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A company produces two kinds of products. A product of the first type requires 1/4 hours of assembly labor, 1/8 hours of testing, and $1.20 worth of raw materials. A product of the second type requires 1/3 hours of assembly, 1/3 hours of testing, and $0.90 worth of raw materials. Given the current personnel of the company, there can be at most 90 hours of assembly labor and 80 hours of testing cach day. Products of the first and second type have a market value of $9 and $8, respectively. 1. Formulate a linear programming problem that can be used to maximize the daily profit of the company. 2. Suppose that up to 50 hours of overtime assembly labor can be scheduled, at a cost of $7 per hour. Modify the linear program from (a) to incorporate this change. Clearly specify the entire new LP, not just any changes. Solve this in Excel. Attach the (1) Solver box, (2) Answer report, (3) Main sheet with the formulas showing to your HW.

A company produces two kinds of products. A product of the first type requires 1/4 hours of assembly labor, 1/8 hours of testing, and $1.20 worth of raw materials. A product of the second type requires 1/3 hours of assembly, 1/3 hours of testing, and $0.90 worth of raw materials. Given the current personnel of the company, there can be at most 90 hours of assembly labor and 80 hours of testing cach day. Products of the first and second type have a market value of $9 and $8, respectively. 1. Formulate a linear programming problem that can be used to maximize the daily profit of the company. 2. Suppose that up to 50 hours of overtime assembly labor can be scheduled, at a cost of $7 per hour. Modify the linear program from (a) to incorporate this change. Clearly specify the entire new LP, not just any changes. Solve this in Excel. Attach the (1) Solver box, (2) Answer report, (3) Main sheet with the formulas showing to your HW.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 73P
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A company produces two kinds of products. A product of the first type requires 1/4 hours of assembly labor, 1/8 hours of testing, and $1.20 worth of raw materials. A product of the second type requires 1/3 hours of assembly, 1/3 hours of testing, and S0.90 worth of raw materials. Given the current personnel of the company, there can be at most 90 hours of assembly labor and 80 hours of testing each day. Products of the first and second type have a market value of $9 and $8, respectively. 1. Formulate a linear programming problem that can be used to maximize the daily profit of the company. 2. Suppose that up to 50 hours of overtime assembly labor can be scheduled, at a cost of $7 per hour. Modify the linear program from (a) to incorporate this change. Clearly specify the entire new LP, not just any changes. Solve this in Excel. Attach the (1) Solver box, (2) Answer report, (3) Main sheet with the formulas showing to your HW.
Transcribed Image Text:A company produces two kinds of products. A product of the first type requires 1/4 hours of assembly labor, 1/8 hours of testing, and $1.20 worth of raw materials. A product of the second type requires 1/3 hours of assembly, 1/3 hours of testing, and S0.90 worth of raw materials. Given the current personnel of the company, there can be at most 90 hours of assembly labor and 80 hours of testing each day. Products of the first and second type have a market value of $9 and $8, respectively. 1. Formulate a linear programming problem that can be used to maximize the daily profit of the company. 2. Suppose that up to 50 hours of overtime assembly labor can be scheduled, at a cost of $7 per hour. Modify the linear program from (a) to incorporate this change. Clearly specify the entire new LP, not just any changes. Solve this in Excel. Attach the (1) Solver box, (2) Answer report, (3) Main sheet with the formulas showing to your HW.
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