Lantastic Pan Manufacturers Limited (LPML) has been given a contract to manufacture Steel Pans for the Gasparillo Panasonic Steel Orchestra. The standard number of steel pans for a Steel Orchestra is: 4 Tenor Pans, 4 Double Tenor Pans, 4 Double Second Pans, 4 Double Guitar Pans, 6 Cello Pans, 8 Tenor-Bass Pans and 12 Six-Bass Pans. Table 2 below shows the unit profit for each type of Steel Pan. Table 3 provides details of the manufacturing labour hours, tuning labour hours, chrome plating days and the number of steel drums required, to make the instruments to fulfil the order, for the Gasparillo Panasonic Steel Orchestra Table 2 Туре of Steel Pan Tenor Double Tenor $3,000 $2,500 Double Double Cello Tenor-Bass Six-Bass Second $2,250 Guitar Profit per $2,000 $1,750 S1,250 $1,250 pan Table 3 Type of Pan Tenor Double Double Double Cello Tenor- Six- Total Pans Tenor Second Guitar Bass Bass Available Manufacturing Labour Hours Tuning Labour 8 8 8 16 20 625 4 4 4 4 8 16 400 Hours Chrome Plating (days) Steel Drums |(units) 4 2 2 56 4 2 3 8 12 300 a) State the Objective Function for this problem. b) Present the constraints that LPML must take into consideration, in order to maximise the profit for this job. c) If Lantastic Pan Manufacturers Limited's objective is to maximise profit: i. How many Tenor, Double Tenor, Double Second, Double Guitar, Cello, Tenor-Bass and Six-Bass Pans should be manufactured?
Lantastic Pan Manufacturers Limited (LPML) has been given a contract to manufacture Steel Pans for the Gasparillo Panasonic Steel Orchestra. The standard number of steel pans for a Steel Orchestra is: 4 Tenor Pans, 4 Double Tenor Pans, 4 Double Second Pans, 4 Double Guitar Pans, 6 Cello Pans, 8 Tenor-Bass Pans and 12 Six-Bass Pans. Table 2 below shows the unit profit for each type of Steel Pan. Table 3 provides details of the manufacturing labour hours, tuning labour hours, chrome plating days and the number of steel drums required, to make the instruments to fulfil the order, for the Gasparillo Panasonic Steel Orchestra Table 2 Туре of Steel Pan Tenor Double Tenor $3,000 $2,500 Double Double Cello Tenor-Bass Six-Bass Second $2,250 Guitar Profit per $2,000 $1,750 S1,250 $1,250 pan Table 3 Type of Pan Tenor Double Double Double Cello Tenor- Six- Total Pans Tenor Second Guitar Bass Bass Available Manufacturing Labour Hours Tuning Labour 8 8 8 16 20 625 4 4 4 4 8 16 400 Hours Chrome Plating (days) Steel Drums |(units) 4 2 2 56 4 2 3 8 12 300 a) State the Objective Function for this problem. b) Present the constraints that LPML must take into consideration, in order to maximise the profit for this job. c) If Lantastic Pan Manufacturers Limited's objective is to maximise profit: i. How many Tenor, Double Tenor, Double Second, Double Guitar, Cello, Tenor-Bass and Six-Bass Pans should be manufactured?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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