A rectangular package has a combined length and girth (perimeter of a cross section) of 180 inches (see figure). (a) Write the volume V of the package as a function of x. V = What is the domain of the function? O0 45(b) Use a graphing utility to graph the function. Be sure to use an appropriate window setting. 2000- 500- 1500 400 300 V 1000 V 200 500 100 5 10 15 20 25 30 35 40 O X 5 10 15 20 25 30 35 40 O X 50000 12000 40000 10000 V 30000 8000 V 20000 6000 4000 10000 - 2000 5 10 15 20 25 30 35 40 O 5 X 10 15 20 25 30 35 40 O X(c) What dimensions will maximize the volume of the package? (Enter your values in increasing order.) X Explain your answer. From the graph, the ---Select--- v volume occurs when x =