Answer all parts Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $2.50. Her total cost to produce 40 T-shirts is $180, and she sells them for $7 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) =.

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

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.CT: Test

Problem 19CT

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Similar questions

The manufacturer of a weight training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fixed costs each month of $25,500. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?
Find the slope of the line: x = —4.
The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $6500. (a) Find the cost function C when x bottles are manufactured. (b) Find the revenue function R when x bottles are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
Use the chart to get the answers to the question. Please help.
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.
The cost y to produce x items is, in some cases, expressed as y=mx + b. The number b gives the fixed cost (the cost that is the same no matter how many items are produced), and the number m gives the variable cost (the cost to produce an additional item) It costs $400 to start up a business selling campaign buttons . Each button cost $0.36 to produce. a. what is the fixed cost ? The fixed cost is $ b. What is the variable cost ? The variable cost is $ c. Write the cost equation The equation cost is D. What will be the cost to produce 400 campaign buttons , based on the cost equation ? E . How many campaign buttons will be produced if the total cost is $1048?
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Ezra has a base salary of $25,000 and earns 65% commission on vacuum cleaners. This means that for each vacuum cleaner he sells, he earns an additional amount that equals 65% of the price of the vacuum cleaner. To answer the following questions, use a model where S is Ezra’s total salary and v is the total dollar amount of his vacuum cleaner sales. What is the dollar amount of sales in vacuum cleaners Ezra will need to make in a year if he wants to earn $35,000? Round to the nearest cent.
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