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Olin [163]
3 years ago
13

PLEASE HELP ASAP!!! Thank you!

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0
The answer is 380 cm. I first found the area of the triangles (14x10x0.5), then I multiplied that by four (because there are 4 triangles total) getting 280. Then I added the area of the base (10x10=100) to 280. Good luck my bud
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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

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

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

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

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

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

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

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

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

Cross multiply:

943 - 17x = 17x

Collect like terms

17x + 17x = 943

34x = 943

x = \frac{943}{34}

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

\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 elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

\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

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

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

= 26158.82 - 13081.63

= 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.

5 0
3 years ago
I need help with this one
Vesna [10]

Answer:

8

Step-by-step explanation:

7779.949783~7779.94978

5 0
3 years ago
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Simplify a x b x 8 please?????
Semmy [17]

Answer:

8ab

Step-by-step explanation:

8 0
2 years ago
Please help me with this
lisabon 2012 [21]

Answer:

8 times 5

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Read 2 more answers
2y+5x=4<br> please answer
marshall27 [118]

Answer:x=x=

−2

5

y+

4

5

Step-by-step explanation:

Let's solve for x.

2y+5x=4

Step 1: Add -2y to both sides.

5x+2y+−2y=4+−2y

5x=−2y+4

Step 2: Divide both sides by 5.

5x

5

=

−2y+4

5

x=

−2

5

y+

4

5

Answer:

x=

−2

5

y+

4

5

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5 0
2 years ago
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