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miv72 [106K]
3 years ago
5

13 is at least the difference of a number v and 1

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

v - 1 ≥ 13


good luck!!

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The weekly sales of Honolulu Red Oranges is given by q = 896 − 20p.(A) Calculate the price elasticity of demand when the price i
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Answer with Step-by-step explanation:

Since we have given that

q = 896-20p

p = $32

.(A) Calculate the price elasticity of demand

As we know that

e=-\dfrac{dq}{dp}\times \dfrac{p}{q}\\\\e=-(-20)\times \dfrac{32}{896-20p}\\\\e=\dfrac{20\times 32}{896-20p}\\\\e=\dfrac{640}{896-20p}\\\\e=\dfrac{640}{896-640}\\\\e=\dfrac{640}{256}=2.5

(B) The demand is going down with increase in 15 increase in price at that price level, as we know that there is inverse relationship between price and quantity demanded.

(C)  Also, calculate the price that gives a maximum weekly revenue.

R=pq\\\\R=p(896-20p)\\\\R=896p-20p^2

We first find the first derivative:

R'(p)=896-400p

So, it becomes,

896-40p=0\\\\40p=896\\\\p=\dfrac{896}{40}=\$22.4

R=-40<0, so, it will give maximum revenue.

(D) Find this maximum revenue.

Maximum revenue would be R=pq\\\\R=22.4(896-20\times 22.4)\\\\R=\$10035.2

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Step-by-step explanation:

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Step-by-step explanation:

We need to evaluate the following expression for x = 0.2 and y = 3.4 :

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x(y² - 4) = (0.2)((3.4)² - 4)

= (0.2)((3.4)² - 4)

= 0.2×7.56

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