A. Express the price p as a function of the demand x, and find the domain of this function. B. Find the marginal Revenue at a production level of 1500 and interpret the result c. Sketch a graph of Revenue and Cost functions. Indicate interval in which Profit occurs and loss occurs.
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A: We are going to use Single variable maximisation method to answer this question.
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A: We are going to solve this problem using single variable maximisation technique.
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A: The change in total revenue (TR) with more unit of output in termed as marginal revenue (MR).
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A: Total cost (TC): - it is the sum of fixed and variable costs incurred in the production process.…
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A: Disclaimer :- As you posted multipart questions we are supposed to solve the first 3 questions only…
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A: Profit is maximized when P = MC = $10, with Q = 20.
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A: We will answer the first question since the exact one was not specified. Please submit a new…
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A: Disclaimer: “Since you have asked multiple questions, we will solve the first three questions for…
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A: We are going to solve this question using single variable maximisation method.
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A: We will answer the first question since the exact one was not specified. Please submit a new…
Q: A demand curve is given by p = 660-3x. Assume you must pay salaries totalling 8000$ in a month.…
A: We are going to use single variable profit maximisation method to answer this question.
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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
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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…1.The price p in dollars of a certain commodity and the quantity x sold obey the demand equation p= -1/5x + 200 where 0<=x <=1000. Suppose that the cost C in dollars of producing x units is C= the square root of x divided by 10 + 400. Assuming that all items produced are sold, find the cost of c as a function of the price p.A manufacturer knows that: His TR is given by Revenue = 23Q – Q2 His total cost of production is; Cost = 36 + 2Q + 0.1Q2 Where Q is the weekly production in thousands a) Economists define MR as the rate of change of Total revenue. Derive an expression for Marginal Revenue (MR) b) How do you think Economists’ would define ‘Marginal Cost’? Derive an expression for marginal Cost (MC) c) What output will make marginal Revenue equal Marginal cost?
- A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit functionA manufacturer knows that: His TR is given by Revenue = 23Q – Q2 /4 His total cost of production is; Cost = 36 + 2Q + 0.1Q2 Where Q is the weekly production in thousands a) Economists define MR as the rate of change of Total revenue. Derive an expression for Marginal Revenue (MR) b) How do you think Economists’ would define ‘Marginal Cost’? Derive an expression for marginal Cost (MC) and at what output will make marginal Revenue equal Marginal cost? c) Find the total profit and the value of Q that maximizes profitA7 You are the manager of a bakery that produces and packages gourmet muffins, and you currently sell muffins in packages of 3. A consultant’s report has estimated the (inverse) demand of a typical consumer to: P = 3 − 0.5Q If your cost of producing bran muffins is C(Q) = Q: (a) What is the marginal cost of muffins? (b) Draw the demand and marginal cost on a diagram. (c) Determine the optimal number of muffins to sell in a single package. (d) What price should the firm charge for each park?
- |1.6.1 A company manufactures and sells x dellphones per week. The weekly price-demand and cost equations are given below. p= 400 - 0.5x and C(x) = 20,000 + 140x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly profit is $ (Round to the nearest cent as needed.)The accompanying graph shows the short-run demand and cost situation for a price searcher in a market with low barriers to entry. Price (dollars) 24 10 V ATC The firm will receive $ MR Quantity/time The firm will maximize its profit at a quantity of▼ units. D Options: 6, 8, 9, or 10 After choosing the profit maximizing quantity, the firm will charge a price of in revenue at the profit-maximizing quantity. The total cost of production for this profit-maximizing quantity is $ The maximum profit the firm can earn in this situation is How will the situation change over time? Options: 6,8 10, or 24 per unit for this output. O Profits will attract rival firms into the market until the profit-maximizing price falls to the level of per-unit cost. O The market will adjust until the price charged by this firm no longer exceeds marginal cost at the profit-maximizing quantity. O This market is already in long-run equilibrium, and will not change throughout time. O Losses will induce firms to leave…On 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_________.
- The table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs Quantity MC АТС of Ear Buds ($) ($) 9.00 - 10 2.00 5.50 15 2.44 4.48 20 3.56 4.25 25 4.50 4.30 30 5.02 4.42 35 5.96 4.64 40 8.56 5.13 Instructions: In part a, enter your answer as the closest given whole number. In parts b-d, round your answers to two decimal places. a. If Buddies wants to maximize profits, how many pairs of ear buds should it produce each week? pairs b. At the profit-maximizing quantity, what is the total cost of producing ear buds? c. If the market price for ear buds is $6 per pair, and Buddies produces the profit-maximizing quantity of ear buds, what will Buddies profit or loss be per week? 2$ d. Now assume the market price is $5.50 per pair, and Buddies produces the…A flour mill buys its wheat from two different farms, then processes the wheat into flour. Wheat from Farm X costs the mill $7 per bushel, and wheat from Farm Y costs the mill $15 per bushel. The selling price (in dollars per bushel) for the mill's wheat can be modeled by p(x, y) = 500 x y where x is the demand for the flour milled from Farm X's wheat and y is the demand for flour milled from Farm Y's wheat. Assume that x and y may be zero (so the mill only buys from one of the suppliers) and that the mill can by 1/2 of a bushel. Then the maximum profit is attained when x = y = bushels bushels The amount of the flour mill's maximum profit is $Marginal cost is given by the function :- 2Q2 - 130 And the equilibrium quantity is 10 so calculate the marginal cost.