The table below represents the demand for Widgets, Inc., which has a monopoly in the sale of widgets. Calculate total revenue and marginal revenue for the levels of output given. Draw the demand curve and the marginal revenue curve in a same graph.
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- The following graph shows the daily demand curve for bippitybops in Detroit. Use the green rectangle (triangle symbols) to compute total revenue at various prices along the demand curve. Note: You will not be graded on any changes made to this graph. PRICE (Dollars per bippitybop) OTAL REVENUE (Dollars) 2400 1600 100 90 1200 80 1000 70 800 60 50 40 30 20 2200 + 10 2000 + 1800 + 0 1400 + Calculate the daily total revenue when the market price is $90, $80, $70, $60, $50, $40, $30, and $20 per bippitybop. Then, use the green point (triangle symbol) to plot the daily total revenue against quantity corresponding to these market prices on the following graph. (?) 0 ** B Demand 80 10 20 30 40 50 60 70 QUANTITY (Bippitybops per day) 90 100 Total Revenue A ? Total Revenue11. Problems and Applications Q3 Johnny Rockabilly has just finished recording his latest CD. The company can produce the CD with no fixed cost and a variable cost of $18 per CD. His record company's marketing department determines that the demand for the CD is as follows: Complete the following table by computing total revenue for each quantity listed and marginal revenue for each 5,000 increase in the quantity sold. Price Total Revenue Marginal Revenue (Dollars) Number of CDs (Dollars) (Dollars) 30 10,000 28 15,000 26 20,000 24 25,000 22 30,000 20 35,000 Profit is maximized at a quantity of CDs and a price of This results in a profit of If you were Johnny's agent, you would advise Johnny to demand a recording fee of from the record company.Consider the daily demand for pizza at a local Italian restaurant, provided in the table below. The number of pizzas demanded at various prices in the table is also illustrated in the graph to the right. First, calculate the marginal revenue for selling pizza in the table. (Enter numeric responses using integers.) Quantity Price Total Revenue Marginal Revenue 0 $18 17 2 16 3 4 14 56 13 1724552 65432 0 32 56 65 Use the line drawing tool to graph the marginal revenue curve in the figure. Properly label this line. Carefully follow the instructions above, and only draw the required objects. Price (dollars per pizza) 20- 18- 16- 14 12- D 10- 8- 6- 4 2- 0+ 0 1 2 3 4 Quantity of Pizzas 5 6
- Consider the daily demand for pizza at a local Italian restaurant, provided in the table below. The nurmber of pizzas demanded at various prices in the table is also illustrated in the graph to the right. First, calculate the marginal revenue for selling pizza in the table. (Enter numeric responses using integers.) Quantity Price Total Revenue Marginal Revenue $19 1 18 18 17 34 3 16 48 15 60 14 70 13 78 Use the line drawing tool to graph the marginal revenue curve in the figure. Properly label this line. Carefully follow the instructions above, and only draw the required objects. 20- 18- 16 14- 12- 10 Quantity of Pizzas Price (dollars per pizza) 2.Assuming you are the managing director of a firm that produces three goods: A, Band C. The price elasticity of demand for A is 1.2, for B it is 1.00 and for C it is 0.75.It is known that he firm is experiencing serious cash flow problems and you have toincrease total revenue as soon as possible. If you were in a position to set the pricesfor these goods, what would be your pricing strategy for each product2. The Ice Cream Lovers Society decided to open up an ice cream stand during the summermonths. They calculated that it would cost them $0.80 to make a scoop of ice cream and$350 a month to operate the stand. They hired a research team who determined that theprice-demand function given in dollars isp x x ( ) = −8 0.02wherexis the number ofscoops sold.a. Find the revenue functionR x( )b. Find the value ofxthat produces the maximum revenue algebraically.c. Find the maximum revenue algebraically.d. Find the price per scoop of ice cream that produces the maximum revenuealgebraically.e. Find the cost functionC x( )that describes the monthly costs of operating the icecream stand.f. Find the break-even points to the nearest scoop algebraically usingR x( )andC x( ) .g. Find the profit functionP x( ).
- 6. Guy Rope and his backing group, the Tent Pegs, have just finished recording their latest music CD. Their record company's marketing department determines that the demand for the CD is as follows: Price (€) Number of CDs €24 10 000 22 20 000 20 30 000 18 40 000 16 50 000 14 60 000 The company can produce the CD with no fixed cost and a variable cost of €0.15 per CD. a. Find total revenue for quantity equal to 10 000, 20 000 and so on. What is the marginal revenue for each 10 000 increase in the quantity sold? b. What quantity of CDs would maximize profit? What would the price be? What would the profit be? c. If you were Guy Rope's agent, what recording fee would you advise Guy to demand from the record company? Why?2. The market for dark chocolate us characterized by Cournot duopolists - Honeydukes and Wonka industries. The market demand for dark chocolate is:P = 8 - 0.005Qdwhere P is the price per bar in dollars and Qd is dark chocolate's daily quantity demanded in bars (use qh to represent the quantity of dark chocolate sold by Honeydukes and qw to represent the quantity of dark chocolate sold by Wonka Industries). Honeydukes has a constant marginal cost of $2.50 per bar, while Wonka Industries has a constant marginal cost of $3.00 per bar. The firms move simultaneously in choosing their profit-maximizing quantity of output.a. Given the firms move simultaneously, what is the equation for Honeydukes' reaction function with qh expressed as a function of qw?b. Given the firms move simultaneously, what is the equation for Wonka's reaction function with qw expressed as a function of qh?c. What quantity of dark chocolate will each firm produce in equilibrium and what price will be established for a…The following graph represents a total revenue curve that is derived from a particular linear demand curve. If the seller will sell 5 units, his/her total revenue will be $ -------- units, where the price $--- 20 18 16 14 12 10 TR Total Revenue 4 2
- 3. Problems and Applications Q3 Johnny Rockabilly has just finished recording his latest CD. The company can produce the CD with no fixed cost and a variable cost of $7 per CD. His record company's marketing department determines that the demand for the CD is as follows: Complete the following table by computing total revenue for each quantity listed and marginal revenue for each 1,000 increase in the quantity sold. Marginal Revenue (Dollars) Price Total Revenue (Dollars) Number of CDs (Dollars) 25 12,000 24 13,000 23 14,000 22 15,000 21 16,000 20 17,000 Profit is maximized at a quantity of CDs and a price of This results in a profit of S If you were Johnny's agent, you would advise Johnny to demand a recording fee of from the record company.9. Problems and Applications Q3 Johnny Rockabilly has just finished recording his latest CD. His record company can produce the CD with no fixed cost and a variable cost of $5 per CD. The company's marketing department determines that the demand for the CD is as follows: Complete the following table by computing total revenue for each quantity listed and marginal revenue for each 10,000 increase in the quantity sold. Marginal Revenue (Dollars) Price (Dollars) 24 22 20 18 16 14 Number of CDs 10,000 20,000 30,000 40,000 50,000 60,000 Total Revenue (Dollars) AAAAA Profit is maximized at a quantity of 40,000 CDs and a price of $18 This results in a profit of If you were Johnny's agent, you would advise Johnny to demand a recording fee of $700,000 from the record company.Consider the following table representing the market for a new PC game 'Fortnightly'. This game is produced exclusively by a software company called ECF1100 Pty Ltd, thanks to an exclusive copyright having been obtained by lobbying the government minister for industry and development - Mr Eco Stuff. Quantity of Price games 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 12000 $200 $190 $180 $170 $160 $150 $140 $130 $120 $110 $100 $90 $80 Total cost $0 $50,000 $100,000 $150,000 $200,000 $250,000 $300,000 $350,000 $400,000 $450,000 $500,000 $550,000 $600,000 a) Using the table above roughly illustrate what the market demand, MC, ATC, and MR functions would look like (you must show the XY intercepts of the MR function b) Considering the 'monopoly' position, estimate what will be the equilibrium quantity and price of 'Fortnightly' games might be using the table provided earlier c) Using the data in the table provided earlier, how much would a firm be willing to spend in lobbying…