2. A Hawkeye has total cost and total revenue equations, but cannot figure out what the firm should do, Use your knowledge of profit-maximization to find the profit-maximizing quantity (X), the Total Revenue at that quantity, the Total Cost at that quantity, and the maximum profits earned. Total Cost X+4*X2 +100*X+100 Total Revenue --X2+500*X Profit-maximizing Quantity = Total Revenue at Profit-maximizing Quantity= Total Cost at Profit-maximizing Quantity= Maximum Profit Earned: =
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- Assume that the most efficient production technology available for making vitamin pills has the cost structure given in the following table. Note that output is measured as the number of bottles of vitamins produced per day and that costs include a normal profit. Output TC MC ATC 50,800 $170,000 $0.60 100,800 220,000 1.10 150,800 257,500 1.71 200,800 365,500 2.45 Instructions: Enter your answers rounded to two decimal places. a. What is ATC per unit for each level of output listed in the table? Enter your answers in the table above. b. Are there economies of scale in production? Yes c. Suppose that the market price for a bottle of vitamins is $1.71. At that price the total market quantity demanded is 301,600,000 bottles. How many firms will be in this industry? firm(s) d. Suppose that, instead, the market quantity demanded at a price of $1.71 is only 150,800. How many firms will be in this industry? firm(s) e. Review your answers to parts b, c, and d. Does the level of demand determine…Calculate Iyana's marginal revenue and marginal cost for the first seven rompers they produce, and plot them on the following graph. Use the blue points (circle symbol) to plot marginal revenue and the orange points (square symbol) to plot marginal cost at each quantity. COSTS AND REVENUE (Dollars per romper) 40 35 30 25 20 15 10 0 0 1 2 3 4 5 6 7 8 QUANTITY (Rompers) Marginal Revenue Marginal Cost ? Iyana's profit is maximized when they produce a total of is $ , an amount rompers. At this quantity, the marginal cost of the final romper they produce than the price received for each romper they sell. At this point, the marginal cost of producing one more romper (the first romper beyond the profit maximizing quantity) is $ , an amount than the price received for each romper they sell. Therefore, Iyana's profit-maximizing quantity occurs at the point of intersection between the Because Iyana is a price taker, the previous condition is equivalent to curves.The next 6 questions relate to the following table. Calculate total revenue at a quantity of 5 units. (The table gives you Quantity, Price, and Total Costs, leaving the Total Revenue and Profit for you to calculate.) Quantity Price Total Revenue Total Cost Profit 0 70 0 1 70 60 2 70 120 3 70 180 4 70 300 5 70 410 Calculate profit at an output of 4 units. What is the highest profit possible? What is the profit maximizing level of output What is the profit maximizing price? Can you tell if this is the short run or long run? Explain.
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- Happy Go Lucky Electric Company is the only company providing electric power to the city of Go Lucky. The accompanying graph depicts their marginal costs (MC), total costs (ATC), demand (D), and marginal average t revenue (MR). Move point E to the firm's profit maximizing price and quantity. At the profit maximizing point, what is Happy Go Lucky level of profit? 0 $150 $90 -$30 Price and Costs ($/unit) 10 9 8 7 6 10 4 3 2 1 0 0 5 10 15 20 25 30 35 MR MC 0 ATC D 40 45 50Problem-3: Consider total cost and total revenue given in the following table. Quantity Total Cost Total Revenue 0 $15 0 1 20 8 2 29 26 3 39 50 4 50 65 5 64 79 6 80 92 7 95 100 Calculate profit, marginal revenue, marginal cost for each quantity? How much should the firm produce to maximise profit?.Quantity Price Total Fixed Costs Variale Cost Total Costs Average Variable Costs Average Total Cost Marginal Cost Total Revenue Marginal Revenue 0 35 25 0 1 35 25 20 2 35 25 25 3 35 25 35 4 35 25 52 5 35 25 80 If this firm produces a quantity of zero units, what is the total profits? What is the firm's marginal cost at a production level of two units? What is the average variable cost at a production level of five units? This firm becomes profitable producing at a quantity of ___ units. The average total cost is smallest at which level of production? At what quantity should this firm produce to maximize their profits based on your calculations? The total costs to produce four units is __________ while the average total cost to produce four units is _________.
- 4. Profit maximization using total cost and total revenue curves Suppose Sharon runs a small business that manufactures shirts. Assume that the market for shirts is a price-taker market, and the market price is $10 per shirt. The following graph shows Sharon's total cost curve. Use the blue points (circle symbol) to plot total revenue, and the green points (triangle symbol) to plot profit for the first seven shirts that Sharon produces, including zero shirts. 125 T 100 75 0 -50 30 20 15 0 1 0 2 1 3 4 5 QUANTITY (Shirts) 2 Calculate Sharon's marginal revenue and marginal cost for the first seven shirts she produces, and plot them on the following graph. Use the blue points (circle symbol) to plot marginal revenue and the orange points (square symbol) to plot marginal cost. 3 5 QUANTITY (Shirts) 4 П 6 Total Cost ☐ 6 7 -O 8 Sharon's profit is maximized when she produces which is than would maximize her profit) is $, which is maximizing quantity corresponds to the Intersection of the last…Fill in the blanks using information in the following table: Output per day Price ($) Total Costs ($) 0 80 40 1 75 45 2 70 48 3 65 56 4 60 66 5 55 88 6 50 143 7 45 223 8 40 423 The amount of total profits is maximized when the firm produces _ units of output. At that output level, marginal revenue is $_, average revenue is $_, and the amount of profits is $_.3. Johnny Rockabilly has just finished recording his latest CD. His 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 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 $5 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 be the price? What would be the profit? c. If you were Johnny's agent, what recording fee would you advise Johnny to demand from the record company? Why?