Find the integral of (y2 -1) dx-2dy = 0
The given equation is: \[ (y^2 - 1) dx - 2dy = 0 \] To solve this, we can first rewrite it as: \[ (y^2 - 1) dx = 2dy \] Now, divide both sides by \((y^2 - 1)\): \[ dx = \frac{2dy}{y^2 - 1} \] Next, we __________ ________ ___ _______ _____ ________ ________ _____ ________ _______.
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A firm in a perfectly competitive market has the following cost function:
C = 1/3q3 – 5q2 + 30q +10
If the market-clearing price is 6, obtain the profit maximising level of output.
OR
Given the demand function PD = 27 – Q 2 and supply function Ps = 2Q + 3. Assuming perfect competition, find (i) the consumers’ surplus, (ii) the producers’ surplus.
. A monopolist faces the demand curve Q = 60-P/2. The cost function is C=Q2 . Find the output that maximises this monopolist’s profits. What are the prices at profits and that output? Find the elasticity of demand at the profit maximising output.
OR
A monopolist firm has the following total revenue and total cost functions:
R = -mQ2 + nQ ( m,n > 0)
C= aQ2 + bQ + c (a,b,c > 0)
Suppose that the government plans to levy an excise tax on the product of this firm and wishes to maximise the total tax revenue T from this source. What tax rate t ( rupees per unit of output) should the government choose?
If the demand function for a good is Q=140 – 5P, what is the price elasticity of demand at P = 15 rupees?
What is a point of inflexion ? Does f(x) = x3 have a point of inflexion at x = 0?
Find marginal cost (MC) and average coat (AC) as functions of qGiven the total cost function TC = 9q2 + 2q + 8100
(a) Find marginal cost (MC) and average coat (AC) as functions of q
(b) Show that when MC < AC, AC is falling, and when MC > AC, AC is rising
