CCGPS AA 6.6.1 Example 2

The sports booster club raises money for equipment each year by selling T-shirts. The fixed cost for producing the shirts is $200, plus a variable cost of $5 per shirt. This year, the group is selling the shirts for $8 each. The profit from the T-shirt sale can be determined by subtracting the total cost from the total revenue. If the revenue function for shirts is and the cost function is , what is the profit function, ? State the domain of all the functions in the context of this problem.
  1. Determine the total cost function , where is the cost of producing shirts.
  2. Determine the revenue , where is the revenue from selling shirts.
  3. Determine the profit function, .
  4. Determine the domain of all three functions in the context of the problem.
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