Optimization Problem? Firebreaks is a fire management technique, which reduce the damage done by forest fires. A firebreak is a strip where trees have been removed in a forest so that a fire started on one side of the strip will not spread to the other side. Having many firebreaks helps confine a fire to a small area. On the other hand, having too many firebreaks involves removing large swaths of trees. 1)A forest in shape of 50 km by km squared has firebreaks in rectangular strips 50km by .01 km. The trees between two firebreaks are called a stand of trees. All firebreaks in this forest are parallel to each other and to one edge of the forest, with the first and last firebreaks at the edges of the forest. The firebreaks are evenly spaced throughout the forest. The total area lost in the case of a fire is the area of the stand of trees in which the fire started plus the area of all the firebreaks. a) Find the number of firebreaks that minimizes the total area lost to the forest in the case of a fire. b) If a firebreak is 50 km by b km, find the optimal number of firebreaks as a function of b. If the width, b, of a firebreak is quadrupled, how does the optimal number of firebreaks change? 2)Now suppose firebreaks are arranged in two equally spaced sets of parallel lines, one set vertical and the other set horizontal. The forest is a 50 km by 50 km square, and each firebreak is a rectangular strip 50 km by 0.01 km. Find the number of firebreaks in each direction that minimizes the total area lost to the forest in the case of a fire. ANY HELP WOULD BE APPRECIATED thanks :[