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- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…Kasey Puzzle, Inc. sells geography-based puzzles. Kasey currently sells 25,000 units a month for $40 each, has variable costs of $20 per unit, and fixed costs of $300,000. Kasey Puzzle is considering increasing the price of its units to $60 per unit. This will not affect costs, but demand is expected to drop 20%. Should Kasey Puzzle increase the price of its product? с Multiple Choice O O Yes, profit will increase $500,000. No, profit will decrease $500,000. No, profit will decrease $300,000. Yes; profit will increase $300,000.The figure shows a bakery's marginal and average cost curves, and its isoprofit curves. The bakery is a price-taker in a large bread market. Suppose the current market price is P₁. Based on this information, which of the following statements is correct? Price, Cost €6 (5 20 40 60 80 Quantity MC hoprofits AC 100 120 140 160 180 number of loaves Select one or more: a. The bakery would be better off raising its price up to its AC level. O b. The bakery would be minimising its loss at A. Oc. If the bakery is not yet in the market then it would not enter the market. d. If the bakery is already in the market, then it would always immediately exit the market because it is making a loss.
- Maria manages a bakery, that specializes in ciabatta bread, and has the following information on demand and costs: Ciabatta Bread Sold Price Per Hour (Q) (P) 0 $6.00 1 5.50 2 5.00 3 4.50 4 4.00 5 3.50 6 3.00 7 2.50 8 2.00 Total Cost (TC) $2.00 6.50 10.00 13.00 15.50 17.50 19.00 21.00 24.00 loaves of ciabatta bread per hour. (Enter your response as an integer.) a. To maximize profits, Maria should sell Maria should charge a price of $ Maria's maximum profit is $ (Enter your response rounded to two decimal places.) (Enter your response rounded to two decimal places.) (Enter your b. The marginal revenue when selling the profit-maximizing number of loaves of ciabatta bread is $ response rounded to two decimal places.) The marginal cost when selling the profit-maximizing number of loaves of ciabatta bread is $. (Enter your response rounded to two decimal places.)V See Hint Suppose that Juan sells burritos. The total cost of production, based on the number of burritos produced, is shown in the following table. Number of burritos Total cost ($) 1. 8) 2. 10 3) 13 4. 18 25 34 7. 45 Suppose that the price is $6. Assuming profit maximization, how many burritos will Juan sell? asopdne(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40 – 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Problem з
- Maria manages a bakery, that specializes in ciabatta bread, and has the following information on demand and costs: Ciabatta Bread Sold Price (P) Per Hour (Q) 0 123 456 7 8 $6.00 5.50 5.00 4.50 4.00 3.50 3.00 2.50 2.00 Total Cost (TC) $2.00 6.00 9.00 11.50 13.50 15.00 16.00 17.50 20.00 loaves of ciabatta bread per hour. (Enter your response as an integer.) a. To maximize profits, Maria should sell Maria should charge a price of $ (Enter your response rounded to two decimal places.) Maria's maximum profit is $ (Enter your response rounded to two decimal places.) b. The marginal revenue when selling the profit-maximizing number of loaves of ciabatta bread is $ (Enter your response rounded to two decimal places.) The marginal cost when selling the profit-maximizing number of loaves of ciabatta bread is $. (Enter your response rounded to two decimal places.)ATC Price MC AVC 8 4 10 11 12 13 Quantity The graph shows the cost curves of a firm in a competitive industry. Assume that all frms in the industry have identical cost curves. The price in this market in the long run is S K 11/21 > o SUBMIT ANSWER 8OF 21QUESTIONS COMPLETED MacBook Pro(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p 40 – 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (1) Write an equation giving profit as a function of the number of lightweight compasses produced. (11) At the moment the company produces 2 million lightweight compasses and makes a pre of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Σ BIUG G |卡 三 = 9 ..
- a lobaster catch is sold by a fisher at $15 per kilogram the lobster fisher has the following total costs at each possible quantity $1500 at 0 kiklograms ,$3200 at 800 kilograms and $12200 at 1000 kilograms a) creat a table with following 10 coloumns :1 ) price 2) quantity 3) total revenue 4) fixed cost 5) variable cost 6) total cost 7) average fixed cost 8) average variable cost 9) average cost and 10) marginal cost .fill in this table based on the information provided in the question b) Draw the fishers marginal revenue ,marginal cost and average cost curves on graph ,plot only the two endpoints at 0 and 1000 kilograms for the marginal revenue curve and plot five points for each of the marginal cost and average cost curves for a total of 12 points (exclude the origin point for both costcurves) remember to plot marginal values such as marginal cost halfway between the two relevant quantities on the horizantal axis c) what is the fishers profit -maximizing or loss -mininmizing quantity…JYour business has the capacity to produce up to 5 units/week. The table & graph below show average cost (AC) for different weekly production levels. Your objective is to maximize profit each week. Average Cost 22 20 AC 18 1 20 14 2 15 12 3 12 10 1 2 4 4 13 Quantity 15 Your product sells in the market for $21/unit, and you can sell as many units at that price as you can bring to market. You know from your economics training that deciding how much to produce should rely on marginal concepts like marginal cost (MC). So, based on the AC table above, create a table that shows the MC of each unit. (Assume that there are no fixed costs, so total costs are zero if Q=0.) Based on MC for each unit, determine the profit-maximizing quantity to produce and sell. BRIEFLY explain your answer. (Your answer needs to be based on MC and being able to sell each unit for $21.) AC ($/unit)X 1 ences If the price of oats is $3.0 per kilo, calculate the total revenue and the total profit (or loss) at the quantities shown in below table. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. Leave no cells blank - be certain to enter "0" wherever required. Mc Graw Hill Quantity (kilos) Total revenue Total cost Total profit $ 600 1800 $1,900 700 2100 $2,000 $ 800 2400 $2,400