Problem 1 Esau Wood sawed wood. Esau Wood would saw wood. All the wood Esau Wood saw, Esau Wood would saw. And from there, Esau Wood was able to put up his business, making wooden tables and chairs. He sells the tables for Php 3,000 each, and the chairs for Php 4,000 each. Esau Wood uses 30 and 20 board feet of wood to make a table and a chair, respectively. Because of its ornate design, each of the chairs take 10 hours to complete. The tables are less ornate, and thus, Esau Wood uses only 5 hours each. 300 board feet of wood is available per week. Esau Wood works 10 hours a day, 6 times a week. He has two assistants who each work 5 hours a day for 5 days a week. The total labor hours available therefore, is 110. Esau Wood created a policy wherein a single table must be sold with 4 chairs or more. How many tables and chairs should Esau Wood and his staff make in order to maximize profit? Use the graphical method to solve this problem. Hint: Optimal solution must be rounded off to the nearest whole number, since it is impractical to sell partial units of tables and chairs. Required: 1. Linear Programming Model 2. Graph 3. Optimal Solution 4. Maximum Profit

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.