Your college newspaper, The Collegiate Investigator, has fixed production costs of $72 per edition and marginal printing and distribution costs of 39¢ per copy. The Collegiate Investigator sells for 59¢per copy.(a) Write down the associated cost function C(x) in dollars.C(x) =Write down the revenue function R(x) in dollars.R(x) =Write down the profit function P(x) in dollars.P(x) =(b) What profit (or loss) results from the sale of 500 copies of The Collegiate Investigator?$(c) How many copies should be sold in order to break even?copies

It is given that the newspaper has a fixed production cost of $72 per edition and a marginal…

Answered: Your college newspaper, The Collegiate…

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 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. Find the average cost function for ? televisions produced. B. Find the instantaneous rate of change of the average cost function.
If x represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (c) state the profit function, (d) determine analytically how many items must be produced before a profit is realized (assume whole numbers of items), and (e) support the results of part (d) graphically. The fixed cost is $600, the cost to produce an item is $25, and the selling price of the item is $50. (a) The cost function is C(x) = (Simplify your answer. Do not factor.) (b) The revenue function is R(x)= (Simplify your answer. Do not factor.) (c) The profit function is P(x) = (Simplify your answer. Do not factor.) ← (d) At least items must be produced before a profit is shown. (Type a whole number.) (e) Choose the correct graph to the right. O A. 2100 O C. Dollars Items produced 2100 Items produced Q O B. 2100 O D. Dollars 2100 Items produced Items produced Q ✔
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 $
Your college newspaper, The Collegiate Investigator, has fixed production costs of $72 per edition and marginal printing and distribution costs of 39¢ per copy. The Collegiate Investigator sells for 49¢ per copy. (a) Write down the associated cost function C(x) in dollars. C(x) = Write down the revenue function R(x) in dollars. R(x) = Write down the profit function P(x) in dollars. P(x) = (b) What profit (or loss) results from the sale of 500 copies of The Collegiate Investigator? $ (c) How many copies should be sold in order to break even? copies

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