Suppose a company has the following total cost function: TC = 20 + 3x + 54x...
Assume that a competitive firm has the total cost function: TC=1q3−40q2+740q+1500 Suppose the price of the firm's output (sold in integer units) is $750 per unit. Using calculus and formulas (but no tables and restricting your use of spreadsheets to implementing the quadratic formula) to find a solution, what is the total profit at the optimal integer output level? Please specify your answer as an integer. Hint 1: The first derivative of the total cost function, which is cumulative, is...
2. Consider the following cost minimization problem. A firm minimizes total cost given by, TC = wL+rK subject to an output constraint as given by the production function, y=f(K,L)=8K05 +420S, where TC refers to total cost, L is labor input, K is capital input, r is the price of capital, w is the wage rate, and y is output. a. Derive the factor demand functions and the optimal cost function. The first order conditions and all the steps involved in...
Q: Suppose a firm's total cost function is TC = 16 + 5Q + 4Q2 . What is the output level that minimizes average total cost?
Suppose that each firm in a competitive industry has the following costs:Total Cost: TC=50+1/2 q2Marginal Cost: MC=qwhere q is an individual firm's quantity produced.The market demand curve for this product is:Demand QD=160-4 Pwhere P is the price and Q is the total quantity of the good.Each firm's fixed cost is $_______ What is each firm's variable cost?1/2 q50+1/2 q1/2 q^{2}qWhich of the following represents the equation for each firm's average total cost?50/q+1/2 q50+1/2 q50/q1/2 qComplete the following table by computing the...
suppose a firm's total cost of production (TC) is tc=2Q^2 mc=4Q Suppose a firm's total cost of production (TC) is TC = 20 MC = 40 What do the firm's average total cost curve, average variable cost curve, and marginal cost curve look like? Draw the following curves from 0 to 5 units of output. 1.) Using the line drawing tool.graph the firm's average total cost curve and label it ATC 2.) Using the line drawing tool, graph the firm's...
Suppose that a firm has a short run, total cost function given by: TC= 1089 +10q +9q2. 1. Determine the profit-maximizing quantity of production when price is $244. _____________________________________ q= 13 2. Calculate the price at which this firm breaks even (i.e. profit = $0). _____________________________________ $208 3. Calculate the price at which this firm shuts down in the short run. _____________________________________ $10 The answers are given but can you show how to get them step by step.
Suppose that a price searcher had a total cost function given by: TC= 20 + 2q +0.25Q?The demand for the price searcher's product is given by: Qp= 100 -5P Calculate the profit-maximizing quantity the monopolist will produce. Answer: Check
Suppose a firm has the following total cost function: TC = 300 + 40 Q – 8Q2 + (2/3) Q3 (a) Write an equation for (i) average fixed cost; and (ii) average variable cost (b) What will be the value of average (total) cost when Q = 60? (c) What will be the marginal cost, when Q = 20? (d) For this firm what will be the value of average variable cost at its minimum
Suppose that the long-run total cost function for the typical mushroom producer is given by: TC=wq2 -10q+100 Where q represents the output of the typical firm and w represents the hourly wage rate mushroom pickers. The market for mushrooms is perfectly competitive. Suppose also that the demand for mushrooms is given by Q= -1000p+35,000 Where Q is the total quantity demand and P is the market price of mushrooms. 1. If the wage rate for mushroom pickers is $4.00, what...
Suppose the firm's total cost and marginal cost functions are given by TC = 54 + Q + 2Q3 and MC = 1 + 4Q2, respectively. What is the output level that minimizes average total cost? 2 3 6 8