You may use your notes and a calculator. You must show all work for credit on these problems.3.If we assume labor is the only input to production that can be varied, the relationship between the number of barrels of beer Q (in millions) produced at the Boston Beer Company and the number of employees L (in thousands) from 2000 to 2007 isQ=-10.792L'11.816t20.557tFind the point of diminishing retums.Explain what this point means in the context of the Boston Beer Company. What is the relationship between the production number of barrels of beer and the number of employees?4. An 80 cm piece of wire is cut into two pieces. One piece is bent into an equilateral triangle and the other will be bent into a rectangle with one side 4 times the length of the other side. Determine where, if anywhere, the wire should be cut to maximize the area enclosed by the two figures.