$\backslash$table$[[\backslash$table$[[$Specialized$],[$Assembly$],[$Type$]],\backslash$table$[[$Fastening$],[$Bolts$]],\backslash$table$[[$Steel Plate$]],\backslash$table$[[$Connerstion$],[$Brackers$]],],[1,1500,2000,700,45],[2,2000,2500,500,55],[3,1200,1250,800,47],[4,2500,1750,550,35],[[$kg$],[$kg$],[$kg$],],[$vailable$,1,000,000,2,200,000,500,000,]]$

assemblies for the heavy construction equipment industry is considering introducing $4$ new assemblies to the market. The material specifications, amount of resources available and potential profit per unit are provided in the table below. Because of production constraints, the company must use at least $900,000kg$ of Steel Plate in its production mix. In addition, for each unit of Assembly Type $2$ it produces, it must produce $2\mathrm{.}5($times$)$ of Assembly Type $1.$ At least $300$ Assembly Type $1$ units must be produced. Assuming the company can sell all products it makes, develop a linear programming $($LP$)$ model that can be solved to obtain the optimal manufacturing strategy, to maximize profit.

Let the number of units of Type $1,$ Type $2,$ Type $3,$ and Type $4,$ assemblies be: $x1,x2,x3,$ and X$4,$ respectively.