Answer:
equilibrium quantity = 7
equilibrium price = 107
Explanation:
Data provided in the question:
supply function, p = q² + 6q + 16 ........(1)
demand function is p = −7q² + 2q + 436
Now at equilibrium
Demand = Supply
Thus,
q² + 6q + 16 = −7q² + 2q + 436
or
q² + 6q + 16 + 7q² - 2q - 436 = 0
or
8q² + 4q - 420 = 0
or
2q² + q - 105 = 0
on solving for the roots of q
using the Quadratic Formula where
a = 2, b = 1, and c = -105
![[ x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }]](https://tex.z-dn.net/?f=%5B%20x%20%3D%20%5Cfrac%7B%20-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B%202a%20%7D%5D)
a = 2, b = 1, and c = -105
Thus,
![[ q = \frac{ -1 \pm \sqrt{1^2 - 4(2)(-105)}}{ 2(2) }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%20%5Cfrac%7B%20-1%20%5Cpm%20%5Csqrt%7B1%5E2%20-%204%282%29%28-105%29%7D%7D%7B%202%282%29%20%7D%5D)
![[ q = \frac{ -1 \pm \sqrt{1 - -840}}{ 4 }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%20%5Cfrac%7B%20-1%20%5Cpm%20%5Csqrt%7B1%20-%20-840%7D%7D%7B%204%20%7D%5D)
![[ q = \frac{ -1 \pm \sqrt{841}}{ 4 }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%20%5Cfrac%7B%20-1%20%5Cpm%20%5Csqrt%7B841%7D%7D%7B%204%20%7D%5D)
The discriminant ( b² - 4ac > 0)
so, there are two real roots.
Therefore,
![q = [\frac{ -1 \pm 29}{ 4 }]](https://tex.z-dn.net/?f=q%20%3D%20%5B%5Cfrac%7B%20-1%20%5Cpm%2029%7D%7B%204%20%7D%5D)
![[ q = \frac{ 28 }{ 4 } \; \; \; q = -\frac{ 30 }{ 4 }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%20%5Cfrac%7B%2028%20%7D%7B%204%20%7D%20%5C%3B%20%5C%3B%20%5C%3B%20q%20%3D%20-%5Cfrac%7B%2030%20%7D%7B%204%20%7D%5D)
![[ q = 7 \; \; \; q = -\frac{ 15}{ 2 }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%207%20%5C%3B%20%5C%3B%20%5C%3B%20q%20%3D%20-%5Cfrac%7B%2015%7D%7B%202%20%7D%5D)
since,
Quantity cannot be negative
Thus,
q = 7
therefore, substituting q in (1)
p = 7² + 6(7) + 16
or
p = 49 + 42 + 16
or
p = 107
Answer:
(a) Here the child is going through a Sensorimotor stage of cognitive development in Piaget's stages. A child basically becomes more familiar to the people whom they see and interact everyday as compared to the people whom they meet once in a while. That's the reason why they are resistant towards these people and act differently as they don't feel secure with them. It will take him time to become comfortable. To gain child's confidence and trust it is important to treat him with care and love. To ease out the situation for the child and to make child interactive to the aunt, I would make sure that child sees his parents communicating and interacting with the aunt so that he is not afraid of her.
(b) Here child as per the Erikson's theory is in the stage of Autonomy vs. Shame. In this stage, the children feel that to get Parents attention they have to behave in a certain manner. In this case, I would try to ignore her activities and would make her engage in some other activities of her interest like toys, games or videos.
(c) Infant daughter is in the first stage of development i.e Sensorimotor stage. In this stage according to Piaget newborns explore the surrounding through their senses. There is nothing to worry about this, as it is completely normal. In this case what I can do is to avoid unwanted mouth to object interaction of the things that are injurious to her and will try to convey her that these things are not good through bad facial expressions. Also, till the time child is in this age, I will try to keep the home clean and safe as much as I could.
(d) According to Erikson's stages of development, this stage is called Industry vs. Inferiority stage. The child becomes comparatively more confident and skilled in baseball than mathematics. That's why he focuses on the activity in which he is more comfortable and capable.
In this case, I would encourage him to improve his skills. It is important at this to become friendly to the child and let him do the activities which he likes, otherwise, he will mental pressure. I will give him personal tutoring of maths and at the same to develop his interest in the subject, baseball can be used as a reward. In the meanwhile of studies, we can have an interesting conversation about baseball as well.
Answer:
a. Economic assets that are privately owned and exchanged in an open market.
Explanation:
A free enterprise is an economy where where economic factors like price, product, and services are determined by market forces and not by the government.
It is also called capitalism, economic assets are privately owned and competition is the yardstick for market success.
The opposite of this is communism where economic factors are controlled by the government.
Shelf or Taskbar. Located at the bottom of your computer
Answer:
Buyer/seller
Explanation:
In the case of lean system it focused on the customer side while on the other hand the JIT i.e. Just in time focused on the manufacturing process i.e. efficiency
So in the case of lean or JIT system the burden for ensuring the production quality from vendor shifts is from the buyer to the seller
Therefore the above represents the answer
