Widget SalesJesaki Inc. is trying to enter the widget market. The research departmentestablished the following price-demand, cost, and revenue functions:p(x) = 60 1.20xPrice-demandfunctionCostfunctionC(x) = 210 + 12xR(x) = xp(x) = x(60 - 1.20x)where x is in thousands of widgets and C(x) and R(x) are in thousandsof dollars. The price p(x) is the price in dollars of one widget when thedemand is a thousand widgets. All three functions have domain1 ≤ x ≤ 50.Revenuefunction Use the Sales information above to answer this question.What is the largest number of widgets that can be produced and sold forJesaki Inc. to break even?widgets. Round to the nearest widget.

Answered: Image /qna-images/answer/e3fe2271-18e2-4874-8a23-6d0482f73f72.jpg

Answered: Widget Sales Jesaki Inc. is trying to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A piano manufacturer has a daily fixed cost of $1,800 and a marginal cost of $2,000 per piano. Find the cost C(x) of manufacturing x pianos in one day. C(x) = Use your function to answer the following questions. (a) On a given day, what is the cost of manufacturing three pianos?$ (b) What is the cost of manufacturing the third piano that day?$ (c) What is the cost of manufacturing the 11th piano that day?$ (d) What is the variable cost? $ What is the fixed cost?$ What is the marginal cost?$ per piano
A supply company charges for 50-gallon tanks using the demand function p(x) = 40 – 4.8x. What is the revenue function? Answer R(x) =
Your college newspaper, The Collegiate Investigator, has fixed production costs of $74 per edition and marginal printing and distribution costs of 41¢ per copy. The Collegiate Investigator sells for 61¢ per copy. (a) Write down the associated cost function C(x) in dollars. C(x) = 74 Write down the revenue function R(x) in dollars. R(x) = 61 = X Write down the profit function P(x) in dollars. P(x) = 926 X (b) What profit (or loss) results from the sale of 500 copies of The Collegiate Investigator? $926 X (c) How many copies should be sold in order to break even? 4 X copies
A contractor wants to rent a wood chipper from Acme Rental for a day for $143 plus $13 per hour or from Bell Rental for a day for $191 plus $9 per hour. Find a cost function in dollars for using each rental firm. (Let x be the number of hours for which the wood chipper is rented.) Acme C(x) = Bell C(x) = (a) Find the number of hours for which each cost function will give the same cost. hours(b) If the contractor wants to rent the wood chipper for 14 hours, which rental place will cost less? Acmecannot be determined Bellthey are the same
If R(x) represents the company's revenue when selling x items and C(x) represents the company's cost when producing x items. If R(x) = 2x2 - 60x and C(x) = 8050 - 420x, Find the company's profit function (P(x)) Evaluate P(x) when x = 200
A cardboard box manufacturer has decided to introduce a new and improved cardboard box. The set up cost for the production of this new line is $16,600 and the variable costs are $64 per ten thousand cardboard boxes. The company expects to sell ten thousand cardboard boxes for $151. Find a function P( x) for the total profit from the production and sale of x (in ten thousands) cardboard boxes. P(x) = 151x + 16600 P(x) =151x - 16600 P(x) = 87x + 16600 P(x) = 87x - 16600
A dinner concert is held in Salzburg to raise funds for a local music school. The event organiser pays $8,000 to rent a venue and $12,000 to hire the musicians, as well as an additional fee of $40 per concert-goer to cover the cost of food and drink. The tickets are sold at $200 each. (a) Define an appropriate variable x, and write down the cost function C(x) for the event organiser. (b) Write down the revenue function R(x) for the event organiser. (c) Find the number of concert-goers needed for the organiser to break even. (d) Find how many people must attend the concert for the organiser to realise a profit of $8,000.
A company can manufacture at most 200 units per month. About x units per month can be sold at the price p(x) = (500 – x) dollars and the cost of producing x units per week is C(x) = 150 + 4x + x2 dollars. Find; a. Revenue from sale of x units per week b. Maximum weekly profit and the number of units produced to obtain the maximum d. Marginal Revenue at Maximum weekly profit level c. Marginal cost functions at Maximum weekly profit level
A contractor wants to rent a wood chipper from Acme Rental for a day for $150 plus $11 per hour or from Bell Rental for a day for $172 plus $9 per hour. Find a cost function in dollars for using each rental firm. (Let x be the number of hours for which the wood chipper is rented.) Acme C(x) = Bell C(x) = (a) Find the number of hours for which each cost function will give the same cost. ____hours
please do #70
A piano manufacturer has a daily fixed cost of $1,700 and a marginal cost of $2,100 per piano. Find the cost C(x) of manufacturing x pianos in one day. C(x) = 2100 + 1700 X Use your function to answer the following questions. (a) On a given day, what is the cost of manufacturing three pianos? $8000 That's it! (b) What is the cost of manufacturing the third piano that day? $ 2100 Nicely done. (c) What is the cost of manufacturing the 11th piano that day? $ 2100 Excellent! (d) What is the variable cost? $ What is the fixed cost? $ What is the marginal cost? $ X per piano
A Midwestern factory has been studying their costs and estimates the total cost for an upcoming production run can be modeled by C(x) = 41000 + 80x + x³ dollars. The total revenue from the sale of x units is R(x) = 3680x dollars. Before they start production, they want to know if it will be worthwhile... That is, can they make money? (a) Find the profit function, (b) determine the level of production that will maximize profit, and (c) find the maximum profit possible according to this model. a) The profit function is P(x) = Round the production level to the nearest whole unit. b) The production level per week that results in the maximum profit is Use the whole number you entered above to compute the maximum profit. c) The maximum profit is $

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