Question

Find equilibrem for price and quantity P=300-1Qd P=100+Qs Income =180

64

likes
320 views

Answer to a math question Find equilibrem for price and quantity P=300-1Qd P=100+Qs Income =180

Expert avatar
Madelyn
4.7
86 Answers
To find the equilibrium price and quantity, we need to equate the quantity demanded (Qd) to the quantity supplied (Qs).

Given:
1. P = 300 - 1Qd
2. P = 100 + Qs
3. Income = $180

Since at equilibrium Qd = Qs, we can set 300 - 1Qd = 100 + Qs and solve for Q:
300 - 1Qd = 100 + Qs
300 - 1Qd = 100 + Qd
200 = 2Qd
Qd = 100

Now that we have found Qd, we can substitute this back into either of the equations to find the equilibrium price:

Using the first equation:
P = 300 - 1(100)
P = 300 - 100
P = 200

Therefore, the equilibrium price is $200 and the equilibrium quantity is 100.

\boxed{\text{Answer: } P = 200, Q = 100}

Frequently asked questions (FAQs)
Math question: Convert the number 2.35 x 10^6 to standard notation.
+
What is the angle between two diagonals of a regular hexagon?
+
Question: "Find the cube root of a number x such that the range of the cube root function is within [1, 5].
+
New questions in Mathematics
Y=-x^2-8x-15 X=-7
A car tire can rotate at a frequency of 3000 revolutions per minute. Given that a typical tire radius is 0.5 m, what is the centripetal acceleration of the tire?
-8+3/5
Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.
If L (-2, -5) reflected across y = -4. What are the coordinates of L?
A, B, C and D are numbers; If ABCD = 23, What is the result of ABCD BCDA CDAB DABC operation?
What’s 20% of 125?
A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)
is the x element (180,270), if tanx-3cotx=2, sinx ?
If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?
prove that if n odd integer then n^2+5 is even
There are four times as many roses as tulips in Claire’s garden. Claire picked half of the number of roses and 140 roses were left in the garden. How many roses and tulips were in the Garden the first?
Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%
A company receives sales in $20 per book and $18 per calculator. The per unit cost to manufacture each book and calculator are $5 and 4$ respectively. The monthly (30 day) cost must not exceed $27000 per month. If the manufacturing equipment used by the company takes five minutes to produce a book and 15 minutes to produce a calculator, how many books and calculators should the company produce to maximise profit? Please solve graphically and
Derivative of 2x
X^3 - x^2 - 4 = 0, what are the values of x?
y′ = 2x + 3y x′ = 7x − 4y x(0) = 2 y(0) = −1 sisteminin ¸c¨oz¨um¨un¨u bulunuz. (Lineer Denk. Sis.)
Identify the slope and y intercept y=11+2/3x
For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.
calculate the product of 4 and 1/8