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3 years ago

Find the profit-maximizing price.

Mathematics

1 answer:

ziro4ka [17]3 years ago

3 0

Answer: $\$11.5$

Step-by-step explanation:

Given

Demand function is $p=22-2q$

The average cost function is $c=2+q$

Total revenue is the product of demand and the price per unit.

$r=\left(22-2q\right)q$

Profit is given by the difference of the total revenue and the cost

$\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2$

Find the derivative of profit to get the maximum profit

$\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}$

Put q in the equation of demand to get the price

$\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5$

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Answer:

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Step-by-step explanation:

Given the 2 equations

y = - x² + 2x + 7 → (1)

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- 2x + 2 = - x² + 2x + 7 ← subtract - x² + 2x + 7 from both sides

x² - 4x - 5 = 0 ← in standard form

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Equate each factor to zero and solve for x

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

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Katarina wrote the standard form of a linear equation as 4x – 2/3 y = 8. Sofiya told her that the equation was not yet in standa

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The standard form of a linear equation in general is given by:

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In order to convert this into standard equation, we have to eliminate the 3 in the second term on the left side of equation.

Here 3 is in division ,so we have to perform opposite operation of division that is multiplication.

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So that means option A.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.

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3 years ago

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Identify the rule for the pattern below which is 5,10,8,13,11,16,14,19,17,22

Andreyy89

Answer:

Step-by-step explanation:

for odd terms

first term=5

c.d.=8-5=3

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3 years ago