A firm uses two inputs, labor and capital, to produce its goods. For a certain total expenditure, the firm can afford to purchase a maximum of 10 units of capital (if it purchases zero labor) or a maximum of 5 units of labor (if it purchases zero capital). All combinations that can be purchased for this expenditure are represented by a straight line connecting these two points. If the firm's total expenditure is now halved, which of the following combinations of labor and capital would become unaffordable?

Production Plan Feasibility Analysis

A firm has a total budget of £40 to spend on two inputs: labor and coal. The firm can afford to hire a maximum of 4 workers if it buys no coal, or purchase a maximum of 2 tons of coal if it hires no workers. The line connecting these two points represents all combinations of inputs that cost exactly £40. Match each of the following input combinations with its corresponding cost description.

A firm's budget line for a total expenditure of £40 connects the points representing (4 workers, 0 tons of coal) and (0 workers, 2 tons of coal). To maintain the same total cost, how many tons of coal must the firm forgo if it decides to hire one additional worker?

Deriving Input Prices from an Isocost Line

A firm's budget allows it to purchase a maximum of 4 workers (if it buys no coal) or a maximum of 2 tons of coal (if it hires no workers) for a total cost of £40. Given this constraint, a combination of 3 workers and 1 ton of coal is unaffordable.

Interpreting the Isocost Line Slope

A firm has a total budget of £40 to spend on two inputs: workers and coal. With this budget, the firm can purchase a maximum of 4 workers (if it buys no coal) or a maximum of 2 tons of coal (if it hires no workers). If the price of coal were to decrease, while the wage rate for workers and the total budget remain constant, how would the line representing all possible input combinations change?

Calculating the Cost of an Alternative Input Mix

Evaluating an Input Budgeting Strategy