The president of the country PTA organization makes copies of membership lists for all of the elementary schools. Sometimes she may need only few copies but at other times she needs thousands of copies.
TIP copy Service charges 3 ½ cents per copy plus a 42.00 set up charge for each list.
Kurt’s Kwik Print charges 10 cents each for the first 50 copied and 3 cents for additional copies.
Which print shop should she go for the best price on each set of 10, 30, 50, 100, 200, 500 and 1000 copies?
To determine which print shop offers the best price for each set of copies, we will compare the total cost from each print shop for each specified quantity of copies.
For TIP Copy Service:
- Cost per copy: 3 ½ cents
- Set up charge: $42.00
For Kurt's Kwik Print:
- Cost per copy (first 50): 10 cents
- Cost per copy (additional copies): 3 cents
Let's calculate the total cost for each set of copies:
For 10 copies:
- TIP Copy Service: (10 copies x 3.5 cents per copy) + $42.00 set up charge
- Kurt's Kwik Print: (10 copies x 10 cents per copy)
For 30 copies:
- TIP Copy Service: (30 copies x 3.5 cents per copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies x 10 cents per copy) + (30 copies - 50) x 3 cents per copy
For 50 copies:
- TIP Copy Service: (50 copies x 3.5 cents per copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies x 10 cents per copy)
For 100 copies:
- TIP Copy Service: (100 copies x 3.5 cents per copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies x 10 cents per copy) + (100 copies - 50) x 3 cents per copy
For 200 copies:
- TIP Copy Service: (200 copies x 3.5 cents per copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies x 10 cents per copy) + (200 copies - 50) x 3 cents per copy
For 500 copies:
- TIP Copy Service: (500 copies x 3.5 cents per copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies x 10 cents per copy) + (500 copies - 50) x 3 cents per copy
For 1000 copies:
- TIP Copy Service: (1000 copies x 3.5 cents per copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies x 10 cents per copy) + (1000 copies - 50) x 3 cents per copy
Comparing the total costs from both print shops for each set of copies will help us determine which one offers the best price.
To find out the best price for each set of copies, we will compare the prices charged by the two print shops for each quantity.
First, let's calculate the cost at TIP Copy Service:
- For each set, TIP Copy Service charges 3 ½ cents per copy plus a $42.00 set up charge.
- The cost for each set at TIP Copy Service can be calculated using the formula: (number of copies * cost per copy) + set up charge.
Next, let's calculate the cost at Kurt's Kwik Print:
- For the first 50 copies, Kurt's Kwik Print charges 10 cents per copy.
- For additional copies beyond 50, Kurt's Kwik Print charges 3 cents per copy.
- The cost for each set at Kurt's Kwik Print can be calculated using the formula: (number of copies up to 50 * cost per copy) + (additional copies beyond 50 * cost per additional copy).
Now, let's calculate the costs for each set using both print shops:
For a set of 10 copies:
- TIP Copy Service: (10 * 3.5 cents) + $42.00
- Kurt's Kwik Print: (10 * 10 cents)
For a set of 30 copies:
- TIP Copy Service: (30 * 3.5 cents) + $42.00
- Kurt's Kwik Print: (30 * 10 cents)
For a set of 50 copies:
- TIP Copy Service: (50 * 3.5 cents) + $42.00
- Kurt's Kwik Print: (50 * 10 cents)
For a set of 100 copies:
- TIP Copy Service: (100 * 3.5 cents) + $42.00
- Kurt's Kwik Print: (50 * 10 cents) + (50 * 3 cents)
For a set of 200 copies:
- TIP Copy Service: (200 * 3.5 cents) + $42.00
- Kurt's Kwik Print: (50 * 10 cents) + (150 * 3 cents)
For a set of 500 copies:
- TIP Copy Service: (500 * 3.5 cents) + $42.00
- Kurt's Kwik Print: (50 * 10 cents) + (450 * 3 cents)
For a set of 1000 copies:
- TIP Copy Service: (1000 * 3.5 cents) + $42.00
- Kurt's Kwik Print: (50 * 10 cents) + (950 * 3 cents)
Now, compare the costs for each set for both print shops and determine which one offers the best price.