A manufacturer wishes to make tee-shirts for the band Indigo Girls. They sell for 10 dollars each. She must deliver all the tee-shirts in 20 days time. The manufacturer will first set up some machines. Once all machines are set up she will turn them on. Each machine takes one day to set up. A machine produces 200 tee-shirts in one day. All the machines must be set before any of them are turned on. Express the amount of money she will receive for the shirts in terms of the number of machines m she decides to set up.

(20 - m) days x 200 shirts x $10

Explanation:

A manufacturer wishes to make tee-shirts for the band Indigo Girls. They sell for 10 dollars each. She must deliver all the tee-shirts in 20 days time.

The manufacturer will first set up some machines. Once all machines are set up she will turn them on. Each machine takes one day to set up.

A machine produces 200 tee-shirts in one day. All the machines must be set before any of them are turned on.

Express the amount of money she will receive for the shirts in terms of the number of machines m she decides to set up.

The money she will receive, since she must deliver the shirts in 20 days, and each machine takes a day to set up, and each shirt cost $10, will be:

20 days - m (number of machines, which will determine how many days will be left out of 20 days, since each machine takes 1 day to set up) x 200 shirts x $10 per shirt.

(20 - m) days x 200 shirts x $10