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Problem 2. (1 point) According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "girth" we mean the porimater of the ural out and. What is the largest powible volume of a recingular parcol with a squire can be sent by mail? Such a package is shown below /assume y 3 2. What are the dimensions of the package of bigest volume? Remaining time 116.5 Find a formula for the volume of the parcel in terms of c and y. Volume = The problom statement tells us that the parcel's girth plus longth may not exceed 108 inches In order to maximize volume, we assume that we will actually need the girth plus length to equal 108 inches. What equation does this produce involving r and y? Equation Solve this equation for y in forms of = Find a formula for the volume V(x) in forms of x. VE = What is the domain of the function | 3 Note that both & and y must be positive, consider how the constraint that girth plus length is 108 inches limits the possible values for &, Give your answer using Interval notation Domain Find the sooolute maximum of the volume of the parcel on the domain you aalabished slove and hence also delemine the dimensions of the box of greatest volume Maximum Volume = Optional dimension.= = and y=