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?
All you need to do is figure out the prices by both for each set. So for a set of ten by TIP you would do (3.5x10)+42.
For Kurt's, you would do 10x10. However, when you go over 50 copies, Kurt's changes. So the equation for 100 copies would be (10x50)+(3x50). this is because you would subtract the first 50 from the total set. So if the set was 200, you would do (10x50)+(3x150). Hope that helps.
To determine the best price for each set of copies at the two print shops, let's calculate the total cost at each shop for various quantities.
1. TIP Copy Service:
- Cost per copy: 3 ½ cents
- Set up charge for each list: $42.00
2. Kurt's Kwik Print:
- Cost per copy (first 50 copies): 10 cents
- Cost per copy (additional copies): 3 cents
Let's calculate the total cost at each shop for different quantities:
1. Set of 10 copies:
- TIP Copy Service: (10 copies * 3.5 cents/copy) + $42.00 set up charge
- Kurt's Kwik Print: (10 copies * 10 cents/copy)
2. Set of 30 copies:
- TIP Copy Service: (30 copies * 3.5 cents/copy) + $42.00 set up charge
- Kurt's Kwik Print: (30 copies * 10 cents/copy)
3. Set of 50 copies:
- TIP Copy Service: (50 copies * 3.5 cents/copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies * 10 cents/copy)
4. Set of 100 copies:
- TIP Copy Service: (100 copies * 3.5 cents/copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies * 10 cents/copy) + (50 copies * 3 cents/copy)
5. Set of 200 copies:
- TIP Copy Service: (200 copies * 3.5 cents/copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies * 10 cents/copy) + (150 copies * 3 cents/copy)
6. Set of 500 copies:
- TIP Copy Service: (500 copies * 3.5 cents/copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies * 10 cents/copy) + (450 copies * 3 cents/copy)
7. Set of 1000 copies:
- TIP Copy Service: (1000 copies * 3.5 cents/copy) + $42.00 set up charge
- Kurt's Kwik Print: (50 copies * 10 cents/copy) + (950 copies * 3 cents/copy)
Compare the total costs for each set of copies at both print shops. The print shop with the lowest cost for each set is the one to choose for the best price.