7. A rancher want to enclose three rectangular areas in a field, one for sheep, one for cattle, and one for pigs. There are 240 meters of fencing available. (a) Let x and y be the dimension of each rectangular plot (see picture below). Find a formula for A(x), the total area of the three plots as a function of x. X y y y y A(x) = (b) Compute A0 (x). A' (x) : (c) Find the critical point(s) critical point(s):

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.