SOLUTION: You decide to design and sell customized t-shirts. the company charges you $7.50 for each t-shirt and a set-up cost of $22.50 for a new design. You decide to sell the t-shirts for

Question 192373: You decide to design and sell customized t-shirts. the company charges you $7.50 for each t-shirt and a set-up cost of $22.50 for a new design. You decide to sell the t-shirts for $8.25 each.
A. Write an equation that gives the production cost in dollars to make one design of t-shirt in terms of the number of t-shirts made. Be sure to describe what your variables represent. Use a complete sentence in your answer.

B. Write an equation that gives the income (the amount of money that you earn) in dollars in terms of the number of t-shirts sold. Be sure to describe what your variables represent. Use a complete sentence in your answer.
Found 2 solutions by stanbon, RAY100:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You decide to design and sell customized t-shirts. the company charges you $7.50 for each t-shirt and a set-up cost of $22.50 for a new design. You decide to sell the t-shirts for $8.25 each.
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A. Write an equation that gives the production cost in dollars to make one design of t-shirt in terms of the number of t-shirts made. Be sure to describe what your variables represent. Use a complete sentence in your answer.
C(x) = 22.50 + 7.50x
x is the number of t-shirts made.
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B. Write an equation that gives the income (the amount of money that you earn) in dollars in terms of the number of t-shirts sold. Be sure to describe what your variables represent. Use a complete sentence in your answer.
I(x) = 8.25x - [22.50 + 7.50x]
I(x) = 0.75x - 22.50
x is the number of t-shirts sold.
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Cheers,
Stan H.

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
cost = $22.50*d +$7.50 *x
where d = number of designs (1 for all problems today)
and x = number of shirts
Cost Sentence, Total cost is $22.50 for each design plus $7.50 for each shirt purchased
Income = sales - cost
I=$8.25* x1 -($22.50d+$7.50*x2)
I= $8.25*x1-$7.50*x2-$22.50d
x1= number of shirts sold
x2 = number of shirts purchased
where I = Income or Profit
Income Sentence, Total income is equal to $8.25 for each shirt sold less $7.50 for each shirt purchased less again $22.50 for each design.
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