Which of the following are true and which are false? explain your answers.

(i) there exists an lp with exactly two optimal solutions. (ii) there exists an lp with exactly two optimal corner solutions. (iii) if an lp is feasible, then it has an optimal solution that is a corner point. (iv) consider an lp with m constraints and n variables. we can transform it into an equivalent lp in standard form with at most 2m + 2n constraints and 2n + m variables.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

17,000 is the correct answer.

is there any other information given for this problem? this is not enough information.

3 ft is your answer