Final answer:
To find the profit-maximizing quantity for Doggies Paradise Inc., calculate total revenue, marginal revenue, total cost, and marginal cost for output levels one to five. The profit-maximizing quantity is where the marginal cost equals the marginal revenue. Draw total revenue and total cost curves on one diagram, and marginal revenue and marginal cost curves on another to visually represent these points.
Step-by-step explanation:
To determine the profit-maximizing quantity for Doggies Paradise Inc., we first need to calculate the total revenue (TR), marginal revenue (MR), total cost (TC), and marginal cost (MC) for each output level from one to five units. In a perfectly competitive market, the marginal revenue is equal to the price, so for each additional unit sold, MR will be $72. Here's a breakdown of the calculations:
- Total Revenue (TR) = Price * Quantity
- Marginal Revenue (MR) = Change in TR / Change in Quantity
- Total Cost (TC) = Fixed Costs + Variable Costs
- Marginal Cost (MC) = Change in TC / Change in Quantity
Once the calculations are made, create the table with the calculated values, and then plot the TR and TC curves on one diagram and the MR and MC curves on another diagram. The profit-maximizing quantity is where MR = MC, and it's just before the point where MC starts to exceed MR.
Remember, when drawing the diagrams, the total cost curve should start at the fixed cost level, and both the TC and TR curves should slope upwards. Similarly, in the MR and MC diagram, identify where the two curves intersect; this point will indicate the profit-maximizing output level.