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y = min(x1, x2)
find input
find profit function.
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- Consider a production function in such a form: Q= f (K,L)= 3KL Calculate the elasticity of substitution (Ϭ) for this firm.Given a Cobb-Douglas Technology specified as follows:f(x1, x2) = x1α x21−α 1. Find the marginal rate of technical substitution (MRTS)2. Derive the expression for Elasticity of Substitution(a) Find the conditional input demand function for inputs 1 and 2, as well as the cost function for this firm. (b) What is the firm's marginal cost when it is producing y units of output?
- given the function c(x) = 100 + 8x + 0.1x^2 find the marginal profit At x = 50 if the price per unit is 20Suppose that the production function is given by y = 2x0.5 The price of x is $3 and the price of y is $4. Derive the corresponding VMP and AVP functions. What is MFC? Solve for the profit-maximizing level for input use x.Consider the following equation Q = f(K, L) = K0.7 L0.3 Find (d) Equation representing an isoquant and show that it is convex to the origin (e) Elasticity of substitution (f) Output elasticities of factors
- Calculate the point of indifference for the following products: a) A i. Fixed costs = 2,070,550 ii. Variable costs = 54/item b) B i. Fixed costs = 5,275,000 ii. Variable costs = 45/itemThe demand function for specialty steel products is given, where p is in dollars and q is the number of units. p = 180 3 125 − qA firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.
- Find the supply function and the input demand functions for the CES production function: f(x1,x2)=A(αxρ1 +(1−α)xρ2)β/ρ, where A > 0, β > 0, 0 < α < 1, and 0 ̸= ρ < 1.Let x denote the level of output of a firm’s production process. The cost function is given by C (x) = x(x +1)+120 and the demand function of the product by x =1000 - 2p. (a) Compute profit E(x). (b) Find the output x at which profit is maximized. Please answer both subparts. I will really upvote. ThanksYou are an accountant for a manufacturer of radios. The demand function for the tablets is p = 40 – 4x2 where x is the number of tablets produced in millions. It costs the company $15 to make a tablet. (i). Write an equation for the manufacturer’s profit as a function of the number of tablets produced.