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anonymous
 5 years ago
constrained optimization involving multivariate functions
A furniture company makes personal computer stands. For a certain model, the total cost (measured in thousands of dollars) when q hundred stands are produced is given by
C(q) = 2q3  9q2 + 12q + 20
The company is currently capable of manufacturing between 75 and 600 (inclusive) per week. Determine the number of stands that must be produced so as to minimise total cost
anonymous
 5 years ago
constrained optimization involving multivariate functions A furniture company makes personal computer stands. For a certain model, the total cost (measured in thousands of dollars) when q hundred stands are produced is given by C(q) = 2q3  9q2 + 12q + 20 The company is currently capable of manufacturing between 75 and 600 (inclusive) per week. Determine the number of stands that must be produced so as to minimise total cost

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radar
 5 years ago
Best ResponseYou've already chosen the best response.0dC/dq=6q^218q+12 set 6q^218q+12+0 divide thru by 6 q^23q+2=0 solve by factoring (q2)(q1)=0 solve for q q=2 q=1 test each solution for minimum 2q3=0 taking derivative of the derivative 2(2) 3 = 1 is positive, so is a minimum answer is 200 units

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0were suppose to use Lagrange multiplier and probably Kuhn tucker conditions but thank you

radar
 5 years ago
Best ResponseYou've already chosen the best response.0O.K. I gotta run, eye exam! Good luck.
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