49) A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110. (a) How many of each type of tables should be produced in order to maximize the total monthly profit? (b) Calculate the profit at the optimal point. (Use linear programming to solve this problem. Show all steps clearly and neatly)
49) A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110. (a) How many of each type of tables should be produced in order to maximize the total monthly profit? (b) Calculate the profit at the optimal point. (Use linear programming to solve this problem. Show all steps clearly and neatly)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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
Transcribed Image Text:49) A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1
hour to assemble and 2 hours to polish. It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to
assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for
assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of 12 is
$110.
(a) How many of each type of tables should be produced in order to maximize the total monthly profit?
(b) Calculate the profit at the optimal point.
(Use linear programming to solve this problem. Show all steps clearly and neatly)
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