Papasa ba KAYU owns a huge tract of land where lots of Narra trees continuously grow. The owner of Papasa ba KAYU decided to make a living out of it, thereby creating a woodworks shop, which sell...


Papasa ba KAYU owns a huge tract of land where lots of Narra trees continuously grow. The owner of Papasa ba KAYU decided to<br>make a living out of it, thereby creating a woodworks shop, which sell primarily tables and chairs. More than the materials, he values<br>his skills and effort more, that is why he sells the chairs for a higher price (Php 4,000 each) than the tables (Php 3,000 each). This is<br>because the chairs involve his carvings and other intricate details. As such, the chairs need more labor hours (10 hours each),<br>compared to the tables (5 hours each). As to materials, each of the tables need 30 board feet of Narra wood, while the chairs require<br>20 board feet each. For every week, 300 board feet of wood is harvested from his huge tract of land. The owner of the business is an<br>experienced woodworker himself, so he works 10 hours a day, 6 days a week. With him are two assistants who each work 5 hours a<br>day for 5 days a week. Therefore, total labor hours available per week is 110. The business owner has a policy of selling each table<br>with 4 tables or more. How many tables and chairs should the owner of Papasa ba KAYU and his assistants produce in order to<br>maximize profit?<br>Hint: Round off optimal solutions to the nearest whole number, since Papasa ba KAYU will be unable to sell half a table, or half a chair.<br>

Extracted text: Papasa ba KAYU owns a huge tract of land where lots of Narra trees continuously grow. The owner of Papasa ba KAYU decided to make a living out of it, thereby creating a woodworks shop, which sell primarily tables and chairs. More than the materials, he values his skills and effort more, that is why he sells the chairs for a higher price (Php 4,000 each) than the tables (Php 3,000 each). This is because the chairs involve his carvings and other intricate details. As such, the chairs need more labor hours (10 hours each), compared to the tables (5 hours each). As to materials, each of the tables need 30 board feet of Narra wood, while the chairs require 20 board feet each. For every week, 300 board feet of wood is harvested from his huge tract of land. The owner of the business is an experienced woodworker himself, so he works 10 hours a day, 6 days a week. With him are two assistants who each work 5 hours a day for 5 days a week. Therefore, total labor hours available per week is 110. The business owner has a policy of selling each table with 4 tables or more. How many tables and chairs should the owner of Papasa ba KAYU and his assistants produce in order to maximize profit? Hint: Round off optimal solutions to the nearest whole number, since Papasa ba KAYU will be unable to sell half a table, or half a chair.

Jun 11, 2022
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