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nexus9112 [7]
3 years ago
12

Suppose the supply and demand for a certain textbook are given by ​supply: p equals one fourth q squared comma ​demand: p equals

negative one fourth q squared plus 30 comma where p is the price and q is the quantity. Find the demand quantity and the supply quantity at a price of ​$15.
Business
2 answers:
Llana [10]3 years ago
6 0

Answer:

the demand quantity and the supply quantity at a price of ​$15 is 8 units

Explanation:

Supply, P = 1/4 Q²

Demand, P = - 1/4 Q²+30

If P = 15

Quantity Demanded will be 15 = -0.25Q²+30;

if we move 30 across the equality sign.

Therefore -0.25Q²=-15; divide both sides by -0.25;

Q² = 60, Q = 7.746, approximately 8 units

Quantity Supplied will be 15 =  1/4 Q², dividing both sides by 1/4

Q² = 60, Q = 7.746, approximately 8.

vovikov84 [41]3 years ago
5 0

Answer:

The number of books that are demanded at a price of $15 is 8

The number of books supplied at a price of $15 is 8

Explanation:

Given the supply and demand function of the textbook, p = 1/4 q2, and p = - 1/4 q2 + 30 respectively, where p and q is the price and quantity respectively,  

The quantity supplied at the price of $15 would be:

p = 1/4 q2

p = ¼ × q2

p = q2/4

15 = q2/4

15 × 4 = q2

60 = q2

q = 7.75 ≈ 8 (square root of 60)

The quantity demanded at the price of $15 would be:

p = - 1/4 q2 + 30

p = - q2/4 + 30

p – 30 = - q2/4

(p – 30) (4) = - q2

(15 – 30) (4) = - q2

( – 15) (4) = - q2

– 60 = – q2

60 = q2

q = 7.75 ≈ 8 (square root of 60)

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<h3>What is a Pie Chart?</h3>

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Will the financial statements of a company always differ when different choices at the start of the accounting period are made r
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To reduce the use and set free of lead some efforts are needed to continue to reduce occupational and exposures , specially for children and women of child- bearing age . Interventions include get riding of unimportant uses of lead such as in paint, ensuring the safe recycling of waste that is lead containing , for that we should educate the people about the importance of computers and of safe disposal of lead acid batteries and monitoring of blood lead levels in children , workers and women of childbearing age .

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3 0
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geniusboy [140]

The percentage increase in the total sales for 2006 is 15% while the increase in sales of the trench coats is 23.3%; therefore the percentage increase in total sales of trench coats is 8.3% faster.

Computation:

1. The total amount of sales for 2006 and 2007:

\begin{aligned}\text{Sales of 2006}&=103+297+210+213+137\\&=960\end{aligned}

\begin{aligned}\text{Sales of 2007}&=127+223+210+285+259\\&=1104\end{aligned}

2. Now, the percentage increase will be determined for the total number of coats and trench coats:

For the total number of coats, the values used will be the total sales of 2006, and total sales of 2007.

\begin{aligned}\text{Percentage Increase}&=\dfrac{\text{Sales of 2007}-\text{Sales of 2006}}{\text{Sales of 2006}}\times100\\&=\dfrac{1104-960}{960}\times100\\&=15\%\end{aligned}

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\begin{aligned}\text{Percentage Increase in Sale of Trench Coat}&=\dfrac{\text{Sales of 2007}-\text{Sales of 2006}}{\text{Sales of 2006}}\times100\\&=\dfrac{127-103}{103}\times100\\&=23.33\%\end{aligned}

3. Now, the  net percentage increase in sales due to the trench coats is computed as follows:

\begin{aligned}\text{Net Percentage Change}&=\text{\text{Percentage Increase in Trench Coat}-\text{Percentage Increase}}\\&=23.33\%-15\%\\&=8.3\%\end{aligned}

Therefore, the correct option is option B. Sales of trench coats increased 8. 3 percentage points faster than total coat sales.

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