If you’re a football player, you might want to maximize your running yards, and also minimize your fumbles. Both maximizing and minimizing are types of optimization problems.

maximize (or minimize) the function F (x, y) subject to the condition g(x, y) = 0. In some cases one can solve for y as a function of x and then find the extrema of a one variable function.

REMEMBER: To maximize (minimize) a function of many variables you use the technique of partial differentiation. This produces a set of equations, one equation for each of the unknowns. You then …

2.2.2 Wages Suppose that the firm’s costs C are a function both of its level of output and a wage parameter, and assume that the partial derivative DyC > 0 (which must be the case if the firm is …

Find the maximum value and the point where the maximum occurs. Find the minimum value and the point where the minimum occurs. Solution: We can see from the diagram that the feasible set is …

What price should be charged in order to maximize the revenue from ticket sales? The revenue from ticket sales is the product of the number of tickets sold and the ticket price. We let x = number of $1 …

Following this procedure, let us start with all of the transformations that do not require variable substitution. First, turn the minimization problem into a maximization problem by rewriting the …