SOLUTION: I'm getting struggle in here and tried my best but still I don't get it. PROBLEM: Simply Fresh Designs is a small business that designs and prints creative greeting cards featurin

Question 1184605: I'm getting struggle in here and tried my best but still I don't get it.
PROBLEM: Simply Fresh Designs is a small business that designs and prints creative greeting cards featuring client photos. The pricing structure for ordering personalized 4-inch by 6-inch holiday greeting cards from Simply Fresh Designs is shown in the table
$1.00/card
$0.75/card for orders of 50 or more
(25 minimum order0
$6 shipping fee on all orders
How many possible cards could a client buy if we want to spend at most $45.00?
Found 2 solutions by Theo, greenestamps:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the charge is 1 dollar per card for orders less than 50.

the charge is .75 dollars per card for orders greater than 50.

the minimum order is 25.

the charge for shipping is 6 dollars for any order quantity.

you have a piecemeal function, as far as i can see.

charge is 1 * x + 6 for order quantities between 25 and 49.

charge is .75 * x + 6 for order quantities greater than or equal to 50.

the total cost for 50 cards would be .75 * 50 + 6 = 43.5 dollars.

since you have more than 43.5 dollars, you can afford to order in a quantity greater than 50.

to find out the quantity you can order, your equation becomes 45 = .75 * x + 6

subtract 6 from both sides to get 39 = .75 * x

solve for x to get x = 39/.75 = 52.

you can buy 52 cards for 45 dollars.

Answer by greenestamps(13195) (Show Source): You can put this solution on YOUR website!

The flat shipping fee is $6, so he has $39 to spend on cards.

Obviously he can buy a maximum number of cards if he can buy them at the lower rate.

With $39 at $0.75 per card, the number of cards he could buy is 39/0.75 = 52. Since the lower rate is applicable if the number of cards is 50 or more, he can qualify for the lower rate.

So the maximum number of cards he can buy is 52.

But it's not clear what the question is asking....

Asking "how many possible cards a client could buy" is sloppy language and does not necessarily mean it is asking for the maximum possible number.

So, since the minimum number that can be ordered is 25....

ANSWER: Spending at most $45, a client can buy any number of cards from 25 to 52, inclusive

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