Raggs, Ltd., a clothing firm, determines that in order to sell x suits,the price per suit must be p = 320.5x. It also determines that thetotal cost of producing x suits is given by C(x) = 5000+.3x².a) Find the total revenueb) Find the total profitc) How many suits must the company produce and sellin order to maximize profit?d) What is the maximum profit?e) What price per suit must be charged in order tomaximize profit?

Answered: Image /qna-images/answer/252d1dbf-8372-49ab-9ea2-5f123abb19a6.jpg

Answered: Raggs, Ltd., a clothing firm,…

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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It costs Joanna $17,000 to open her new shoe store and then $23 for each pair of shoes she stocks. Joanna decides to charge her customers $45 per pair of shoes. a) What is her Cost Function? b) What is her Revenue Function? c) What is her Profit Function? d) What is her Break-Even Point? (a) Joanna's Cost Function is C(x) = (Do not include the $ symbol in your answer.) (b) Joanna's Revenue Function is R(x) = . (Do not include the $ symbol in your answer.) (c) Joanna's Profit Function is P(x) = (Simplify your answer. Do not include the $ symbol in your answer.) (d) Joanna's Break-Even Point is pairs of shoes. (Type a whole number.)
A furniture manufacturer is producing tables that they are selling for $225. Their monthly fixed costs are 12000. For each table they produce, they need $70 in material and $55 in labor.a) express the total costs as a function of the number of tables manufactured.b) How many tables do they need to manufacture to make a profit of $2,000? c) How many tables do they need to manufacture in order for them to breakeven? Answer text
The yearly profit, "P" of your store can be estimated by the function P(n)=15n-45,000 where "n" is the number of items you sell per year, and P is measured in dollars. A) what is your estimated profit if you sell 5,280 items this year? B) Estimate the number of items you must sell to make $150,000 profit? C) Estimate the number of items you must sell to break even ($0 profit)
4) Determine whether the given set of functions is linearly independent on the interval (-x,). a) (z) = cos 2z, (2) = 1, 1,()= cos z b) (z)=z, 1,(2)=z-1, (z)=z+3 c) ()=e**, 1,(=)=e
After 25 years, your savings account has now grown to $16,200 and has an interest of 6.1% that compounds continuously. How much did you deposit at the beginning of the account
The demsnd function for a certain commodity is given by p=-1.5x^2-6x+110, where p is the quantity demanded each month. a) if the unit price is set at $20 show that x=6 by solving for x, the number of units sold, but not by plugging x=6. b) find the consumers' surplus if the selling price is set at $20. Use x=6
please solve it as soon as possible
The cost of producing x textbooks is given by C(x)= 1200+40x. If textbooks are sold for $60 dollars determine the following: a) the fixed costs b) the revenue function c) the number of textbooks that need to be sold to break even.

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