A manufacturer of T-shirts has fixed costs of $3500 per month. These are monthly costs that are incurred no matter how many T-shirts are produced. There are variable costs of $9 per T-shirt. That is, it costs $9 to produce each additional T-shirt. T-shirts sell for $11 each. (a) The cost function gives the cost C, in dollars, of producing t T-shirts per month. Find a formula for the cost function. C(t) = (b) The revenue function gives the revenue R, in dollars, obtained from selling t T-shirts. Find a formula for the revenue function. R(t) = (c) The break-even point is the number of T-shirts produced and sold that results in a net income of 0 dollars. That is when cost equals revenue. Find the break-even point for this manufacturer.
A manufacturer of T-shirts has fixed costs of $3500 per month. These are monthly costs that are incurred no matter how many T-shirts are produced. There are variable costs of $9 per T-shirt. That is, it costs $9 to produce each additional T-shirt. T-shirts sell for $11 each. (a) The cost function gives the cost C, in dollars, of producing t T-shirts per month. Find a formula for the cost function. C(t) = (b) The revenue function gives the revenue R, in dollars, obtained from selling t T-shirts. Find a formula for the revenue function. R(t) = (c) The break-even point is the number of T-shirts produced and sold that results in a net income of 0 dollars. That is when cost equals revenue. Find the break-even point for this manufacturer.
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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Transcribed Image Text:A manufacturer of T-shirts has fixed costs of $3500 per month. These are monthly costs that are incurred no matter how many T-shirts are produced. There are variable costs
of $9 per T-shirt. That is, it costs $9 to produce each additional T-shirt. T-shirts sell for $11 each.
(a) The cost function gives the cost C, in dollars, of producing t T-shirts per month. Find a formula for the cost function.
C(t) =
(b) The revenue function gives the revenue R, in dollars, obtained from selling t T-shirts. Find a formula for the revenue function.
R(t) =
(c) The break-even point is the number of T-shirts produced and sold that results in a net income of 0 dollars. That is when cost equals revenue. Find the break-even point
for this manufacturer.
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