Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $5.50. Her total cost to produce 60 T-shirts is $390, and she sells them for $9 each. a. 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 $C(x) =$ b. Joanne must produce and sell T-shirts in order to break even. c. Joanne must produce and sell T-shirts to make a profit of $900.
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Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $5.50. Her total cost to produce 80 T-shirts is $530, and she sells them for $9 each. a. 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 $800? a. The linear cost function is C(x) = 5.50x + 90. b. Joanne must produce and sell 26 T-shirts in order to break even. c. Joanne must produce and sell T-shirts to make a profit of $800.
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Sale of T-Shirts A T-shirt shop owner has a fixed cost of $\$ 230$ and a marginal cost of $\$ 7$ per T-shirt to manufacture $x$ T-shirts per day. Let $C(x)$ denote the cost to manufacture $x$ T-shirts per day. (a) Find $C(x)$. (b) If the shop owner decides to sell the T-shirts at $\$ 12$ each, find $R(x)$, the total revenue from selling $x$ T-shirts per day.
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