5

QuCSUOHSuppose the supply function for units of a product is given by S (~) 1.252" | 5I Find the producers surplus ifthe equilibrium price is SSO. 0-S54.780532...

Question

QuCSUOHSuppose the supply function for units of a product is given by S (~) 1.252" | 5I Find the producers surplus ifthe equilibrium price is SSO. 0-S54.7805326.770554.7805136.550S176.89S95.1[None of the above

QuCSUOH Suppose the supply function for units of a product is given by S (~) 1.252" | 5I Find the producers surplus ifthe equilibrium price is SSO. 0-S54.78 05326.77 0554.78 05136.55 0S176.89 S95.1[ None of the above



Answers

In each $D(x)$ is the price, in dollars per unit, that consumers are willing to pay for $x$ units of an item, and $S(x)$ is the price, in dollars per unit, that producers are willing to accept for $x$ units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. $$D(x)=8800-30 x, \quad S(x)=7000+15 x$$

Right For this particular problem of number 25 we're gonna look at supply and demand we're gonna look at when our demand function is 1600 minus 53 p. Our supply function is 320 plus 75 p. Now we're to find the equilibrium point as when these two quantities air equal. And so we're gonna take 320 plus 75 p equals our ah, our demand 1600 minus 53 p. And we're going to isolate the variable Pete to start when you do all the variable peas to one side from an ad 53 Peter, both sides simplify your equation. We get 3 20 plus 128 p equals 1600. Eliminate the constant, move it to the other side. Simplify one more time. 1280 and our last up is divide by our co efficient and so p equals tense. Now we're not done yet because we need take our price of $10 plug it back into one of our functions and find the quantity. And so our quantity is going to be. I'm going to use the supply functions. I'm gonna say supply supply of 10 is 320 plus 75 times tense Going to simplify. Get 3 20 plus 750. Simplify one more time mushi a 1070. Your final answer is $10 and 1000 70 items.

In problem seven. We have the demon function on the supply function for the same number of minutes x for the demand function. It starts at 10 thousands at 1000 and goes something like that. This is the month and the supply starts at 250 and goes something like that and this supply function, the point at which they intersect. It's the equilibrium point for body. We want to get the Caribbean Point. They have the same X value and the same way value. Why is in dollars for the unit price? To give the criminal point, we quit the two functions and solve the equation. We have 1000. My understand X equals 250 plus five X. We can add 10 X for both sides or equals. Then this means we have 10,000 equals 250 plus 15 x. We subtract 250 from both sides. We have 750 equals 15 x, which means X equals 50. There could have been point at 50 units to get the only price we substitute in supply or the main function. We have 250 plus five multiplied by 50 equals $500. This means the Caribbean Point is at 50 minutes and 500 dollars for about three. We want to calculate the consumer surplus, which is area under the domain. The demand until the Caribbean point this area, you can calculate it either by integration all boy geometry. Consumer surplus equals the area off this triangle, which is half by this. We have this point 50 and we have the y. Coordinate of this point is 500 the equilibrium point half by based bye. Hi, How it is 1000 minus 500 equals off my baseball. It equals 12 thousands on $500. This is the consumer surplus for the supply or the producer surplus. It equals the area on above the supply. Until the club Rambo in this area, this triangle equals the area of this triangle equals half by base. By height, 500 minus 250 which is the Y intercept 250 is are interested equals six thousands and 20 $150. This is the final answer, Farsi and this final answer Bharti

In problem one. We have the the main function for the consumer and the supply function for the producers. We want to get their clever and point. This is the main function and this is the supply function and the Intersect is the equilibrium point. To get the Caribbean point for body, we quit the domain and the supply because they have the same Why X while you value. If you're his ex, it is white. They have the same boy minus five, divided by six x plus nine equals the supply which is half X plus one. Then the equilibrium point Multiply both sides. By six we have minus five x plus six, multiplied by 9. 40 54 equals three x plus six multiplied by on is one six. We add five x to both sides. Then we have 54 equals it X plus six. We subtract six from both sides. Then we have eight. X equals it X equals 48. This means X equals then X equals six. They intersect at X equals six And what is the Y value? No, I value or the place we can substitute in either the X or yes, of X d of X or the face of X by substituting in h of X, we can get while you very equals half. Multiply it by six plus one equals the three plus one equals four. This means the equilibrium point is it six and four and this is the final answer of party for bar TV. We want to calculate the consumer surplus, which is this area the area under the consumers of the consumer supplied or the domain. The area under the domain. The OPEC's the area under the consumer equation. Until the Caribbean point to get this area we first, then consumer surplus equals the area under the curve. We can calculate the area under the curve by the integration off the function from X equals zero to the equilibrium point minus the Subtract this rectangular, which has the area off the multiplication off X and why off the Caribbean Point minus quantity multiplied by surprise where X is quantity and P is the price, Then the consumer surplus equals integration from 0 to 6 off the function The off X minus X plus 54 No, the function Yeah, minus five, divided by six x class nine. The X minus que multiplied by B iss six, multiplied by four equals integration off X is X squared, divided by two. Then we have minus X X squared, divided by two. And we have six, then 12 plus nine X. We substitute from 0 to 6, minus 24 by substituting by the hour limit. First, we have minus five by 12, multiplied by 36. Class nine Want employed by six minus. We substitute by the lower limit, which gives you minus 24. These equals minus five. Divided by 12 plus multiplied by 36 last night. Multiply by six. It was 39. Minus 24 equals 15. This is the consumer surplus, the same way we can calculate. That's a ploy. All the producer, sir. Plus, which equals equals here. This area under the curve. No, it's in the area. Surplus off the producer is the area about this girl until the Caribbean boy in the area above the supply here until the Caribbean boy, we can calculate it by calculating the area of this rectangular, and we subtract the area below the light this area or this year which you can calculated by integration, it equals Q B minus submission all the integration from 0 to 6 off Essex. The X equals six months employed by four, minus the integration from 0 to 6. Off the function is a fix, which is off X plus one. The X equals 24 minus integration off X is X squared, divided by two plus X. We substitute from 0 to 6 equals 24 minus. We substitute first by the other limit. We have 36 divided by four plus six minus. We substitute by the lower limit we saw sued by X equals zero, which gives zero equals nine plastics is 15 and we have 24. Minus 15 equals nine. And this is the use of surplus and the final answer off problem on.

Problem. 14. We have the demand and the supply functions for number of units. Six If we have here X number of minutes and y in dollars. Diane and Price. We have the function D of X, which is the domain function, but she is the demand function at 13 and goes toe 13 something like that. The domain for the demand function is from 0 to 13, and we have the supply function sorts at Route 17 and go something like that. The Intersect at a point which is called Caribbean Point full body. We want to find this point This point has the same X and y values for the for the two functions. This means we can equip the two functions on sold for X to get to get the value off X off the equilibrium point. We have 13 minus X equals square root of X plus 17. By squaring both sides, we get 13 squared minus 26 6 plus X squared equals X plus 17. We get all terms in the left hand side. Then we have X squared minus 26 x minus X is minus 27 x and we have 13 squared, which is 169 minus 17 equals plus 152. This equals zero. We want to factories the left hand side Bye for trading, then the left hand side we get X minus 19, multiplied by X minus eight equals zero. This means X equals 19 or X equals eight. We reject this term because it never happens. And this is the intersection off the parabola with the line after 13 and we have the domain for the demand function is 13 at maximum. Then we take X equals it. To get them a price, we substitute either two functions. We have a square root off. Eight plus 17 equals five. This means the Caribbean Point is it eight units and $5 To get the consumer surplus, we get the area under the demand curve. Until the Caribbean point we get the area off this rectangle, we can get it by integration or by geometry. The area of this rectangle is half multiply by bees. Now we have this point. We have your ex at it and why is at five then the area of this rank? It is half multiplied by five multiplied by 13, minus five multiplied by eight. Then we have four multiplied by five is $20. This is the consumer surplus. Four. The producer surplus. It equals the area above the supply curve Until the Caribbean Point, we want to get this area. You can call create this area by calculating the area of this rectangular minus the area below the curve. The area of district anger is a number of Qantas multiplied by the only price off the equilibrium point minus the integration off the supply curve. To get the area below the curve from zero to the supply to the Columbia Point Equipment Point is at X equals it. We have a square root off explosive in teen the X if you multiply it by B. The number of countries is here and this is the number. This is the only price it multiplied by five minus the integration off X plus 17 to the bar off. Off we add one to the bar and divide by then U boat we substitute from 0 to 8 equals 40 minus. We suppose to first by X equals eight. We have a square root of 25 Cube, This is five Cube, divided by 1.5 minus. We substitute by X equals zero. We have a square root of 17 cube divided by 1.5. These equals three point four dollars, $3.4. And this is the final answer, part C. This is a fun answer off part B. Oh, we have here a mystic half multiplied by though it is it not five. This eight. Then the answer is off by 84 multiplied by eight is 32. This is 32 $32 and this is a final answer off board, okay?


Similar Solved Questions

5 answers
Set up the integral to find the volume of the solids generated by revolving the region bounded by the graph of the equation f (x)=4x -x'and about the indicated lines: (2 pts cach) About the y-axis About the X- axis3. About the line x-64. About the line X-25. About the line y-66.About the line Y -6
Set up the integral to find the volume of the solids generated by revolving the region bounded by the graph of the equation f (x)=4x -x'and about the indicated lines: (2 pts cach) About the y-axis About the X- axis 3. About the line x-6 4. About the line X-2 5. About the line y-6 6.About the li...
5 answers
(Oua_ FonPoits ArB cn Kvoe coordknales (-1,!,4),(6,0,2) a (5 FJ Pc( Ive 744o 4,6,87 Tin d Cos(von Fincl Ae O B2 Find |A6l Gnd Iea(
(Oua_ Fon Poits ArB cn Kvoe coordknales (-1,!,4),(6,0,2) a (5 FJ Pc( Ive 744o 4,6,87 Tin d Cos(von Fincl Ae O B2 Find |A6l Gnd Iea(...
5 answers
An electron moves in a circular orbit of radius 20 cm; in an external magnetic field of strength 3.1 T. (Given the mass of electron 9.11x10- 31kg) What is the velocity of the charge in m/s?
An electron moves in a circular orbit of radius 20 cm; in an external magnetic field of strength 3.1 T. (Given the mass of electron 9.11x10- 31kg) What is the velocity of the charge in m/s?...
5 answers
F the " EOUATIONreduction 'CHM Z2101 nd ~nitrophthalhydrazide
F the " EOUATION reduction 'CHM Z2101 nd ~nitrophthalhydrazide...
5 answers
1) Solve each for x in two different ways. First by taking the natural log of each side, moving the exponents down, and then solving for X Remember to move both terms with an X in it to the same side: Check your answer my finding the intersection point in either your calculator or Desmos. a) 2ezx 3*
1) Solve each for x in two different ways. First by taking the natural log of each side, moving the exponents down, and then solving for X Remember to move both terms with an X in it to the same side: Check your answer my finding the intersection point in either your calculator or Desmos. a) 2ezx 3*...
1 answers
Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. $$ \int_{0}^{2}\left(2 x-x^{3}\right) d x $$
Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. $$ \int_{0}^{2}\left(2 x-x^{3}\right) d x $$...
5 answers
Klnetks study 0f the rejction below when [NO] doubled the rexction rte qusdrupled When bath INO] and [O ] doubked Uhie reaction raic quadrupked Whst the corrsct rtc law t0r this rcacton?2NO ZNOzMNOPKnolo MNolto-| HNoriO |
klnetks study 0f the rejction below when [NO] doubled the rexction rte qusdrupled When bath INO] and [O ] doubked Uhie reaction raic quadrupked Whst the corrsct rtc law t0r this rcacton? 2NO ZNOz MNOP Knolo MNolto-| HNoriO |...
5 answers
Two dice are rolled. Find the probability that the sum ofthe two numbers obtained is less than 5 given the sum is even_
Two dice are rolled. Find the probability that the sum ofthe two numbers obtained is less than 5 given the sum is even_...
5 answers
Find the Taylor series for $ f(x) $ centered at the given value of $ a. $ [Assume that $ f $ has a power series expansion. Do not show that $ R_n (x) o 0.$] Also find the associated radius of convergence.$ f(x) = x^5 + 2x^3 + x, $$a = 2 $
Find the Taylor series for $ f(x) $ centered at the given value of $ a. $ [Assume that $ f $ has a power series expansion. Do not show that $ R_n (x) \to 0.$] Also find the associated radius of convergence. $ f(x) = x^5 + 2x^3 + x, $ $a = 2 $...
5 answers
Sin 3( 73. lim 0-0
sin 3( 73. lim 0-0...
5 answers
The two cones have same diameter of 6 feet ad they are connected by a pipeline 4 inches in diameter and 24 feet in lengtn. Initially: the bigger tank is full of water while the other one is empty: lf the pipe line is open to allow water to flow to the smaller tank until it is full, find the height (h) of the water remaining in the bigger tank.5.26 fr6.55 ft489 ft5.89 hNone of the above5.01 f6.16 ft
The two cones have same diameter of 6 feet ad they are connected by a pipeline 4 inches in diameter and 24 feet in lengtn. Initially: the bigger tank is full of water while the other one is empty: lf the pipe line is open to allow water to flow to the smaller tank until it is full, find the height (...
3 answers
Provide Assignment 3 acceptable name - Organic Nomenclature for the following compounds:
Provide Assignment 3 acceptable name - Organic Nomenclature for the following compounds:...
5 answers
H_OHBr Cl Cl Br BrOHBr
h_ OH Br Cl Cl Br Br OH Br...
5 answers
Use the rectangles to approximate the area of the region: (Round your answer to three decimab places.)f(x) = 25 x2 , [-5, 5]-2
Use the rectangles to approximate the area of the region: (Round your answer to three decimab places.) f(x) = 25 x2 , [-5, 5] -2...
5 answers
(3 points) Suppose Tom deposited P dollars to his bank account at an interest rate 0.1. Then the formula for his balance compounded x times per year for 3 years is 3x B(x) = P 1 + 0,1 where B(x) represents the balance: Use L'Hopital' s rule to find out the limiting value of B(x) as x = +o_
(3 points) Suppose Tom deposited P dollars to his bank account at an interest rate 0.1. Then the formula for his balance compounded x times per year for 3 years is 3x B(x) = P 1 + 0,1 where B(x) represents the balance: Use L'Hopital' s rule to find out the limiting value of B(x) as x = +o_...
5 answers
Prove if n is an odd integer; then 3n + 10 is odd.2. Suppose a,b € Z. Prove if a and b are odd, then ab + a + b is odd.
Prove if n is an odd integer; then 3n + 10 is odd. 2. Suppose a,b € Z. Prove if a and b are odd, then ab + a + b is odd....

-- 0.072975--