Suppose it costs c(x) = x³ – 6x? + 15x dollars to produce x radiators when 8 to 10 radiators are produced, and that r(x) = x – 3x2 + 12x gives the dollar revenue from selling x radiators. Your shop currently produces 10 radiators a day. Find the marginal cost and marginal revenue.
Q: Nana sells homemade yoghurt tubs at 75 pesos per tub. Suppose x bottles of sanitizer are produced…
A:
Q: Suppose an avocado farm has cost: C = 0.002q3 + 22q + 750 (where q is measured in bushels).…
A: Given an avocado farm: C = 0.002q3 + 22q + 750 .... (1) Marginal cost: MC=0.006q2+22 ... (1)…
Q: marginal profit is $30 and marginal revenue is $84 Calculate marginal cost
A: The given information is as follows:- Marginal profit= $30 Marginal revenue = $84 We need to find…
Q: Consider a firm with the total cost function given by TC(Q) = 2Q² + 100. Choose all the correct…
A: Formula:- Marginal Utility=dTCdQAverage Utility=TCQwhere;TC= Total UtilityQ= Quantity
Q: ATC MC MR Quantity of cherries %24
A: Under perfect competition firms are price takers. The optimum level of output of a perfectly…
Q: Bob's lawn-mowing service is a profit-maximizing, competitive firm. Bob mows lawns for $30 each. His…
A: In the short run at least one input is fixed whereas in the long run there is no fixed cost.
Q: If marginal profit is negative what information can you infer about marginal cost and marginal…
A: Marginal profit is given as :- Marginal profit = Marginal revenue - Marginal cost It's given that…
Q: Assume you have decided to buy an advertisement in the local newspaper to publicize your new pet…
A: It is given that, the total cost of ad is $1, 000, the total fixed cost for each dog is $40, and the…
Q: (a) The revenue from selling q items is R(q) = 50q - q 2 and the total cost is C(q) = 15 + 10q i.…
A: Given: R(q) = 50q - q2C(q) = 15 + 10q (i) Fixed cost is that component of total cost function that…
Q: Refer to the figure below. If the firm is producing the level of output that maximizes profit, its…
A: Answer: To find= total variable cost at the equilibrium. Equilibrium is a point where Marginal cost…
Q: Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: When marginal revenue equals marginal cost, the firm may be minimizing its losses, rather than…
A: The equilibrium condition for a perfectly competitive firm is given by - MR = MC For this level of…
Q: Suppose that the marginal revenue for a product is MR = 900 and the marginal cost is MC = 33,(x+9),…
A: Given Marginal revenue = 900 Marginal cost = 33√(x+9) X = 5units. Profit(π) = Total revenue- Total…
Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x; R(x) = x³ + 5x +…
A: Marginal cost is the additional cost incurred by a firm by producing one extra unit and the…
Q: 1. Diminishing returns happen when the firm adds more amount of a variable input, it should also…
A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…
Q: A company is the sole producer of holographic TVs. The daily demand for these TVs is Q=10,200 -…
A: A company is the sole producer of holographic TVs. The daily demand for these TVs is…
Q: Determine the output level that will maximize economic profit.
A: Economic profit is the difference between the sum of explicit and opportunity costs from the revenue…
Q: When x gallons of olive oil are produced, the profit function is given by P(x) = 2x – 1000 (i) Find…
A: According to the question, profit function is given as P(x) = 2x – 1000 – x^2/5000 i) For the…
Q: Linda sells 100 bottles of homemade ketchup for $10 each. The cost of the ingredients, the bottles,…
A: Since you have asked multiple questions, we would answer the first question for you. If you need the…
Q: A sells one of its products for $48 each. The monthly fixed costs are $3000. The marginal cost of…
A: Total cost is the total expenditure done by the producer in the production process. There are two…
Q: Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x…
A: Given information P= 90cent =$.9 C=50+.10X+.001X2
Q: Diane owns a store that sells computers. Her profit, in dollars, is represented by the function P(x)…
A: Answer a) Given P(x) = x3 - 22x2 - 240x
Q: Suppose the average total cost (ATC) of a firm is given as 4 ATC = Q +- Find the output(Q) that…
A: Sine you have posted multiple question, as per guideline, we are supposed to solve first question…
Q: A car wash service 'Clean and Shine' is a small business operating in the short run in a perfectly…
A: A car wash service 'Clean and Shine' is a small business operating in the short run in a perfectly…
Q: The marginal revenue (MR) the individual producer receives when it maximizes its profit is $…
A: Marginal cost is the additional cost of producing one more unit of a good. Marginal revenue is the…
Q: referring to the graph above, the profit-maximizing quantity is a. 7 b. more than 10 c. 10 d. 0
A: Profit maximizing quantity is such a quantity where marginal revenue is equal to marginal cost.
Q: Should a company produce more goods when marginal revenue is greater than marginal costs? Explain.
A: Marginal Cost is the additional cost incurred in the production of additional unit of output.…
Q: Can the given Marginal revenue be negative ? True or false
A: According to the given question It is the amount of the marginal revenue which usually whatever will…
Q: If marginal profit is $17 and marginal revenue is $41 Find the value of Marginal cost
A: The given information is as follows:- Marginal profit = $17 Marginal revenue = $41 We have to…
Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2; R(x) = x3 + 5x…
A: The marginal cost function is 8x The marginal revenue function is 3x2+5 The marginal profit function…
Q: a company's marginal revenue is greater than its marginal cost, then the company should
A: Marginal revenue is the additional revenue earned when an extra unit is sold.
Q: Suppose Caroline runs a small business that manufactures shirts. Assume that the market for shirts…
A: In a competitive market firm is a price taker , and equilibrium point is acheived where MR = P = MC…
Q: Calculate Marginal profit given that marginal revenue is two times that of marginal cost
A: The given information is as follows:- Marginal revenue is two times that of total cost i.e MR = 2 MC…
Q: Suppose that the marginal revenue for a product is MR=775 and the marginal cost is MC39sqrt(x+1),…
A: Given, Marginal revenue =MR = 775 Marginal cost = MC =39x+1 Fixed cost = $906 Output = x = 3 units…
Q: MC ATC MR
A: In a perfectly competitive market, there are a large number of firms producing similar and identical…
Q: Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x…
A: C (x) = 10 + 0.10x +0.001x2 Price = 90 cents Total Revenue (TR) = Price * Quantity TR = 0.90 x
Q: After a campus pub increases its output from 3 kegs of beer per day to 11 kegs of beer per day, its…
A: [a] Marginal resource cost [MRC] = $[550-135]/[11-3]…
Q: Suppose a price taking firm has a cost function C = 7+1.5q*+3q, and takes price of p = 30. What is…
A: perfect competition firm also known as the price-taking firms.
Q: Comment why is this point significant analytically.
A: Marginal cost is defined as the change in total cost that results from the production of an…
Q: Suppose an avocado farm has cost C= 0.004q + 28q + 1250, (where q is measured in bushels) and the…
A: A competitive market consist of large number of small firms and industry that determines price…
Q: Why is it reasonable to think of normal profit as a type of cost to the firm?
A: In the short run, firms usually try to temporarily shut down their operations when the prices are…
Q: Can the firm's marginal revenue really be negative? Why?
A: Marginal revenue is the additional revenue that occurs from the sale of one additional unit of the…
Q: Suppose a firm can sell one unit of product for $50, two units for $45 each, three units for $40…
A: Total revenue is revenue earned by seller by selling the quantity at particular price , so TR=P x Q…
Q: Calculate the marginal profit when marginal revenue is $84,000 and marginal cost is $77,000
A: # Marginal profit is always given by the difference between marginal revenue and marginal cost. That…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Suppose that the marginal revenue for a product is MR = 775 and the marginal cost is MC = 39 times sq. root of x+1, with a fixed cost of $906. Find the profit function, then find the profit or loss fromthe production and sale of 3 units.__________________________________________________Suppose that the marginal revenue for a product is MR=775 and the marginal cost is MC39sqrt(x+1), with a fixed cost of$906.00 Find the profit or loss from the production and sale of 3 units.It costs a coat manufacturer $8750 to make 125 coats and it costs $6500 to make 80 coats. Each coat is sold for $250. a. How much is the marginal cost? Round to two decimal places if rounding is necessary. Do not enter a fraction. There is a $ sign next to the answer box, so do not type a $ sign in your answer. Only type a number (do not type any units on your answer). $ b. What is the slope of the Profit function, P(x)? Round to two decimal places if rounding is necessary. Do not enter a fraction. There is a $ sign next to the answer box, so do not type a $ sign in your answer. Only type a number (do not type any units on your answer). $ c. How many coats must be sold in order to break even? Round to the nearest whole number if rounding is necessary. Do not enter a fraction. Only type a whole number (do not type any units on your answer).
- Assume that a firm’s marginal revenue curve intersects the rising portion of its marginal cost curve at 500 units of output. At this output level, a profit-maximizing firm’s total cost of production is $1,000. If the price of the product is $5 per unit, the total revenue earned by the firm will be:Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 70 + 0.10x + 0.001x2 dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.] R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. revenue $ profit $ marginal revenue $ per additional copy marginal profit $ per additional copy Interpret the results. The approximate from the sale of the 501st copy is $ . (c) For which value of x is the marginal profit zero?x = copiesInterpret your answer. The graph of the profit function is a parabola with a vertex at x = , so the profit is at a maximum when you produce and sell copies.Sergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.
- in which of the following statement is true? (choose one letter only) a. the Marginal Revenue is the approximate revenue from the production and sale of the x+1 unit after x units have been sold.b. the Marginal Cost is the approximate cost of producing the x−1 unit before x units have been produced. c. the Marginal Profit is the profit from the production and sale of the xth unit. d. All of these e. none of the above(29. At 100 output, marginal revenue is less than marginal cost) True False 30. In relation to question number 29, producer should produce more up to 440. True FalseShowing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down? Answer all questions neatly please
- Rasiah's Garden of fruit is a firm selling fruits in a perfectly competitive market. Total fixed cost is RM50, and the wage for labour is RM5 per worker. The estimated output produced and cost are as follows: Labour Output (Kg of fruits) usage 0. 0. 8. 10 12 20 17 30 24 40 33 50 44 60 57 70 Calculate the total variable cost, average total cost, average variable cost, marginal cost, total revenue and marginal revenue. b. If Rasiah's garden of Fruits sells a kilo of fruit for RM3.50, how many Kg of fruit (output) should the firm sell in order to maximise profits, and how much profits would the firm make?If the Marginal Cost for a product is found to be MC= 8x+60 , and the Marginal Revenue is given as MR= 1200 and the cost of 8 units is found to be $1600, what are: the Total Costs? the Fixed Costs? the Total Profit? the production level, x, that yields Maximum Profit? the corresponding Maximum Profit?When you calculate marginal costs, they should include: SELECT THE CORRECT ANSWER A.the market price of the product. B.only variable costs. C.both the variable and fixed costs. D.only fixed costs.