Question

Classwork: Writing Systems of Inequalities 1) A publisher wants to spend at most $3000 on printing costs for hardback novels and paperback novels. She wants to have at least 400 books on hand. A hardback novel costs $10 per book to print while its paperback version costs only $5 to print. A. Write a system of inequalities to represent the combination of the number of hardback and paperback novels the publisher can print.

Answer 1

A publisher wants to spend at most $3000 on printing costs for hardback novels (HN) and paperback novels (PN).

A hardback novel costs $10 per book to print while its paperback version costs only $5 to print.

than means

3000 ≤ HN* 10 + PN* 5

And the second condition

She wants to have at least 400 books on hand.

400 ≥ HN + PN

The system of inequalities that represents the combination of the number of hardback and paperback novels the publisher can print is,

3000 ≤ HN* 10 + PN* 5

400 ≥ HN + PN

o

HN + PN ≤ 400

HN* 10 + PN* 5 ≥ 3000