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10 Nov 2019
Module 4 3. The ABC Furniture Company produces three types of rocking chairs: the children's model, the standard model, and the executive model. Each chair is made in three stages: cutting, construction, and finishing. Children's chairs need 5 hours for cutting, 3 hours for construction, and 2 hours for finishing. Standard chairs need 4 hours for cutting, 2 hours for construction, and 2 hours for finishing. Executive chairs need 7 hours for cutting, 5 hours for construction, and 4 hours for finishing. During a specific week the company has available a maximum of 153 hours for cutting, 93 hours for construction, and 74 hours for finishing. Determine how many of each type of chair the company should make to be operating at full capacity a. Identify the variables of the problem using x, y and z. b. Determine the system of equations to be solved c. Write the Augmented Matrix for the system of linear equations then solve using 9 Gauss-Jordan Elimination. Take note as to which row would be the best as the first d. In at least one complete sentence, answer the question: How many of each type of chair should the company make to be operating at full capacity?
Module 4 3. The ABC Furniture Company produces three types of rocking chairs: the children's model, the standard model, and the executive model. Each chair is made in three stages: cutting, construction, and finishing. Children's chairs need 5 hours for cutting, 3 hours for construction, and 2 hours for finishing. Standard chairs need 4 hours for cutting, 2 hours for construction, and 2 hours for finishing. Executive chairs need 7 hours for cutting, 5 hours for construction, and 4 hours for finishing. During a specific week the company has available a maximum of 153 hours for cutting, 93 hours for construction, and 74 hours for finishing. Determine how many of each type of chair the company should make to be operating at full capacity a. Identify the variables of the problem using x, y and z. b. Determine the system of equations to be solved c. Write the Augmented Matrix for the system of linear equations then solve using 9 Gauss-Jordan Elimination. Take note as to which row would be the best as the first d. In at least one complete sentence, answer the question: How many of each type of chair should the company make to be operating at full capacity?
Nestor RutherfordLv2
16 Jun 2019