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.