Manual without using the computer Question (B5) The Turned-On Transistor Radio C

Question

Manual without using the computer

Question (B5) The Turned-On Transistor Radio Company manufacturers Models A, B, and C which have profit contributions of 8, 15, and 25, respectively. The weekly minimum production requirements are 100 for model A, 150 for Model B, and 75 for Model C. Each type of radio requires a certain amount of time for the manufacturing of component parts, for assembling and for packaging Specifically, a dozen units of Model A require three hours for manufacturing, four hours for assembling and one hour for packaging. The corresponding figures for a dozen units of Model B are 3.5, 5, and 1.5, and for a dozen units of Model C are 5, 8, and 3. During the forthcoming week, the company has available 150 hours of manufacturing, 200 hours of assembling and 60 hours of packaging time. Formulate the production scheduling problem as a linear programming model

Explanation / Answer

Maximize 8x+15y+25z

s.t

x>=100,y>=150,z>=75

3x+3.5y+5z<=150*12

4x+5y+8z<=200*12

1x+1.5y+3z<=60*12

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