If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function C(x) = 1.32x2 + 11.7x + 101.4,where x is the level of production. Find(a) The revenue R(x) and profit Π(x).(b) All values of x for which production of the commodity is profitabl

Q: (i) If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function…

A:

Q: What production level will maximize profits for a company with attached cost and demand functions

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Q: A firm has an average cost function A(q) =125/q+q2/16-4 where q is the firm′s output. (i)…

A: Given: The average cost function is Aq=125q+q216-4, where q is the firm's output.

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Q: There are four questions about this problem in the test shown in random order. Out of 1000 customers…

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Q: Suppose a company's revenue function is given by R(q) = – q° + 280q and its cost function is given…

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Q: Q1(i) If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function…

A:

Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

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Q: The demand function P= D(x)= -0.3x+ 33 and the total cost function C) =1.2x +9.2x+65 for a…

A: The demand function is given by                   D(x)=-0.3x+33 The total cost function is given by…

Q: The total revenue curve of a firm is R(q) = 40q − 12q2  and itsaverage cost A(q) = 1/30 q2 − 12.85q…

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Q: uppose a company has fixed costs of $1800 and variable costs per unit of x- + 1510 dollars, where x…

A: Given fixed cost is $1800. The variable cost is given by 78x+1510x where x is the total number of…

Q: Suppose a company has fixed costs of $54,400 and variable cost per unit of 4/9x + 222 dollars, where…

A: Given the fixed cost of a company is $54400 and the variable cost per unit is 49x+222 dollars,…

Q: The demand curve of a firm is p = 1200 - 21q and its total cost is C(q) = 2q3 - 66q2 + 600q + 1000…

A: We will find out the required value value.

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.