment of snacks avai

anzhelika [568]

Answer:

Yaritza will have to pay $83.50 dollars to go to the movies.

It will cost $31.50 for 7 snacks for her family to share.

Step-by-step explanation:

6 0

3 years ago

Evaluate -a - 12a^2 for a = -1 a. -13 b. 13 c.-11

Gelneren [198K]

substitute a = - 1 into the expression

- (- 1) - 12(- 1)² = 1 - (12 × 1 ) = 1 - 12 = - 11 → C

8 0

3 years ago

Read 2 more answers

33 POINTS HELP ME FAST ILL MARK BRAINLIEST Henry wants to laminate the tabletop in his study room. The tabletop is the shape of

mario62 [17]

Find the area of trapezoid.

1/2(6+10)(3) = 24

Now multiply 24 by $4 to find the total cost.

24 * 4 = 96

So the total cost is $96

Hope this helps :)

3 0

3 years ago

78+22=22+78 (16+4)+11=(11+4)+16 (12+8)+9=(9+8)+12

Ksju [112]

344444444444444444444444

4 0

3 years ago