6) We are going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $10/m, the cost of the bottom is $2/m and the cost of the top is $7/m. If we have $700 determine the dimensions of the field that will maximize the enclosed area. [6 MARKS] Be sure to use the second derivative test, to verify whether the critical point(s) represent a maximum