R(x) In(7x + 7) Find the marginal revenue when 225 Blazing Blue snowmobiles are sold. a) R'(225) : Round to two decimals as needed. b) Interpret the answer from part (a): Revenue will Select an answer ♥| by $ for more snowmobile(s) sold when the number
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- Windies Cricket manufactures Windies supporter jerseys. The quantity q, of thes jerseys demanded weekly is related to the wholesale price per jersey p, by the following equation: p=-0.006q+15 The weekly total cost incurred by Windies Cricket for producing q jerseys is: C(q) = 38q-0.02q² + 30,000 a. Determine an expression to represent the weekly Revenue function.Problem 2:The Paradise Shoes Company has estimated its weekly TVC function from data collected over the past several months, as TVC = 3450 + 20Q + 0.008Q2 where TVC represents the total variable cost and Q represents pairs of shoes produced per week. And its demand equation is Q = 4100 – 25P. The company is currently producing 1,000 pairs of shoes weekly and is considering expanding its output to 1,200 pairs of shoes weekly. To do this, it will have to lease another shoe-making machine ($2,000 per week fixed payment until the lease period ends). Show all of your calculations and processes. Describe your answer for each item below in complete sentences, whenever it is necessary. Describe and derive an expression for the marginal cost (MC) curve. Describe and estimate the incremental costs of the extra 200 pairs per week (from 1,000 pairs to 1,200 pairs of shoes). What are the profit-maximizing price and output levels for Paradise Shoes? Describe and calculate the profit-maximizing…Problem 2:The Paradise Shoes Company has estimated its weekly TVC function from data collected over the past several months, as TVC = 3450 + 20Q + 0.008Q2 where TVC represents the total variable cost and Q represents pairs of shoes produced per week. And its demand equation is Q = 4100 – 25P. The company is currently producing 1,000 pairs of shoes weekly and is considering expanding its output to 1,200 pairs of shoes weekly. To do this, it will have to lease another shoe-making machine ($2,000 per week fixed payment until the lease period ends). What are the profit-maximizing price and output levels for Paradise Shoes? Describe and calculate the profit-maximizing price and output. Discuss whether or not Paradise Shoes should expand its output further beyond 1,200 pairs per week. State all assumptions and qualifications that underlie your recommendation. Show all of your calculations and processes. Describe your answer for each item below in complete sentences, whenever it is…
- Tesla estimates that its profit expressed in thousands of dollars each month is given by the expression: -6q^2 + 30q + 3210 where q (in thousands) is the number of cars produced and sold in a month. Determine the following: a. If Tesla's cost function is C(q) = 3210, state Tesla's variable cost per car. B.If Tesla wishes to make a profit greater than $2,910,000, calculate and state the interval of value(s) for which this goal can be achieved.Given the following total revenue (TR) and total cost (TC) functions for a firm, write down the firm’s profit function. Determine the level of output the firm should produce in order to maximize profits by using the first-order condition. Confirm that this quantity represents maximum profits by using the second-order condition.TR=4000Q−33Q2TC=2Q3−3Q2 +400Q+5000The Hickory Cabinet and Furniture Company makes chairs. The fixed cost per month of making chairs is $7,500, and the variable cost per chair is $40. Price is related to demand, according to the following linear equation: v = 400 - 1.2p Develop the nonlinear profit function for this company and determine the price that will maximize profit, the optimal volume, and the maximum profit per month.
- . An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.Answer B,C,D A firm can produce at most x = 2500 units per month, and their marginal cost function has been computed to be MC=1200+x , while the cost of producing and selling 30 units is $70,000. If their marginal revenue function has been computed to be MR=3500 , then find: The number of units of production resulting in maximum monthly profit The maximum monthly profit Associated fixed costs How many units does the firm need to manufacture and sell in order to break even?• Use the total cost (TC) schedule that is presented in the table below to determine the optimal rate of production when the firm can sell all of the output it produces at a price $8 per unit. Also determine the level of profit (or loss) that the firm will experience at this level of output.Q0123456789 TC 15 17 18 20 24 30 38 48 60 82
- TC=1000+10Q^2 .determine the output levels of the avarage total costPtarmigan Company produces two products. Product A has a contribution margin of $84.00 and requires 8 machine hours. Product B has a contribution margin of $133.90 and requires 13 machine hours. Determine the most profitable product assuming the machine hours are the constraint. If required, round your answers to two decimal places.Suppose a company has fixed costs of $32,000 and variable costs of 4/9x + 333 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 1365 − 5/9x dollars per unit Find the maximum revenue. (Round your answer to the nearest cent.)