Suppose a firm engaged in the illegal copying of DVD’s has a daily short run total cost function given by: STC = (q^2)+25 If pirated DVD’s sell for $20, how many will the firm copy each day? What will its profits be? What is the firm’s short run producer surplus at P=20? Develop a general expression for this firm’s producer surplus as a function of the price of pirated DVD’s.
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Suppose a firm engaged in the illegal copying of DVD’s has a daily short run total cost function given by:
STC = (q^2)+25
- If pirated DVD’s sell for $20, how many will the firm copy each day? What will its profits be?
- What is the firm’s short run
producer surplus at P=20? - Develop a general expression for this firm’s producer surplus as a function of the
price of pirated DVD’s.
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- Your firm "We Work Eot U" rents access to shared open office spaces for a price of S540 per year. The market is perfectly competitive as consumers have many of these "We Work" rental companies to choose from. Your firm's total revenue function is written: TR = (540) Q. The total cost function is written: TC = 80,000+ 40Q + 0.5Q? a. To maximize profits, what is the optimal number of office spaces to rent? Show your work. b. How much (in dollars) are total profits at the profit-maximizing output level? Show your work. c. In the long run, assuming no barriers to entry and exit into this industry, what will happen to profits and to the market price?The following graph plots daily cost curves for a firm operating in the competitive market for demin overalls. Hint: Once you have positioned the rectangle on the graph, select a point to observe its coordinates. PRICE (Dollars per overalls) 50 10 10 5 0 MC 2 ATC 8 18 QUANTITY (Thousands of overallises per day) AVC 10 20 Profit or Loss In the short run, given a market price equal to $15 per overalls, the firm should produce a daily quantity of On the preceding graph, use the blue rectangle (circle symbols) to fill in the area that represents profit or loss of the firm given the market price of $15 and the quantity of production from your previous answer. Note: In the following question, enter a positive number regardless of whether the firm earns a profit or incurs a loss. The rectangular area represents a short-run thousand per day for the firm. $ overallses.This question deals with cost curves Keep in mind that the formula for a firm's cost function is: TC= FC + C(Q) TC → Total Costs: FC →Fixed Costs: C(Q) → Cost of production*Quantity produced → also known as Variable Costs Q1: Firms A and B are two firms supplying products in two separate differentiated goods markets. Equations (1) and (2) give the total cost functions of the two firms: - Firm A: TC = 2Q --- Equation (1) - Firm B: TC = 10 + 2Q --- Equation (2) Each firm has the ability to produce a maximum quantity of 80,000 units in ten batches of 8,000. The cost per unit in each firm is $2. Firm B has a fixed cost of $10. (a) Explain the relationship between the zero-profit curve and the marginal cost curve for the two firms using the quantity schedule of the two firms and the relevant plots of equations (1) and (2).
- 1. A company has the following average income (demand) curve: P=100-0.01Q. Where Q is weekly production and P is price, measured in cents per unit. The company's cost function is given by CT = 50Q + 30,000. Suppose the firm maximizes its profits.a) What is the level of production, the price and the total profit per week?b) The government decides to impose a tax of 10 cents per unit on this product. What would the level of output, price, and profit be as a result of this? CT(Total cost)The graph shows the Cost curves for a profit maximizing firm in a competitive market. If the market price is $30 and the firm produces at the profit maximum quantity, what is the amount of the total fix costFirm A and Firm B sell identical goods The total market demand is:Q(P) = 1,000-1.0P The inverse demand function is therefore: P(QM) = 10,000-10QM QM is total market production (i.e., combined production of firm’s A and B). That is: QM = QA + QB As a result, the inverse demand curve for each firm is: P(QA,QB) = 10,000-10QA-10QB The difference between this example and the example in class is that the two firms have different costs. Firm A has the same cost as in class, but firm B has a different cost function: TCA(QA) = 5000QA TCB(QB) = 5000QB Using the demand function and the cost functions above, what is firm A’s profit function? Using the profit function above and assuming that firm B produces QB, calculate what firm A’s best response is to firm B’s decision to produce QB. (Note: Firm A’s best response should be a function of QB) Using the demand function and the cost functions above, what is firm B’s profit function? Using the profit function above and assuming that firm A…
- For the pizza seller whose marginal, average variable, and average total cost curves are shown in the graph below, what is the profit-maximizing level of output and how much profit will this producer earn if the price of pizza is $1.50 per slice?Instructions: In the graph below, label all three curves by clicking on the dropdown to select the appropriate label. Instructions: Enter your response as a whole number. If you are entering a negative number, be sure to include a negative sign (−). When the price is $1.50 per slice, the profit-maximizing level of output is slices per day. Instructions: Enter your response rounded to the nearest penny (two decimal places). At the profit-maximizing level of output, the producer's profit is: $ per day.1. Emad is a lettuce supplier in a perfectly competitive lettuce market in Kuwait. If the demand for lettuce in Kuwait is given by: Qo = 40,000 – 10,000P, Where Q is the quantity of lettuce boxes and P is the price of a lettuce box. In the short-run, Emad's has the following total cost function for his production of lettuce: TCimad = 0.25Q +Q +3 Assume that Emad is one of 1000 sellers in the Kuwaiti lettuce market with identical costs. Answer the following questions: e. wnat is tne market suppiy tunction in the short-run? 1. What is the short-run equilibrium price and equilibrium quantity in this market? g. Draw a rough sketch of the market demand and supply functions, showing the optimal point and all intersections with the horizontal and vertical axes. h. What is the demand function for Emad's lettuce in the short-run?In competitive markets, there are many small firms with each firm unable to influence the market price. Suppose company ABX operates in the wheat market. The company produces and markets wheats at a Price = $20 per container. The firm’s total costs are given as: TC = 50 +2Q + 3Q2 What is the firm Fixed Cost? Why? Also, use a graph to support your answer
- Keep in mind that the formula for a firm's cost function is: TC = FC+ C(Q) TC → Total Costs: FC → Fixed Costs: C(Q) → Cost of production*Quantity produced → also known as Variable Costs Q3: Firms A and B are two firms supplying products in two separate differentiated goods markets. Equations (1) and (2) give the total cost functions of the two firms: - Firm A: TC = 2Q --- Equation (1) - Firm B: TC = 10 + 2Q --- Equation (2) Each firm has the ability to produce a maximum quantity of 80,000 units in ten batches of 8,000. The cost of production per unit for each firm is $2. Firm B has a fixed cost of $10. (a) Use the information given about firm A and appropriate diagrams/figures (hint:think isoprofit curves, demand curves) to explain how the equilibrium will change for firm A if it's cost of production falls by $1 Assume demand curves to be linearOn the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.2. A firm has a cost function of C = 1000+20Q + 1/10Q2 and has a demand function as shown in the graph below: 100 90 80 70 70 60 60 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 Quantity (Q) -P (demand) a) Estimate the firm's demand function. You may assume that the slope is a whole number, and the intercept is a multiple of 10. (1 mark) b) Find the firm's revenue function. You do not need to draw it. (2 marks) c) Find the marginal revenue function, and draw it on a copy of the graph. (3 marks) d) Find and draw the marginal cost function. (3 marks) e) Use your results from parts (c) and (d) to find the profit-maximising level of output. (3 marks) f) Find the market price at this level of output. (2 marks)
