Suppose the demand for a product is given by p = −0.8q + 150 and the supply for the same product is given by p = 5.2q. Find the equilibrium point.

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Q: Suppose the supply and demand equations for a product are given by: p2+4q = 169   49 − p2 + 6q = 0…

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Q: Consider the price-demand equation given by p=6,000−x/ 1,200. For which value of p is the elasticity…

A: P = (6,000 - X) / 1,200Hence, X = 6,000 - 1,200PdX / dP = -1,200

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x cost is C(x) = 0.02x + 38, for x units…

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Q: 2. A product has a demand function p = 144 – x² and its supply function is p = = x2 + 10x + 116. a.…

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Q: (1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: (1) The revenue for a product is R(x) = -0.004x? + 21x – 6200 and the cost is C(x) = 0.02x + 38, for…

A:

Q: The demand function for a certain product is  p = 100 − x2 and the supply function is p = x2 + 6x +…

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Q: The demand curve for product a is given as Q = 2000 - 20P. How many units will be sold at $10?…

A: Q =2000-20P  (4)   at P =$ 70                          Marginal Revenue          Q =2000-20×70…

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Q: A company has determined the demand and supply functions for a product are given by        p =  D(…

A: Given demanf function,p = D(x) = 14 - x2Supply function p = S(x) = 4x + 2

Q: the supply and demand functions of a given product QS is x2 + 14x + 22  and QD = -x2 - 10x = 150,…

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Q: Find the marginal cost function C(x) = 240 + 5.7x-0.04x2 C'(x) = O LC

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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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Q: Suppose the supply function for concrete is given (in dollars) byS(q) = 100 + 3q3/2 + q5/2,and that…

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Q: Find the consumers' surplus at a price level of $8 for the price-demand equation p = D(x) – 0.05x

A: Solution is given below : Answer: 1440

Q: Suppose the demand for a product is given by 2p3q = 500,000p2 where p is price in dollars and q is…

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Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Given: The demand function for a certain product is p=144-x2 and the supply function is p=x2+2x+84.…

Q: The demand function for a certain product is p = 121 − x2 and the supply function is p = x2…

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Q: equilibrium values for the fraction of sites occupied

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Q: suppose the supply function for a product is 2p - q - 20 = 0, while the demand function for the same…

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Q: (1) The revenue for a product is R(x) = -0.004x² + 21x - 6200 and the cost is C(x) = 0.02x + 38, for…

A:

Q: Suppose the demand for a product is given by 2p3q=500,000+500p2 where p is the price in dollars and…

A:

Q: Find the cost function C(x)-

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given: D(x)=144x   and     S(x)=xP=12     and     Q=144

Q: 23. Suppose that total national consumption is given by a C(x)=200–0.6x–0.05x0“, where x is the…

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Q: (1) The revenue for a product is R(x) = -0.004x² + 21x –- 6200 and the cost is C(x) = 0.02x + 38,…

A:

Q: (1) The revenue for a product is R(x) = −0.004x2 2 + 21x − 6200 and the cost is C(x) = 0.02x + 38,…

A: The solution is given below

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Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A: given:- p = 4x^2 + 30x + 6.

Q: 1) Suppose that the dollar cost of producing q extra-large pepperoni pizzas is C(q) = 2200 + 15q –…

A: Given:        Cq= 2200 + 15q - 0.125q2   To FIND; Marginal cost when 30 pizzas are produced…

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A: Note: in the given question, rounding is mentioned.. So i rounded to nearest cent

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.