An analyst, having solved a linear programming problem, determined that he had 10 more units of resource Q than previously believed. Upon modifying his program, he observed that the list of basic variables did not change, but the value of the objective function increased by $30. This means that resource Q's shadow price was:

a. $1.50. b. $3.00. c. $6.00. d. $15.00e. $30.00.

Question

Hugh Lucero

Mathematics

26 January, 08:36

An analyst, having solved a linear programming problem, determined that he had 10 more units of resource Q than previously believed. Upon modifying his program, he observed that the list of basic variables did not change, but the value of the objective function increased by $30. This means that resource Q's shadow price was:

a. $1.50. b. $3.00. c. $6.00. d. $15.00e. $30.00.

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Answers (1)

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Janiyah Serrano · Answer 1

Answer: b. $3.00

Step-by-step explanation:

We have a linear relation here.

We know that we have 10 more unitos of the resource Q, so we need to add 10 times the value of Q.

The programmer notices that the increase is whort of $30, so ten times Q is equal to $30.

10*Q = $30

Q = $30/10 = $3

the correct option is b