Profit Selling SweatshirtsAn equation can be written for a business to determine how much profit they will make.For an example, your business began selling sweatshirts at a cost of $10. The first year yousold 1,000 (great first year!). You decided to raise the selling price by $5 and found thetotal number sold decreased by 100 sweatshirts (see the table below). It costs $10 toproduce 1 sweatshirt.vertex (35, 12,500)Selling Price $ (s)2. W10152025Quantity Sold in 1year (q)100090080070012000 Profit, P1000080006000400020000-20009102030roblem?40Using some algebra, you determine the equation to represent the relationship between theselling price (s) and the profit (f(s)) (assuming you continue the trend of raising the priceby $5 and selling 100 less) is f(s)=-20s +1400s-12,000. Above is the graph of thefunction.1. What is 10)4. How many sweatshirts had to be sold to make a profit of $10,000?50ob 70selling price, s5. What is the domain and range of the function in the context of this problem?6. If you had a choice, what price would you set for the sweatshirts, and why?

Answered: Image /qna-images/answer/f313bf7b-4627-4045-9b09-512d3e690425.jpg

Answered: An equation can be written for a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. A group pre-orders 8 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs $32, so the debt for one ticket is – $32. The tour company adds a $10 fee for the entire order. Including the fee, which number represents the total debt? – $256 - $266 -$366 O - $246
how to graph it
Cell phone plan A is per month, and you $30 have to buy a new phone for $800 Cell phone plan B is 80 per month, and you get a free phone. After how many months, x , will both plans x cost the same?
Help
21. DESIGNER WINDSOCKS Windless Surfing Company's marketing manager observes that if the price of designer windsocks is $45, then on average 75 windsocks are sold per month. Experience has shown that if the price is raised from $45, then for every $2 increase in price, 3 fewer windsocks will be sold each month. a. Write an equation for the number of windsocks sold per month in terms of the price. b. What price will result in zero windsocks per month being sold? c. If the manager wants to sell at least 50 windsocks each month, what is the range of possible prices for the windsocks?
The owner of a skating rink rents the rink for parties at $800 if 40 or fewer skaters attend, so that the cost per person is $20 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 50, and 60 skaters attend. No. of skaters Total Revenue 40 50 60 Price per Skater $ $ $ (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? O The revenue increases. O The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x) = (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $
Break Even Point: In business the point (usually quantity of goods sold) where the cost equals the revenue. Cal's Cookie Emporium sells cookies. Cal buys the ingredients for his cookies in bulk. The total cost for ingredients is $550.00. In addition it costs Cal $1.00 to cook and package his cookies. His plan is to sell his cookies for $2.25 each. How many cookies will he have to sell to break even? edu gear
3
can you help me with the following problem
6. A school plans to have a fundraiser before basketball games selling shirts with their school logo. The school contacted two companies to find out how much it would cost to have the shirts made. Company A charges a $50 set-up fee and $5 per shirt. Company B charges a $25 set-up fee and $6 per shirt. Write an equation for Company A that could be used to determine the total cost, A, when x shirts are ordered. Write a second equation for Company B that could be used to determine the total cost, B, when x shirts are ordered. Determine algebraically and state the minimum number of shirts that must be ordered for it to be cheaper to use Company A.
PLEASE EXPOUND. SHOW YOUR SOLUTION This furniture business makes tables and chairs. In each chair, It takes three hours to make the parts, two hours to assemble, and three hours to polish it. Furthermore, it takes five hours to produce the parts, four hours to assemble, and four hours to polish each table. In each month, eighty hours are available to produce the parts, fifty hours for assembling the parts, and sixty hours for polishing the furniture. The profit per unit of chairs is Php 1000.00 and Php 1200.00 per unit for tables. How many of each piece of furniture should be made for the business maximizes their monthly profit.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS