13.4 Memo Problem: Revenue Projections

To: Analysis Staff
From: Project Management Director
Date: May 29, 2008
Re: Revenue Projections at Dream Grills

One of our smaller clients, Dream Grills, sells its one product, the Dream Grill 5000, in two forms: assembled and unassembled. Based on economics theories about substitute commodities, they have been making projections and analyses for their business plan based on the following models of their revenue.

R (QA, QU )  =  QAPA   + QU PU

        PA   =  462 - 0.1QU  - 0.35QA
        PU   =  372 - 0.20QA  - 0.16QU

In these models, the P and Q refer to the price and the quantity of the two items; the subscripts A and the U refer to the ”assembled” and ”unassembled” versions of the product. Thus, the quantity PA is the price of the assembled grills, based on the quantities of each version that are sold.

The company has collected revenue and quantity sales data for the last 50 weeks. Formulate a regression model for the revenue and compare the two models, yours and theirs, using graphical and analytical tools you feel are appropriate to illustrate the differences.

Attachments: Data File C13 Revenue.xls [.rda]