A custom tshirt company charges a 200.00 set up fee and 5.00 per tshirt. Approximately how many tshirts must be produced so that the total cost per tshirt is 5.33?
Answer is C 600 t-shirts
200 / 0.33 = ?
To find the number of t-shirts that must be produced so that the total cost per t-shirt is $5.33, we can set up an equation.
Let's assume the number of t-shirts to be produced is 'x'.
The total cost per t-shirt would be the sum of the set-up fee and the cost per t-shirt multiplied by the number of t-shirts:
Total cost per t-shirt = (Set-up fee + (Cost per t-shirt * Number of t-shirts)) / Number of t-shirts
Since we want the total cost per t-shirt to be $5.33, we can set up the equation:
5.33 = (200 + (5 * x)) / x
Now, let's solve the equation for 'x'.
Step 1: Multiply both sides of the equation by 'x':
5.33x = 200 + 5x
Step 2: Subtract 5x from both sides of the equation:
5.33x - 5x = 200
Step 3: Combine like terms:
0.33x = 200
Step 4: Divide both sides of the equation by 0.33:
x = 200 / 0.33
Using a calculator, we can find the approximate value of x:
x ≈ 606.06
Therefore, approximately 606 t-shirts must be produced so that the total cost per t-shirt is $5.33.
To find the approximate number of t-shirts that need to be produced to achieve a total cost per t-shirt of $5.33, we need to set up an equation and solve for the number of t-shirts.
Let's assume the number of t-shirts to be produced is x.
The set-up fee is constant at $200.00, and there is an additional cost of $5.00 per t-shirt. The total cost can be represented as:
Total cost = Set up fee + (Cost per t-shirt * Number of t-shirts)
Total cost = $200.00 + ($5.00 * x)
To find the cost per t-shirt, we divide the total cost by the number of t-shirts:
Cost per t-shirt = Total cost / Number of t-shirts
Cost per t-shirt = ($200.00 + ($5.00 * x)) / x
We want the cost per t-shirt to be approximately $5.33. So we can set up the equation:
($200.00 + ($5.00 * x)) / x = $5.33
To solve this equation, we can multiply both sides by x to eliminate the denominator:
$200.00 + ($5.00 * x) = $5.33 * x
Next, we can rearrange the equation:
$200.00 = $5.33 * x - $5.00 * x
Combining like terms, we get:
$200.00 = $0.33 * x
To isolate x, we divide both sides by $0.33:
x = $200.00 / $0.33
Using a calculator, we can find:
x ≈ 606.06
Therefore, approximately 606 t-shirts must be produced to achieve a total cost per t-shirt of $5.33.