Answer: The equilibrium point is where; Quantity supplied = 100 and Quantity demanded = 100
Step-by-step explanation: The equilibrium point on a demand and supply graph is the point at which demand equals supply. Better put, it is the point where the demand curve intersects the supply curve.
The supply function is given as
S(q) = (q + 6)^2
The demand function is given as
D(q) = 1000/(q + 6)
The equilibrium point therefore would be derived as
(q + 6)^2 = 1000/(q + 6)
Cross multiply and you have
(q + 6)^2 x (q + 6) = 1000
(q + 6 )^3 = 1000
Add the cube root sign to both sides of the equation
q + 6 = 10
Subtract 6 from both sides of the equation
q = 4
Therefore when q = 4, supply would be
S(q) = (4 + 6)^2
S(q) = 10^2
S(q) = 100
Also when q = 4, demand would be
D(q) = 1000/(4 + 6)
D(q) = 1000/10
D(q) = 100
Hence at the point of equilibrium the quantity demanded and quantity supplied would be 100 units.
A bc it makes the most sence
Answer:
36
Step-by-step explanation:
Take 504 ounces of that lemonade and divide that into 14 cups.
And you get 36 ounces for each cup.
In the standardized calculations used in the United States, c is given by the formula<span>: For example, for a home loan of $200,000 with a fixed yearly interest rate of 6.5% for 30 years, the principal is , the </span>monthly<span> interest rate is , the number of </span>monthly payments<span> is , the fixed </span>monthly payment<span> equals $1,264.14.</span>
Answer:
A) (3, 12)
Step-by-step explanation:
For such a problem, I like to use a graphing calculator. It shows the answer quickly without a lot of fuss.
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If you want to solve this analytically, set the difference in y-values equal to zero and solve the resulting quadratic in the usual way. This will give the x-value at which the y-values are equal. (After we find x, we still need to find y.)
... y - y = 0
... x² -2x +9 -4x = 0
... x² -6x +9 = 0 . . . . . . collect terms. Recognize this as a perfect square.
... (x -3)² = 0
... x = 3 is the solution to this
... y = 4x = 4·3 = 12
The point on each of the given curves is (x, y) = (3, 12). The line is tangent to the parabola there, so there is only one point of intersection.
