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Kryger [21]
3 years ago
6

PLS HELP (40 POINTS!!)

Mathematics
2 answers:
attashe74 [19]3 years ago
7 0

Okay!

(◍•ᴗ•◍)

⇒first, add all the marks 6+7+8+9+10

⇒the answer will be 40 then there is

⇒5 numbers which were 6+7+8+9+10 the numbers that we were trying to add

⇒so divide 40÷5 is 8

⇒ the mean is 8

ФωФ

sineoko [7]3 years ago
5 0

Answer:

<u>Number of students:</u>

  • 5 + 4 + 7 + 10 + 4 = 30

<u>Total of marks:</u>

  • 5*6 + 4*7 + 7*8 + 10*9 + 4*10 = 244

<u>Mean mark:</u>

  • 244/30 = 8.1333 ≈ 8
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A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x​, where q is the q
Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

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Thus, elasticity expression is:

\frac{x D'(x)}{D'(x)}

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= \frac{17x}{943 - 17x}

Elasticity expression = E(x) = \frac{17x}{943 - 17x}

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E(x) = \frac{17x}{943 - 17x}

1 = \frac{17x}{943 - 17x}

Cross multiply:

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17x + 17x = 943

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This means E(x) > 1

Therefore,

\frac{17x}{943 - 17x} > 1

\frac{17x}{943 - 17x} > 1

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17x > 943 - 17x

Collect like terms

17x + 17x > 943

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x > \frac{943}{34}

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This means E(x) < 1

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\frac{17x}{943 - 17x} < 1

\frac{17x}{943 - 17x} < 1

Cross multiply:

17x < 943 - 17x

Collect like terms

17x + 17x < 943

34x < 943

x < \frac{943}{34}

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total  revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

x = \frac{943}{17}

x = 27.74

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R (21) = (943 * 21) - (17 * 21²)

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R(27.74) = (943 * 27.74) - (17 - 27.74²)

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= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

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