Ball Bearings, Inc., faces costs of production as follows:...

Ball Bearings, Inc., faces costs of production as follows: a. Calculate the company's average fixed cost, average variable cost, average total cost, and marginal cost at each level of production. b. The price of a case of ball bearings is $850 .$ Seeing that he can't make a profit, the chief executive officer (CEO) decides to shut down operations. What is the firm's profit/loss? Is shutting down a wise decision? Explain. c. Vaguely remembering his introductory economics course, the chief financial officer tells the CEO it is better to produce 1 case of ball bearings because marginal revenue equals marginal cost at that quantity. What is the firm's profit/loss at that level of production? Is producing 1 case the best decision? Explain.

Ball Bearings, Inc., faces costs of production as follows:
a. Calculate the company's average fixed cost, average variable cost, average total cost, and marginal cost at each level of production.
b. The price of a case of ball bearings is $850 .$ Seeing that he can't make a profit, the chief executive officer (CEO) decides to shut down operations. What is the firm's profit/loss? Is shutting down a wise decision? Explain.
c. Vaguely remembering his introductory economics course, the chief financial officer tells the CEO it is better to produce 1 case of ball bearings because marginal revenue equals marginal cost at that quantity. What is the firm's profit/loss at that level of production? Is producing 1 case the best decision? Explain.

Key Concepts

Shutdown Rule

The Shutdown Rule assesses whether a firm should continue operating in the short run by comparing the market price to the average variable cost. If the price falls below the AVC, the firm is better off shutting down operations temporarily to limit losses, as continuing production would not cover the variable costs.

Profit/Loss Analysis

Profit/Loss Analysis involves comparing total revenue with total costs to determine the firm's profitability. It includes considering both fixed and variable costs and is essential for making informed production decisions. This analysis helps the firm decide whether to produce at a certain output level, shut down in the short run, or make adjustments based on cost structures and market conditions.

Marginal Revenue and Profit Maximization

The Marginal Revenue (MR) equals Marginal Cost (MC) rule is a fundamental principle in profit maximization. It states that to maximize profit, a firm should produce up to the point where the additional revenue generated by selling one more unit (MR) equals the additional cost of producing it (MC). Deviations from this rule indicate that profit can potentially be increased by adjusting output levels.

Average Fixed Cost

Average Fixed Cost (AFC) is calculated by dividing total fixed costs by the number of units produced. It reflects the fixed cost burden per unit and declines as production increases, indicating how fixed expenses are spread over more units. This concept is critical for understanding cost behavior in the short run, where fixed costs do not vary with output.

Average Total Cost

Average Total Cost (ATC) is calculated by dividing the total cost (sum of fixed and variable costs) by the quantity of output. It provides a per-unit cost measure that firms use to assess overall efficiency. The behavior of ATC around its minimum point is vital for understanding cost minimization and profitability in both the short run and long run.

Average Variable Cost

Average Variable Cost (AVC) is determined by dividing total variable costs by the output level. It represents the cost incurred for each unit produced that can change with production levels. AVC is particularly important when making short-run production decisions, as it helps to determine whether or not a firm should continue operating by comparing it with the market price.

Marginal Cost

Marginal Cost (MC) is the additional cost incurred by producing one more unit of output. It is a key concept in production and decision making, as it directly influences the optimal level of production. Firms compare MC with market price or marginal revenue to determine whether additional production will add to profit.

Transcript

00:01 Okay, so we've got to do a lot of calculations here, but let's just see what we're looking at.

00:04 We are told here that we need to figure out the average fixed costs for ball bearings ink.

00:12 So let's look here.

00:13 Let's look at this total fixed cost for each quantity level.

00:19 Okay, and so average fixed cost is pretty easy here, right? we're going to take, let's see, for one unit produced, that'll be 100 divided by one.

00:29 So our average fixed cost there is one.

00:32 Now for two units, that'd be 100 divided by two.

00:36 So that would be 50.

00:38 And then we go on down the line and see that our average fixed costs look like this.

00:50 So our average fixed costs, again, is just dividing this column by the quantity produced.

00:56 Do the exact same thing for average variable costs.

01:00 So average variable costs for one unit.

01:04 Let me bump this down.

01:05 So this makes a little more sense.

01:06 Let's put a space there.

01:07 There we go.

01:08 All right.