A profit-maximizing firm understands that to ensure employees work hard, the wage it offers must be sufficiently high, and that this required wage level tends to increase as more workers are hired. Now, imagine a law is passed that establishes a single, binding minimum wage. This new minimum is higher than the wage the firm would need to pay for a small workforce, but lower than the wage it would need to pay for a very large workforce. Which statement best analyzes how this law alters the set of possible wage and employment combinations for the firm?

Shape of the New Feasible Set Boundary

A firm's initial set of possible wage and employment combinations is constrained by an upward-sloping curve, where higher employment requires a higher wage to ensure workers are productive. Now, a government introduces a single minimum wage that is above the wage required for low levels of employment but below the wage required for high levels of employment. This creates a new, kinked lower boundary for the firm's possible combinations. Match each feature of this new boundary to the economic reason behind it.

Analyzing Wage Policy Changes

A company determines that the hourly wage (W) required to ensure its employees work diligently is a function of the number of employees (N) it hires, described by the equation W = 8 + N. The government then introduces a mandatory minimum wage of $20 per hour. Under these conditions, what is the lowest possible hourly wage the company can offer to effectively maintain a workforce of 10 employees?

Consider a firm where the wage needed to ensure worker effort increases with the number of employees. If a government imposes a minimum wage that is above the wage required for low employment levels but below the wage needed for high employment levels, the new lower boundary of the firm's feasible set is a single, continuous horizontal line at the minimum wage for all levels of employment.

Analyzing Labor Constraints at a Local Cafe

A company determines that the hourly wage (W) needed to ensure its employees are productive is represented by the function W = 10 + 0.5N, where N is the number of employees. If the government establishes a mandatory minimum wage of $15 per hour, for which of the following employment levels would the company need to pay more than the legal minimum to maintain worker productivity?

A firm determines that the minimum hourly wage (W) it must offer to ensure its workers remain productive is given by the function W = 12 + 0.5N, where N is the number of employees. The government then mandates a new minimum wage of $20 per hour. The firm must pay the legally required minimum for any number of employees up until the point where the productivity-ensuring wage becomes higher. Calculate the maximum number of employees for which the government's minimum wage is the binding constraint on the wage floor. Enter a single numerical value.

Evaluating Policy Arguments on Minimum Wage