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2. A local manufacturing firm produces four different metal products, each of which must be machined, polished, and assembled. The specific time requirements (in hours) for each product are as follows. Product I Product II Product III Product IV Machining, hrs 3 2 2 4 Polishing, hrs 1 1 2 3 Assembling, hrs 2 1 2 1 The firm has available to it on a weekly basis 480 hrs of machine time, 400 hrs of polishing time, and 400 hrs of assembly time. The unit profits on the products are $6, $4, $6, and $8, respectively. The firm has a contract with a distributor to provide 50 units of Product I and 100 units of any combination of products II and III each week. Through other customers, the firm can sell each week as many units of products I, II, and III as it can produce, but only a maximum of 25 units of product IV. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? Assume that any unfinished pieces can be completed for following week. Formulate an LP model that you can use to solve for the values of the variables.

2. A local manufacturing firm produces four different metal products, each of which must be machined, polished, and assembled. The specific time requirements (in hours) for each product are as follows. Product I Product II Product III Product IV Machining, hrs 3 2 2 4 Polishing, hrs 1 1 2 3 Assembling, hrs 2 1 2 1 The firm has available to it on a weekly basis 480 hrs of machine time, 400 hrs of polishing time, and 400 hrs of assembly time. The unit profits on the products are $6, $4, $6, and $8, respectively. The firm has a contract with a distributor to provide 50 units of Product I and 100 units of any combination of products II and III each week. Through other customers, the firm can sell each week as many units of products I, II, and III as it can produce, but only a maximum of 25 units of product IV. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? Assume that any unfinished pieces can be completed for following week. Formulate an LP model that you can use to solve for the values of the variables.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#2 include the Decision Variables, Objective Function and Constraints. (LP FORMULATION). PROVIDE HANDWRITTEN SOLUTIONS PLS.  4 decimal values for the answer. do not use PHP simplex and Excel solver

2. A local manufacturing firm produces four different metal products, each of which must be machined, polished, and assembled. The specific time requirements (in hours) for each product are as follows. Product I Product II Product III Product IV Machining, hrs 3 2 2 4 Polishing, hrs 1 1 2 3 Assembling, hrs 2 1 2 1 The firm has available to it on a weekly basis 480 hrs of machine time, 400 hrs of polishing time, and 400 hrs of assembly time. The unit profits on the products are $6, $4, $6, and $8, respectively. The firm has a contract with a distributor to provide 50 units of Product I and 100 units of any combination of products II and III each week. Through other customers, the firm can sell each week as many units of products I, II, and III as it can produce, but only a maximum of 25 units of product IV. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? Assume that any unfinished pieces can be completed for following week. Formulate an LP model that you can use to solve for the values of the variables.
Transcribed Image Text:2. A local manufacturing firm produces four different metal products, each of which must be machined, polished, and assembled. The specific time requirements (in hours) for each product are as follows. Product I Product II Product III Product IV Machining, hrs 3 2 2 4 Polishing, hrs 1 1 2 3 Assembling, hrs 2 1 2 1 The firm has available to it on a weekly basis 480 hrs of machine time, 400 hrs of polishing time, and 400 hrs of assembly time. The unit profits on the products are $6, $4, $6, and $8, respectively. The firm has a contract with a distributor to provide 50 units of Product I and 100 units of any combination of products II and III each week. Through other customers, the firm can sell each week as many units of products I, II, and III as it can produce, but only a maximum of 25 units of product IV. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? Assume that any unfinished pieces can be completed for following week. Formulate an LP model that you can use to solve for the values of the variables.
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