3. A magazine publishes a U.S. and a Canadian edition each week. There are 30,000 subscribers in the U.S. and 20,000 subscribers in Canada. Other copies are sold at newsstands. Postage and shipping...


3. A magazine publishes a U.S. and a Canadian edition each week. There are 30,000 subscribers in the<br>U.S. and 20,000 subscribers in Canada. Other copies are sold at newsstands. Postage and shipping<br>costs average $80 per thousand copies in the U.S. and $60 per thousand copies in Canada. Surveys<br>show that no more than 120,000 copies of each issue can be sold (including subscriptions) and that<br>the number of copies of the Canadian edition should not exceed twice the number of copies of the<br>U.S. edition. The publisher can spend at most $8400 a month on postage and shipping. If profit is<br>$200 per thousand copies on the U.S. edition and $150 per thousand copies on the Canadian, how<br>many copies of each should be printed to maximize profit, and what will that profit be?<br>

Extracted text: 3. A magazine publishes a U.S. and a Canadian edition each week. There are 30,000 subscribers in the U.S. and 20,000 subscribers in Canada. Other copies are sold at newsstands. Postage and shipping costs average $80 per thousand copies in the U.S. and $60 per thousand copies in Canada. Surveys show that no more than 120,000 copies of each issue can be sold (including subscriptions) and that the number of copies of the Canadian edition should not exceed twice the number of copies of the U.S. edition. The publisher can spend at most $8400 a month on postage and shipping. If profit is $200 per thousand copies on the U.S. edition and $150 per thousand copies on the Canadian, how many copies of each should be printed to maximize profit, and what will that profit be?

Jun 09, 2022
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