Minimum and maximum on a contour map Pictured are a contour

Minimum and maximum on a contour map

Pictured are a contour map of fand a curve with equation g(x, y) = 8Estimate the maximum and minimum values of f subject to the constraint that g(x, y) = 8. maximum minimum

Solution

From the graph we see that in contour map and graph of g(x,y)=8, maximum value where the g function intersects is 60 and minimum value where g function intersects is 30 .