The demand function for a Christmas music CD is given by q = 0.4(415 – p) where q (measured in units of á hundred) is the quantity demanded per week and p is the unit price in dollars. (a) Evaluate the elasticity at 20. E(20) (b) Should the unit price be lowered slightly from 20 in order to increase revenue? ? (c) When is the demand unitary? p = dollars (d) Find the maximum revenue. Maximum revenue = hundreds of dollars

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Q: Calculate the following functions: (i) A 40:20 (i) A40.201 Basis: =110-x (for xs110 ). Interest 4%…

A: Given basis: fx=110-x (for x≤110).Interest 4% per annum.setting out an experession for a term…

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

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Q: Suppose that the demand for x units of a product is x = 9,000 – 90p where p dollars is the price per…

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Q: A culture of bacteria grows according to the continuous growth model B = f(t) = 400e0.05t where B is…

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Q: The approximate rate of change in the number of design patent applications received in recent years…

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Q: v = f(h) = 4/400 – h , 0 < h < 400 expresses the speed (in ft/sec) of a ball in terms of its hcight,…

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Q: Suppose a company has fixed costs of $300 and variable cost per unit of 2x +1460 dollars, where is…

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Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: The demand D(s) for a product is the number of consumers who will buy the product at a price of s…

A: a) 50 cents= $ 0.50 So we have to find D(0.50) to find the number of books sold.

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A: Regression equation is used to predict the variable based on the explanatory variable. It explain…

Q: An oil company discovered an oil reserve of 110 million barrels. For time t> 0, in years, the…

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Q: A 600 gallon tank is initially half full with pure water. A mixture containing a concentration of 1…

A: Let, the volume function be vt

Q: Q3) The component of national economy is as follows: Y= 5000 C= 1800 T= 1400 C= 500+(1/2)(Y-T) |=…

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Q: Please find the constant c, if for 10 years I make continuous payments into a special Swiss account,…

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Q: The monthly demand function and cost function for x newspapers at a newstand are given p=10-0.002x…

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Q: For the demand equation x = f (p) = p^2 −4p, answer the following questions. (a) Write down the…

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Q: The equations for free fall at the surfaces of Venus and Jupiter (s in meters, t in seconds) are s =…

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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.