Xpress Technologies offers complete web design, programming, implementation, and hosting services for customers. Xpress prices their services by the project and categorizes each customer request into one of three possible project categories: simple HTML design, requires Java/Flash coding, requires secure transaction capabilities. Xpress charges $3000 for each simple HTML design project, $5000 for each Java/Flash coding project, and $8000 for each project requiring secure transaction capabilities. Xpress has two types of employees that it assigns to these projects: graphic designers who make $32/hour and programmers who make $36/hour. The company currently has two graphic designers and four programmers; each employee can work up to a total of 40 hours per week. Xpress estimates that a simple HTML project will require 2 hours from the graphic designers and 4 hours from the programmers; projects requiring Java/Flash coding require 5 hours from the graphic designers and 6 hours from the programmers; projects requiring secure transaction capabilities require 7 hours from the graphic designers and 12 hours from the programmers. Xpress currently has requests for eight simple HTML projects, six Java/Flash projects, and seven projects requiring secure transaction capabilities.

1. Develop a linear program that will help Xpress Technologies to choose which of the projects to accept for the coming week to maximize profits. If required, round your answers to one decimal place. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300)

   Let X1	=	simple HTML projects accepted
   X2	=	projects requiring Java/Flash coding accepted
   X3	=	projects requiring secure transaction capabilities accepted

   MaxMinMax	fill in the blank 2 X1	+	fill in the blank 3 X2	+	fill in the blank 4 X3
   s.t.
   	fill in the blank 5 X1	+	fill in the blank 6 X2	+	fill in the blank 7 X3	=	fill in the blank 9	For graphic designers
   	fill in the blank 10 X1	+	fill in the blank 11 X2	+	fill in the blank 12 X3	=	fill in the blank 14	For programmers
   	fill in the blank 15 X1					=	fill in the blank 17
   			fill in the blank 18 X2			=	fill in the blank 20
   					fill in the blank 21 X3	=	fill in the blank 23
   			X1, X2, X3	=	fill in the blank 25

2. Find the optimal solution. Round your answers to the nearest whole number. The optimal decision is to accept ____ simple HTML projects, _____ Java/Flash projects and _______ secure transaction projects for a profit of $ _______.