2. Consider a firm that has won a contract to produce 200 units of output. Given that the firm's revenue from this contract is fixed (it is determined by the contract), the firm wants to fulfill the contract as cheaply as possible to maximize their profits. In other words, the firm now wants to minimize its costs of producing 200 units. The price per unit of capital is $10, the price per unit of labor is $20, and the firm's production function is given by q = 5K1/²L1/2 where q is output, K is capital used, and L is labor used. a. Solve for the cost-minimizing combination of labor and capital where the firm is able to produce 200 units and fulfill the contract. b. What is the lowest cost possible to fulfill the contract? What would be increased cost if the firm wanted to produce 201 units instead? (Hint, use the Lagrange multiplier, 2. C.

2. Consider a firm that has won a contract to produce 200 units of output. Given that the firm's revenue from this contract is fixed (it is determined by the contract), the firm wants to fulfill the contract as cheaply as possible to maximize their profits. In other words, the firm now wants to minimize its costs of producing 200 units. The price per unit of capital is $10, the price per unit of labor is $20, and the firm's production function is given by q = 5K1/²L1/2 where q is output, K is capital used, and L is labor used. a. Solve for the cost-minimizing combination of labor and capital where the firm is able to produce 200 units and fulfill the contract. b. What is the lowest cost possible to fulfill the contract? What would be increased cost if the firm wanted to produce 201 units instead? (Hint, use the Lagrange multiplier, 2. C.

Essentials of Economics (MindTap Course List)

8th Edition

ISBN:9781337091992

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter13: Firms In Competitive Markets

Section: Chapter Questions

Problem 11PA: Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + q2...

See similar textbooks

Similar questions

What is die difference between accounting and economic profit?
Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + q2 Marginal cost: MC = q where q is an individual firms quantity produced. The market demand curve for this product is Demand:QD = 120 P where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market. a. What is each firms fixed cost? What is its variable cost? Give the equation for average total cost. b. Graph average-total-cost curve and the marginal-cost curve for q from 5 to 15. At what quantity is average-total-cost curve at its minimum? What is marginal cost and average total cost at that quantity? c Give the equation for each firms supply curve. d. Give the equation for the market supply curve for the short run in which the number of firms is fixed. e. What is the equilibrium price and quantity for this market in the short run? f. In this equilibrium, how much does each firm produce? Calculate each firms profit or loss. Is there incentive for firms to enter or exit? g. In the long run with free entry and exit, what is the equilibrium price and quantity in this market? h. In this long-run equilibrium, how much does each firm produce? How many firms are in the market?
1. Throughout this course, we have solved many optimization or profit maximizing problems. a. State the rules used for unconstrained (regular) optimization and for constrained optimization. b. Using your own words, explain the rationale behind each stated rule as if you were explaining them to someone who has not yet completed this course: c. What doe economist mean when they use the term marginal? d. State how to compute Profit and explain how account profit and economic profit provides different insights to a firm’s current operations.
1. Suppose Firm A has a budget of P1.5 million pesos in outsourcinginputs, labor and machines, that would lend support in its 1 yearoperation. Suppose further that the cost of labor for 1 year is P150,000and for a machine is P200,000. If it decides to hire 6 laborers, howmany machines would it accept?
1. Assuming that the product’s price is P58 per pack, should the competitor sell in the short-runWhy or why not?If it decides to sell, what will be the profit-maximizing (or loss-minimizing output per day)?What is the profit (or loss) that the seller can realize per day? What is the profit (or loss) per pack?A. Assuming that the product price is P42 per pack, answer the same questions in letter A.B. Because of increasing sellers of masks in the market, the product’s price further decreased to P32per pack. Again, answer the same questions in letter A.C. When is this seller going to shut down?D. Now generate the seller’s supply curve of mask in the short run.
For LG Company, the total cost of producing 200 refrigerators is R.O 48,000. When the company produced one more refrigerator, the total costs increased to R.O 48,250. What is the marginal cost of production here? a. R.O 200 b. R.O 180 c. R.O 230 d. R.O 250
41-Marginal cost can be improved by taking which of the following steps? O a. Reducing fixed costs. O b. Increasing the variable cost O c. Changing the business plan frequently O d. Investing the capital in share market
5) A firm that has positive accounting profit does not necessarily have positive economic profit. True or false? Explain.6) Assume that marginal cost in production is greater than average variable costs. Can you determine whether average variable cost is decreasing or increasing? Explain.
a. Why will firms in most markets be located at or close to the bottom of the longrun average cost curve? b. Distinguish between implicit and explicit costs. How is it possible to havepositive accounting profit and negative economic profit concurrently? c. Distinguish between economies of scale and constant returns to scale. What shape will the long-run average cost curve have for economies of scale andconstant returns to scale. d. What is the difference between production in the short run and production in the long run? Explain the shape of the long-run cost curve in relation to shortrun cost curves?
2. As a general rule, when accountants calculate profit they account for explicit costs but usually ignorea. certain outlays of money by the firm.b. implicit costs.c. operating costs.d. fixed costs.
The Calhoun Textile Mill is in the process of deciding on a production schedule. It wishesto know how to weave the various fabrics it will produce during the coming quarter. Thesales department has confirmed orders for each of the 15 fabrics produced by Calhoun.These demands are given in the following table. Also given in this table is the variablecost for each fabric. The mill operates continuously during the quarter: 13 weeks, 7 daysa week, and 24 hours a day.There are two types of looms: dobbie and regular. Dobbie looms can be used to makeall fabrics and are the only looms that can weave certain fabrics, such as plaids. The rateof production for each fabric on each type of loom is also given in the table. Note that ifthe production rate is zero, the fabric cannot be woven on that type of loom. Also, if afabric can be woven on each type of loom, then the production rates are equal. Calhounhas 90 regular looms and 15 dobbie looms. For this problem, assume the time requirementto change…
Title is my answer for this question correct please advice me Description Making dresses in a labor intensive process. Indeed, theproduction function of a dress making firm is well described by theequation Q=L - L^2/800, where Q denotes the number of dresses perweek and L is the number of labor hours per week. The firms cost ofhiring an extra hour of labor is $20 per hour (wage plus fringebenefits.) The firm faces the fixed selling price, P = $40. a.) How much labor should the firm employ? What are itsresulting output and profit? b.) Over the next 2 years, labor costs are expected to beunchanged, but dress prices are expected to increase to $50. Whateffect will this have on the firm's optimal output? Explain.Suppose that inflation is expected to increase the firm's laborcost and output price by identical (precentage) amounts. Whateffect would this have on the firm's output. c.) Finally, suppose that MCL =$20 and P=$50 but that laborproductivity (output per labor hour) is…