Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $3.50. Her total cost to produce 60 T-shirts is $270, and she sells them for $9 eacha. Find the linear cost function for Joanne's T-shirt production.b. How many T-shirts must she produce and sell in order to break even?c. How many T-shirts must she produce and sell to make a profit of $900?a. The linear cost function is C(x) =View an exampleGet more help -Q Search...تون کے شوW

The marginal cost of one T-shirt is $3.50.The total cost of producing 60 T-shirts is $270.To Do:We…

Answered: Joanne sells silk-screened T-shirts at…

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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During a volleyball game, the snack bar has put up a combo of wings, fries and soda for sale at a price of $ 6.75. The owner records that he has a production cost in the premises of yc = $ 2.95x + $ 627. 1. Find the balance point. 2. If it is known that at least 200 combos will be sold, what should the price be set to ensure there are no losses?
3. Jay is driving home from his family's lake house which is 398 miles away from where he lives. He drives at an average speed of 58 miles per hour. Write a linear function that represents Jay's total distance from home, D(t), after t hours. a. b. How far away from home is Jay after driving for 2 hours? C. How many hours will it take for Jay to get home? Lesson 1 Unit 3: Inequalities
It costs $1000 to produce 100 t-shirts in a day, and it costs $1300 to produce 140 t-shirts in a day. Assume that the daily cost is a linear function of the number of t-shirts produced per day.a. Determine the marginal cost per t-shirt.b. Determine the fixed daily cost.
8. Below are the daily rental costs for ski equipment. Randall rents one set of skis, two sets of poles, and two pairs of boots. The sales tax for the rental was $7.69. He paid with a $100 bill. Ski Rentals Item Price Skis $25.00 Poles $7.95 Boots $14.50 How much change should Randall receive from the $100 bill? Write your answer in dollars and cents.
Which sentences describe a proportional relationship between dollars and hours? Jasmine earns $8.50 an hour to mow her neighbor's yard. A dog walker earns $10.00 for walking one dog plus $9.50 for each hour that she walks the dog. A painter earns $45.00 an hour to paint the inside of a home. The cost to take a private tennis lesson is $40.00 for one hour or $75.00 for two hours. The cost to rent a boat for 3 hours is $54.00 and the cost to rent a boat for the day is $70.00.
A contractor purchases a backhoe for $37, 300. Fuel and standard maintenance cost $5.95 per hour, and the operator is paid $12.03 per hour. a. Write a cost function for the cost C(z) of operating the backhoe for hours. Be sure to include the purchase price in the cost function. Cost function: C(z) = dollars b. If customers pay $27.77 per hour for the contractor's backhoe service, write the revenue function R(z) for the amount of revenue gained from a hours of use. Revenue function: R(x) = I c. Write the profit function P(x) for the amount of profit gained from a hours of use. Profit function: P(x) = dollars dollars d. How many hours must the backhoe be used in order to break even (assume that part of an hour counts as a whole hour)? In order for the contractor to break even, customers need to pay to use the backhoe for a total of hours.
7. Sky Launch Trampoline Park charges Customers $9.50 per hour they spend jumping. Each customer must also pay $2.50 for grip socks. Write an equation in slope-intercept form to represent this linear function. Derrick spent $31 at Sky Launch Trampoline Park on Sunday. How many hours did he jump?
(Q.1) Mastery Assess It 3 - Question is in the photo privided below.
Melissa will attend a 2-year college, and she is planning her budget.Answer the following. Below is an estimate of all her expenses and sources of funding for her 2-year college education. For each, select whether it is an expense or a source of funding. (b) What is the total of her estimated expenses? (c) What is the total of her estimated funding? (d) Can Melissa expect to have enough money for her education? How much is the difference? Yes. She will have $____ more than she needs No. she will need an additional $___

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