Photography reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling. How many reprints must a customer purchase to make it less expensive to use mail order? Thanks!
Solve 0.52 X = 0.44 N + 1.20
You can see that you save 8 cents per print at the lower price, but have to make up the $1.20 P&H carge. The answer is X = 1.20/0.08
So then the answer would be x > 15? Thanks!
To determine how many reprints a customer must purchase to make it less expensive to use the mail order, we need to compare the total cost of purchasing reprints at the local photo shop with the total cost of purchasing reprints through the mail.
Let's assume the number of reprints to be purchased is represented by x.
Cost at the local photo shop: $0.52 per reprint.
Total cost at the local photo shop: 0.52x.
Cost through the mail: $0.44 per reprint + $1.20 postage and handling.
Total cost through the mail: (0.44x) + 1.20.
To find the point where it becomes less expensive to use mail order, we need to set up an inequality:
Total cost at the local photo shop > Total cost through the mail.
0.52x > (0.44x) + 1.20.
Now, we can solve the inequality for x:
0.52x - 0.44x > 1.20.
0.08x > 1.20.
x > 1.20 / 0.08.
x > 15.
Therefore, a customer must purchase more than 15 reprints for it to be less expensive to use mail order.