At which point is the cost function C = x + 3y minimized with respect to the feasible region described? * Given the following constraints: x + 2y > 6 x + y 2 4| х, у 2 0 O (6, 0) O (0, 4) O (2, 2) O (4, 0)

Find the minimum and maximum values of the function subject to the given constraint ƒ(x, y) = 12x² +2y², 3x+4y = 1 Enter DNE if such a value does not exist. fmin = fmax =

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Suppose the labor cost (in dollars) for manufacturing a particular product can be approximated by 3 L(x, y) = 1⁄2 x² + y² − 5x − 6y − 2xy + 221 where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semiskilled person. What values of x and y will minimize cost and what is the minimum cost? Labor costs will be minimized when x = The minimum labor cost will be $ and y= =