Calculation of Isocost Line Slope (w=£10, p=£20)

Parallel Nature of Isocost Lines with Varying Costs

Condition for Choosing Energy-Intensive Technology A

A manufacturing firm produces widgets using a combination of labor and automated machinery, having chosen the mix of these two inputs that minimizes its production cost. Initially, the hourly wage for a worker is $20, and the hourly cost to run a machine is$40. Due to new market-wide economic conditions, both the hourly wage and the machine operating cost double, rising to $40 and$80 respectively. How will this simultaneous price change affect the firm's choice of production method and its total cost, assuming it wants to continue producing the same number of widgets at the new lowest possible cost?

A factory manager, aiming to minimize production costs, should only consider switching from a labor-intensive to a machine-intensive production process if the absolute price of machinery falls.

Global Production Strategy

Impact of Proportional Input Price Changes

A firm uses two inputs, labor and capital, to produce its goods. Match each scenario describing a change in input prices to its most likely effect on the firm's cost-minimizing choice of production technology.

Evaluating Economic Policies on Technology Choice

A firm uses labor and capital for production, with the quantity of labor plotted on the horizontal axis and capital on the vertical axis. If the wage rate for labor doubles and the rental price of capital triples, the line representing all combinations of these two inputs for a given total cost will become steeper.

A company uses labor and machinery to produce goods. A new training program is implemented that doubles the productivity of every worker. Simultaneously, the rental cost of machinery is reduced by 50%. Assuming the company wants to maintain its output level at the new minimum cost, it should alter its mix of inputs to use relatively more labor.

Cost Minimization in a Textile Mill

A furniture company produces 100 chairs per day using a combination of skilled carpenters (labor) and wood (raw material). Initially, the wage for a carpenter is $20 per hour, and the cost of wood is$10 per unit. A change in market conditions causes the wage to increase to $30 per hour, while the cost of wood simultaneously decreases to$5 per unit. To maintain its output of 100 chairs at the new minimum cost, which of the following adjustments to its production process should the company make?

Calculation of the Vertical Intercept for the £80 Isocost Line (p=£20)

Calculation of Isocost Line Slope (w=£10, p=£20)