Final answer:
The zero-profit and shutdown points are determined by where the sales price intersects with the company's cost curves. At a $500 sales price, the company would incur losses since marginal costs surpass this sales price for most units. Graphs of AC, MC, and AVC would illustrate these financial outcomes.
Step-by-step explanation:
In a scenario where a computer company with fixed costs of $250 produces home computer systems with marginal costs increasing from $700 for the first unit up to $500 for the seventh, determining the zero-profit point and shutdown point requires analyzing both total costs and total revenues at various prices per computer sold.
If computers are sold at $500 each, the calculation for profit or loss involves subtracting total costs from total revenue. For each unit, the difference between the selling price ($500) and the marginal cost will contribute towards covering fixed costs and potentially generating profit. However, since the marginal costs for most units are above $500, selling at this price would result in a loss for each of those units.
Calculating total cost involves summing fixed costs and the marginal costs for all units produced. To obtain a graphical representation, one must plot the Average Cost (AC), Marginal Cost (MC), and Average Variable Cost (AVC) curves. The price at which these costs intersect the sales price will determine the answers to both the zero-profit point and shutdown point questions as well as the profitability at given sales prices.