ABC furniture’s produce three products tables, desks and chairs. The furniture is produced in  central plant. The production of the desk requires 3 hours in the plant, the table 2 hours and the  chair 1 hour. The regular plant capacity is 40 hours a week. According to the marketing  department, the maximum number of desks, tables and chairs that can be sold weekly are 10, 10  3 | P a g e and 12 respectively. The president of the firm has established the following goals according to  their importance: a. avoid any underutilization of production capacity

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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ABC furniture’s produce three products tables, desks and chairs. The furniture is produced in 
central plant. The production of the desk requires 3 hours in the plant, the table 2 hours and the 
chair 1 hour. The regular plant capacity is 40 hours a week. According to the marketing 
department, the maximum number of desks, tables and chairs that can be sold weekly are 10, 10 
3 | P a g e
and 12 respectively. The president of the firm has established the following goals according to 
their importance:
a. avoid any underutilization of production capacity 
b. meet the order of XYZ store for seven desk and five chairs 
c. avoid overtime operation of the plant beyond 10 hours
d. achieve sales goal of 10 desks, to tables and 12 chairs
e. minimize overtime operation as much as possible 
 Based on the information given above formulate the goal programming problem

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