A Rectangular Corral with a Total Area of 60 Square

Multiple Choice

A rectangular corral with a total area of 60 square meters is to be fenced off and then divided into 2 rectangular sections by a fence down the middle. The fencing for the outside costs $9 per running meter, whereas that for the interior dividing fence costs $12 per running meter. Which of the following statements hold, if the cost (c) of the fencing is to be maximized? (I) The constraint equation is 3w + 2 l = 60 .
(II) The objective equation is 2l ∙ w = 60 .
(III) The constraint equation is w ∙ l = 60 .
(IV) The objective equation is C = 30w + 18l .
(V) The constraint equation is C = 12w + 9wl .
(VI) The objective equation is C = 60 - lw .

A) III and IV
B) V and VI
C) I and II
D) none of these