Deriving the Profit Function from the Demand Curve
An alternative method for solving a firm's profit-maximization problem is to directly calculate the profit for each feasible price-quantity combination along the demand curve. By plotting these profit values against their corresponding quantities, a profit function graph is generated. The peak of this curve reveals the quantity that yields the highest possible profit for the firm.
0
1
Tags
Economics
Economy
Introduction to Microeconomics Course
CORE Econ
Social Science
Empirical Science
Science
The Economy 2.0 Macroeconomics @ CORE Econ
Related
The Downward-Sloping Nature of the Marginal Revenue Curve
Expressing Profit as a Function of Quantity (Q) Using the Substitution Method
Figure 7.4b: Cheerios Profit Function Graph (Profit-Quantity Diagram)
Profit Maximization at the Intersection of Marginal Revenue and Marginal Cost Curves
Artisanal Bakery's Optimal Output Decision
A company that produces handcrafted chairs has the following demand and total cost information. To maximize its profit, how many chairs should the company produce?
Quantity (Q) Price per Chair (P) Total Cost (TC) 10 $90 $700 20 $80 $1250 30 $70 $1850 40 $60 $2500 The graph below represents a company's total profit as a function of the quantity of units it produces and sells. The vertical axis measures profit in dollars, and the horizontal axis measures the quantity of units. The profit curve starts at a negative value, increases to a single peak at a quantity of 500 units where profit is $10,000, and then decreases, crossing into negative profit (a loss) at a quantity of 900 units. Based on this graph, which of the following decisions should the company
A company facing a downward-sloping demand curve for its product will always maximize its profit by producing and selling the largest possible quantity for which the price per unit is still greater than the average cost per unit.
Profit Analysis for a Custom T-Shirt Business
A firm wants to find the quantity of output that will maximize its profit. The firm knows its total cost for producing any given quantity and has access to the market demand schedule, which shows the price it can charge for any quantity it wishes to sell. Arrange the following steps in the correct logical order to determine the profit-maximizing quantity.
A company's profit (π), in dollars, from producing and selling a certain good is given by the function π(Q) = -2Q² + 160Q - 2000, where Q is the quantity of goods sold. The company's production capacity is 100 units. To maximize its profit, how many units should the company produce and sell?
Critique of a Revenue Maximization Strategy
A local artisan sells custom-made wooden bowls. The table below shows the price the artisan can charge for different quantities and the total cost of producing those quantities. Calculate the total profit for each quantity level and match it to the correct quantity.
Quantity (Q) Price per Bowl (P) Total Cost (TC) 5 $50 $150 10 $45 $250 15 $40 $375 20 $35 $550 A company that manufactures custom phone cases is currently producing and selling 20 cases per day. The company is considering increasing its daily production to 30 cases. Using the demand and cost information provided in the table below, determine the effect this change in output would have on the company's daily profit.
Quantity (Q) Price per Case (P) Total Cost (TC) 10 $25 $180 20 $22 $280 30 $19 $350 40 $16 $450 Profit as Revenue Minus Total Cost
Figure 7.17: Profit Maximization for Beautiful Cars using Marginal Revenue and Marginal Cost Curves
Marginal Profit
Beautiful Cars' Profit Maximization at Point E (, , Profit = $329,600)
Deriving the Profit Function from the Demand Curve
Learn After
Artisanal Bakery's Profit Maximization
A firm faces the demand and cost conditions shown in the table below. Based on this data, which of the following statements best describes the firm's profit function (the relationship between quantity produced and profit)?
Quantity Price Total Cost 0 $10 $0 1 $9 $2 2 $8 $4 3 $7 $6 4 $6 $8 5 $5 $10 6 Calculating the Profit-Maximizing Output
A firm faces a standard downward-sloping linear demand curve and has total costs that increase as more units are produced. If the firm were to calculate its profit at every possible quantity along the demand curve and plot these profit values against the quantity, what would be the most likely shape of the resulting profit function graph?
A firm wants to find its profit-maximizing output by creating a profit function based on its demand curve. Arrange the following steps in the correct logical order to complete this process.
Evaluating a Simplistic Profit Strategy
A firm has calculated its total profit for every possible quantity it can sell and has plotted this relationship on a graph. If the firm is currently producing at a quantity where this profit graph is downward-sloping, it should increase its production to increase its total profit.
A firm has calculated its total profit for various levels of output and plotted this relationship on a graph with quantity on the horizontal axis and total profit on the vertical axis. Match each feature of the resulting profit function graph with its correct economic interpretation.
Maximizing Profit from a Function
Critique of a Revenue-Maximization Strategy
A firm faces a standard downward-sloping linear demand curve and has total costs that increase as more units are produced. If the firm were to calculate its profit at every possible quantity along the demand curve and plot these profit values against the quantity, what would be the most likely shape of the resulting profit function graph?