(Question 5) 8 points A closed box with a square base is pro…
(Question 5) 8 points A closed box with a square base is produced using metal for the square bases and plastic for the sides. The material costs are $10 per square inch for metal and $2 per square inch for plastic. The volume of this box is to be 1000 in3. Draw and label a figure representing this situation. Write an equation for the total cost to produce this box. Use calculus to find the dimensions of the box that minimize the total cost. Show your analysis.