Answer:
The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
Step-by-step explanation:
Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.
The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.
Being:
- demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒
- the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒
Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:

Solving, you get:

50 - p= p -14
50 - p +14 = p
50 +14= p + p
64= 2*p

P=32 dollars
This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:
- demand equation:
⇒ x= 3 Thousand units
- the supply equation
⇒ x=3 Thousand units
So, <u><em>the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.</em></u>
In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.
B. 30% is the better deal
.3x12=3.6
(:
Answer:
f(7) - f(-7)
= (4 - 7^2) - ((-7)^3 - 2*(-7))
= -45 - (-329)
= 284
I believe he should add 2ft to the height of the tree as well
Option A:
The another name for ∠1 is ∠JLK.
Solution:
How to Label Angles
:
There are two main ways to label angles:
1. Give the angle name by a number or a lower case letters.
2. The second way to name the angle is indicating by the vertex.
Usually the angle is denoted by three letters.
First letter and the second letter denotes the arms of the angle and the middle of the letter denotes the angle (its vertex).
To find the another name for ∠1.
The arms of the angle are LJ and LK and the vertex is L.
So, the name of the angle is ∠JLK.
Middle letter is the actual angle.
Therefore the another name for ∠1 is ∠JLK.
Option A is the correct answer.