Bernie just graduated from art school, and he hopes to make a living as an artist. For now, his goal is to earn at least $2,000 each month from his art. He sells his original works for $250 each and prints, or copies, for $20 each. Because of the time it takes to create each original work, Bernie can sell at most 5 of them each month.

Question

Bernie just graduated from art school, and he hopes to make a living as an artist. For now, his goal is to earn at least $2,000 each month from his art. He sells his original works for $250 each and prints, or copies, for $20 each. Because of the time it takes to create each original work, Bernie can sell at most 5 of them each month.

Which pairs (w,p) represent possible numbers of original works and prints Bernie could sell each month to meet his goal?

Answer 1

Possible pairs (w,p) where Bernie could meet his goal of earning at least $2,000 each month are:

(0,100) - Bernie sells no original works and 100 prints each month, earning $2,000 ($0 + $20*100).
(1,95) - Bernie sells 1 original work and 95 prints each month, earning $2,000 ($250 + $20*95).
(2,90) - Bernie sells 2 original works and 90 prints each month, earning $2,000 ($500 + $20*90).
(3,85) - Bernie sells 3 original works and 85 prints each month, earning $2,000 ($750 + $20*85).
(4,80) - Bernie sells 4 original works and 80 prints each month, earning $2,000 ($1,000 + $20*80).
(5,75) - Bernie sells 5 original works and 75 prints each month, earning $2,000 ($1,250 + $20*75).

Therefore, the possible pairs (w,p) where Bernie could meet his goal are (0,100), (1,95), (2,90), (3,85), (4,80), and (5,75).