Making dresses is a labor-intensive process. Indeed, the production function of a dressmaking firm is well described by the equation Q = L − L2/(23*100), where Q denotes the number of dresses per week and L is the number of labor hours per week. The firm’s additional cost of hiring an extra hour of labor is about $5 per hour (wage plus fringe benefits). The firm faces the fixed selling price, P = $40. How much labor should the firm employ? (Round your answer to the nearest whole number.
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Making dresses is a labor-intensive process. Indeed, the production function of a dressmaking firm is well described by the equation Q = L − L2/(23*100), where Q denotes the number of dresses per week and L is the number of labor hours per week. The firm’s additional cost of hiring an extra hour of labor is about $5 per hour (wage plus
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- Making dresses is a labor-intensive process. Indeed, the production function of a dressmaking firm is well described by the equation Q = L − L2∕800, where Q denotes the number of dresses per week and L is the number of labor hours per week. The firm’s additional cost of hiring an extra hour of labor is about $20 per hour (wage plus fringe benefits). The firm faces the fixed selling price, P = $40. Over the next two years, labor costs are expected to be unchanged, but dress prices are expected to increase to $50. What effect will this have on the firm’s optimal output? A- Increase B- Decrease C- No EffectA competitive firm uses two variable factors to produce its output, with a production function q = min{x1, x2}. The price of factor 1 is £8 and the price of factor 2 is £5. Due to a lack of warehouse space, the company cannot use more than 10 units of x1. The firm must pay a fixed cost of £80 if it produces any positive amount but doesn't have to pay this cost if it produces no output. What is the smallest integer price that would make a firm willing to produce a positive amount? А. £44 В. £41 С. £29 D. £13 Е. £21The cost function c(w1,w2,y) of a firm gives the cost of producing y units of output when the wage of factor 1 is w₁, and the wage of factor 2 is w2. Find the cost functions for the following firms: a. A firm with production function f(x1,x2)= min{2x1, 3x2} b. A firm with production function f(x1,x2)= 2x1 + 3x2
- Goleta Brewing Company hires only two types of labor, managers and brewing assistants (denoted M and B, respectively). GBC has the following Cobb-Douglas production function F(M,B) = M.5 B.5 and wants to produce 10 barrels of pale ale this week. If the wage of managers is $50 per hour and the wage of brewing assistants is $10 per hour, how many managers and brewing assistants should the firm hire (round to nearest whole number)? How does your answer change when the wage of managers decreases to $30 per hour and the wage of brewing assistants remains constant. Is this result consistent with your intuition?Consider a purely competitive firm that has two variable inputs L (labor hour) and K (machine) for production. The price of product is $p. The production function is Q (K; L) = 4L^1/4 K^1/4 . Assume that the hourly wage of workers is fixed at $w and the price per machine is $r Write out the optimal inputs quantities, L and K, as a function of parameters, p, w, and rThe Brain Bucket Company (BBC) produces helmets for winter sports. It hasproduction facilities in Toronto and Winnipeg. The production function for the Toronto facility isQ(T) = √L(T) , (1)where L(T) is the quantity of labour hired in Toronto.The production function for the Winnipeg facility isQ(W) = √L(W) , (2)where L(W) is the quantity of labour hired in Winnipeg. The wage rate in Winnipeg is one and the wage rate in Toronto is two. Answer the following:(a) If BBC wishes to produce Q helmets at the lowest possible cost, how should it distribute production between the two cities? Use your answer to find a function showing the cost of producing Q helmets. (b) Suppose the production function for the Toronto facility is given by Q(T) = 2L(T)instead, while the production function for the Winnipeg facility remains asabove. What is the cost of producing Q helmets? How should output beallocated between the two cities? Are there any situations in this case where only one facility would be…
- The manager of Don Teeta Company Limited hires labour (L) and rents capital equipment (K) in a very competitive market. Currently, the wage rate of labour is GH¢2 per hour and capital is rented at GH¢5 per hour, the unit price of the product is GH¢0.75 and total cost of production is GH¢1,000. Suppose the firm’s production function (Q) is as follows: Q = 14K0.5L0.5 + 10 Determine the optimal input usage and the maximum profit.A large architectural firm has just landed a contract to build a hospital. Nine architects currently work 40 hours per week in this firm, and all are available to work full-time on this project. The managers estimate that they need 400 architect-hours per week for 20 weeks to complete this project. Architects earn $500 per 40-hour week. Suppose that there is a fixed cost of hiring an architect of $2,000. (This cost reflects the advertising costs, interviewing costs, and so forth.) The firm's current architects are willing to work overtime to complete this project if they receive 1.5 times their usual wage rate for any hours in excess of 40 hours per week. In this situation, the total overtime wages the managers would pay for the project will be $ 18,000 Alternatively, the firm can handle this project by hiring new workers (for 20 weeks only) and having all architects work 40 hours per week. The number of new architects the firm would need to hire is 1. Comparing the costs suggests that…A large architectural firm has just landed a contract to build a hospital. Seven architects currently work 40 hours per week in this firm, and all are available to work full-time on this project. The managers estimate that they need 400 architect-hours per week for 20 weeks to complete this project. Architects earn $500 per 40-hour week. Suppose that there is a fixed cost of hiring an architect of $2,000. (This cost reflects the advertising costs, interviewing costs, and so forth.) Part 2 The firm's current architects are willing to work overtime to complete this project if they receive 1.5 times their usual wage rate for any hours in excess of 40 hours per week. In this situation, the total overtime wages the managers would pay for the project will be $enter your response here.
- A manager hires a labor and rents capital equipment in a very competitive market. Currently the wage rate is Gh₵ 2 per hour and capital is rented at Gh₵ 5per hour, the unit price of the product is Gh₵ 0.25 and total cost is1000. Suppose the firm’s production is as follows: Q =14K⁰L⁰+10 Required What is the amount of labor and capital the firm should employ in order to maximize profit. What is the maximum profit.Suppose a firm hires from the competitive labor and capital market to make strawberries. The per unit price of labor is $w and the per unit price of capital is $r. The firm has raised TC amount of seed money and is deciding to allocate it on hiring labor and capital in the least cost way. The production function of strawberries is written as Q = 25LKb which acts as the production target [0A manager hires labor and rents capital equipment in a very competitive market. Currently the wage rate is $12 per hour and capital is rented at $8 per hour. If the marginal product of labor is 60 units of output per hour and the marginal product of capital is 45 units of output per hour, is the firm using the cost-minimizing combination of labor and capital? If not, should the firm increase or decrease the amount of capital used in its production process?SEE MORE QUESTIONS