SOLUTION: I need your help on this word problem: A t-shirt manufacturer spends $1200 each day on costs plus $3 per shirt for labor and materials. The t-shirts sell for $12 each. How many t

Question 766868: I need your help on this word problem:
A t-shirt manufacturer spends $1200 each day on costs plus $3 per shirt for labor and materials. The t-shirts sell for $12 each. How many t-shirts must the company sell in one day to make a profit of $500?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
A t-shirt manufacturer spends $1200 each day on costs plus $3 per shirt for labor and materials. The t-shirts sell for $12 each. How many t-shirts must the company sell in one day to make a profit of $500?
Let the number of t-shirts be x.
Fixed costs = 1200
Variable cost (labour and materials) per t-shirt = 3
So total variable cost for x shirts = 3*x
Total cost = 1200 + 3*x
If the profit is 500, then the total selling price = 1200 + 3*x + 500 = 1700 + 3*x -----(1)
Selling price of 1 shirt = $12
So selling price of x shirts = 12*x ------(2)
Equating both (1) and (2)
1700 + 3*x = 12*x
1700 = 9*x
x = 1700/9 = 188.88
So number of T-shirts to be sold to make a profit of $500 = 189 (rounding off
to next whole number)
Hope you got it :)

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