t follow The Furniture City (FC) company makes 3 kinds of couches:(1)Standard, (
ID: 3304807 • Letter: T
Question
t follow The Furniture City (FC) company makes 3 kinds of couches:(1)Standard, (2) Deluxe, and (3) Luxur styles. Each couch goes through 3 production departments:(1) Cutting and Coloring, (2) Assembly and (3) Finishing. The total number of hours available each month in each of the above department is 300, 150 and 200, respectively. The time (in hours) required by 3 departments for making eac couch and the profit per couch are listed below. The company has a contract of supplying at 6 Standard couches per month. Standard Deluxe Luxury Couch Cutting andAssemblyFinishing Profit (S) (hrs) 0.5 0.6 0.8 Coloring (hrs) 1.4 1.5 1.5 (hrs) 0.6 0.5 0.6 150 200 250 The company would like to make a production plan to maximize its total profit. Define S, D, L as the variables for the numbers of Standard, Deluxe and Luxury couches produce by the company. Then the corresponding LP model is built as follows: Max 150S+200 D+250L Subject to: 14S+1.5D+1.5L s 300 0.5 S+0.6 D+0.8 L s 150 0.6S+0.5 D+0.6L s 200 S 2 60 Cutting and Coloring (Assembly) (Finishing) (contract supply) All variables are non-negativeExplanation / Answer
23)
b)45000 is correct
24)
d) 264 is correct
it will be true when p > 250
25)
e) 2 and 3 is correct
26)
b)
both remain same
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