Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and demand are in equilibrium at x = 6. O A. 144 О В. 432 О С. 72

Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x? + 6x +…

A: Given function is as below : C(x)=2x2+6x+12 Marginal cost can be given by Derivative of C(x) .…

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A: Suppose that the demand for a product is given by q2p=6,000, where q represents the number of units…

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A: The consumer surplus is given by C.S.=∫q=0q=eDq dq -e·De, where e is equilibrium value of q. Here,…

Q: 2. Find the producer’s surplus if the supply function for pork bellies is given by S(q) = q512 +…

A:

Q: The volume of fluid in an IV (intravenous) drop decreases according to the mathematical model…

A: The  given model of the volume of fluid in IV drop versus time is:   V=-0.110t+1   Where, V is the…

Q: Suppose a man is 30 years old and would like to retire at age 60. Furthermore, he would like to have…

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Q: Find the consumers' surplus if the demand for an item is given by D(q)=72-q2, assuming supply and…

A: To find the consumer’s surplus.

Q: 3. When r thousand dollars are spent on labor and y thousand dollars on equipment, the output of a…

A:

Q: Suppose the demand for Kepler’s Miniature Planets is given by ?(?) = 275 − 1.25? and the supply is…

A:

Q: 1. The demand function for an electronics company's stereos is D(g) = 228.4 -18q and the supply…

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Q: The current toll for the use of a certain toll road is $2.75. A study conducted by the state highway…

A: Given q=6000e-0.4p When p=2.75, we have q=6000e-0.42,75=6000e-1.1=1997.2265 When p=5, we have…

Q: 1. For a certain commodity, the Demand function is given by D(q) = 400 – q² and the Supply function…

A: Given: Demand function is given by,  Dq=400-q2 Supply function is given by,  Sq=q2+8q+16 (a).…

Q: 2. A company manufactures x HD TVs per month. The monthly marginal profit is given by P'(x)…

A: The  monthly marginal profit function is By integrating, we get

Q: In the Malthusian model let the production function be y = 15-0.1L, the Death Rate function be…

A: Let's find.

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Q: Suppose a company wants to introduce a new machine that will produce a marginal annual savings in…

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Q: Example 16. q =b-!. Show that if T = ae4, then Marginal cost is equakto Average cost provided

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Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100 and…

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A: Differentiate wrt x and y

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A:

Q: The demand for a company's e-reader can be approximated by q(p) = 21e−0.02p million units per year…

A: Elasticity is given by the formula  E=dqdp×pq                     1

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Q: 12. Show that the general linear demand function D(p) = a - bp, where a and b are positive real…

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Q: us Econ 4.5.87 - 2200x A firm has the marginal-demand function D'(x) = Find the demand function…

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Q: The demand for pineapples takes the following form: Q=10-3p. What is the own-price elasticity of…

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Q: and a demand function of d(q) = are given a supply function of s(q) lucer surplus measured in…

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Q: Suppose that in a certain market the demand function for a product is given by  10p + q = 2,100…

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Q: Under which condition(s) does an increase in the total inventory of space produce a decrease in the…

A: dqdS=dQSdS

Q: 5. Calculate the point "self-service" laundry cross-price elasticity of demand at PL = $1.50. Use Qx…

A: Given that : PY = 300PL = 1.50I = 40000A= 200000QX = 197000 - 100PX + 50 PY + 0.0251 +0.02A + 10000…

Q: Find the producers' surplus if the supply function for pork bellies is given by the following. 3/2…

A:

Q: Consider the price-demand equation given by p=8/5 − 1/2,500x. Compute E(1), where E is the…

A: p=8/5 − 1/2,500xTo avoid any confusion due to notation and fraction, please see the white board for…

Q: 14) Let D(x) = (x - 7)² be the price, in dollars per dozen units, that consumers are willing to pay…

A: Given: p=Dx=x-72 dollars per dozen unitsp=Sx=x2+x+4 dollars per dozen units Formulas used:…

Q: 15 Find the marginal-revenue function if the demand function is p = In (q + 3) dr %3D dq

A: TO FIND MARGINAL REVENUE FUNCTION 1.REVENUE r(q) = pq 2.substitute values and solve 3.MARGINAL…

Q: 3. When x thousand dollars are spent on labor and y thousand dollars on equipment, the output of a…

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Q: currently 40 chairs are produced monthly.   ​a) What is the current monthly​ cost? ​b) What is the…

A: Cost function

Q: Suppose that a price p and demand x are related through the price-demand equation x+400p=8,000.…

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Q: 2) Show that X₁ = Xo {1+¹*exp(-)} -DC₁ = v(C₁-Cs). satisfies the steady state growth concentration…

A: Given  -DCL'=vCL-CS

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Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of…

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Q: A study of about 1,800 U.S. colleges and universities resulted in the demand equation q = 10,000 -…

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Q: Consider an island that is separated from the mainland, which contains a pool of potential colonizer…

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Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100…

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Q: Consider the price-demand equation given by p= 8/5 − 1/2,500x. Calculate E(2), where E is the…

A: Find the elasticity of demand E (2).First find the demand function from price-demand equation.

Q: Suppose the equilibrium price for soft drinks is $1.00. If the current price in the soft drink…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.