Figure 6.16: The Firm's Profit-Maximizing Equilibrium
Figure 6.16 depicts the firm's optimal choice, which occurs at point E. This point represents the profit-maximizing equilibrium, where the highest possible isoprofit curve (corresponding to a profit of €3,610) is tangent to the no-shirking wage curve. The specific values at this equilibrium are an employment level (N) of 38 and a wage (w) of €705.
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Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.6 The firm and its employees - The Economy 2.0 Microeconomics @ CORE Econ
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Analogy Between Firm's Profit Maximization and Consumer's Utility Maximization
Profit Trajectory Along the No-Shirking Wage Curve
Solving for Optimal Wage and Employment Using Simultaneous Equations
Figure 6.16: The Firm's Profit-Maximizing Equilibrium
Two competing firms, Firm 1 and Firm 2, must simultaneously decide whether to advertise their product or not. The table below shows the resulting profits for each firm based on their combined decisions. The first number in each cell is Firm 1's profit, and the second is Firm 2's profit. Assuming both firms act rationally in their own self-interest and make their decisions independently, what is the most likely outcome?
Firm 2: Advertise Firm 2: Don't Advertise Firm 1: Advertise ($10M, $10M) ($25M, $4M) Firm 1: Don't Advertise ($4M, $25M) ($20M, $20M) A firm's profit-maximizing choice of wage and employment occurs at the point of tangency between its 'no-shirking wage curve' (the minimum wage needed to motivate workers at each employment level) and the highest attainable 'isoprofit curve' (combinations of wage and employment that yield the same profit). Why is a point where an isoprofit curve intersects (crosses) the no-shirking wage curve not the optimal choice for the firm?
Analysis of a Firm's Employment Strategy
Analysis of a Firm's Employment Strategy
Optimality Condition for Firm's Employment
A firm seeks to maximize its profit by choosing a wage and a corresponding number of employees. The firm must pay a wage high enough to motivate its workers, and this required wage increases as more workers are hired, defining a feasible wage-employment curve. The firm is currently operating at a point on this curve where the rate of increase in the required wage is less than the rate at which the firm can trade off higher wages for more employees while keeping its profit constant. To increase its profit, what should the firm do?
Consider a firm choosing its wage and employment level along a curve representing the minimum wage required to motivate workers at each level of employment. At its current operating point, the firm finds that the slope of its isoprofit curve is steeper (more negative) than the slope of the wage-employment curve. This indicates that to increase profits, the firm should reduce the wage and employ fewer workers.
A profit-maximizing firm must choose a wage and an employment level from a set of feasible options. These options are represented by an upward-sloping curve, where a higher level of employment requires a higher wage. At the firm's current position on this curve, the following conditions hold:
- The slope of the feasible wage-employment curve is +0.5. This means that to hire one more worker, the firm must increase the wage by €0.50.
- To maintain its current level of profit, the firm can trade off wages and employment at a rate of €0.75 per worker. This means it could increase the wage by €0.75 for one additional worker and its profit would remain unchanged.
Given this information, what should the firm do to increase its profit?
Evaluating a Consultant's Hiring Recommendation
A firm chooses its wage and employment level along an upward-sloping curve that represents the minimum wage required to ensure workers do not shirk. The firm's objective is to maximize profit. At its current operating point, the firm finds that the rate at which it can trade a higher wage for more employment without changing its profit is greater than the rate at which it must increase the wage to hire one more motivated worker. Based on this information, what should the firm do to increase its profit?
Learn After
Activity: Evaluating Statements about the Firm's Profit-Maximizing Choice (Figure 6.16)
A firm must decide on the number of employees to hire (N) and the wage to offer (w). To ensure workers are motivated and productive, the firm must pay a wage that is on or above an 'effort-incentive curve', which shows the minimum wage required for each level of employment. The firm's goal is to maximize profit. It can visualize its profit using isoprofit curves, where each curve represents all combinations of N and w that yield a specific profit level; curves further from the origin represent higher profits. Given the options below, which combination of wage and employment represents the firm's profit-maximizing choice?
Optimality Condition for Profit Maximization
Evaluating a Staffing Strategy
Evaluating a Non-Optimal Staffing Strategy
A firm's profit depends on the number of employees it hires and the wage it pays. To ensure workers are productive, the firm must pay a wage that is on or above an 'effort-incentive' curve, which shows the minimum wage needed for each level of employment. The firm's profit levels are represented by a series of isoprofit curves. The firm identifies its profit-maximizing point where it earns €3,610 by hiring 38 employees at a wage of €705. At this point, the €3,610 isoprofit curve is tangent to the effort-incentive curve.
Consider an alternative point, which is also on the effort-incentive curve, where the firm hires 50 employees at a wage of €840. This choice results in a lower profit of €3,000. Why is this alternative point less profitable than the optimal choice?
A firm determines that its maximum possible profit is €3,610, achieved by hiring 38 employees at a wage of €705. This employment-wage combination lies on the 'effort-incentive curve', which defines the minimum wage required to motivate a given number of employees. Based on this model, it is true that the firm could achieve the same profit of €3,610 by choosing a different combination of more employees and a higher wage that also lies on the effort-incentive curve.
Analyzing a Compensation Strategy Proposal
Analyzing Feasibility and Optimality
A company seeks to maximize its profits by choosing the number of employees to hire and the wage to pay. To ensure workers are productive, the company must pay a wage that lies on or above an upward-sloping 'effort-incentive' curve, which shows the minimum wage needed for each level of employment. The company's different profit levels are represented by a series of isoprofit curves, with higher profits on curves that are 'better' (e.g., lower and to the right). The profit-maximizing point occurs where an isoprofit curve is tangent to the effort-incentive curve.
Imagine the company is currently operating at a point on the effort-incentive curve where the slope of the isoprofit curve passing through that point is less steep than the slope of the effort-incentive curve. Which of the following actions would allow the company to move to a higher isoprofit curve and thus increase its profit?
A firm must choose a wage and number of employees to maximize profit. Its choices are constrained by an upward-sloping 'effort-incentive curve,' which shows the minimum wage required to motivate workers at each level of employment. Any point on or above this curve is a feasible choice for the firm. The firm's profit levels are shown by isoprofit curves. The firm's optimal choice is where an isoprofit curve is tangent to the effort-incentive curve. Match each of the following types of points to its correct description.