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: Suppose that the total cost of producing q widgets is given by C(q) = 0.02q + 50g + 1000. Also,…

A: Given that, Total cost C(q) = 0.02q2 + 50q + 1000 Price of a widget p = 100 - 0.005q  a) Total…

Q: If TC=0.01x²+5x+100 is the cost function for x items of a product, at what level of production, x is…

A: As per the question we have to minimise the cost function Tc and find its minimum value as well as…

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

A: The marginal cost of production is given as:MC=dxdC​=5−500x​The equilibrium condition is satisfied…

Q: Suppose that the demand function for a product is given by the formulap = 2000 – 5q dollars, where q…

A: Here demand function is given need to find maximize revenue and at what value

Q: Q2 (b) if the profit function for a product is P (x) = 5600x + 85 x - x' - 200,000 dollars, selling…

A:

Q: Suppose the demand function for red sprockets is given by p(q)=−3q+1400 where p(q) is in dollars and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A:

Q: e value of the constant a of (x² + 4xy)dx + (ax² + 3y²)dy if the differential equation is exact, is…

A:

Q: Suppose that • The Demand Price Function is p = D(x) = 120 -0.02x. • The selling price has been…

A: A)) To find the corresponding demand for the selling price of p = 60, we can set p = 60 in the…

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…

A:

Q: Now suppose in a competitive market the demand function is p+1200-2x and the supply function is p…

A: Suppose  demand function is p=1200-2x and the supply function is p=200+2x. let the  firms average…

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: A firm's short-run cost curve for any given level of capital K is C(K,Q) K+K-1/2Q2: Find the…

A: Approach to solving the question:Understand the given short-run cost function, which is (C(K,Q) = K…

Q: The demand function for a good is given by the equation P = a − bQ while the total cost function is…

A:

Q: If the demand function for a product is given by p(x) = -0.25x² + x +99, where x is the number of…

A: Given demand function for the product is px=−0.25x2+x+99. We have to find the revenue of selling 6…

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.