21) setup the linear programming model but do not solve

Setup the Linear Programming Model but Do NOT Solve: North American Housing is a builder of 3 types of modular homes, a rambler, spilt-level, and deluxe. The rambler requires 400 worker-days of carpentry, 10 worker-days of painting and sells for a profit of $3000. The split-level requires 300 worker-days of carpentry, 20 worker-days of painting and sells for a profit of $4000. The deluxe requires 500 worker-days of carpentry, 30 worker-days of painting and sells for a profit of $6000. North America Housing has available 7 worker-days of carpentry and 2600 worker-days of painting. North America Housing must also produce exactly twice as many ramblers as split-levels. Also, the total number of homes built can be no more than 85. The builder will choose the number of each type of house it builds in order to maximize its profit. Let X1 represent the number of rambler, X2 represent the number of split level and X3 represent the number of deluxe. Setup the problem. Write The LP Model Here