Please use lingo in explicit form and provide code. Thank you. $3\mathrm{.}4-10.$ Web Mercantile sells many household products through an For textbook problem $3\mathrm{.}4-10,$ formulate and solve by LINGO in explicit form $($mixing online catalog. The company needs substantial warehouse space for numbers with variables in the equations$).$ The decision variable Minimize C$=65($x$\_11+$x$\_21+$x$\_31+$x$\_41+$x$\_31)+100($x$\_12+$x$\_22+$x$\_12+$x$\_42)$

$+135($x$\_13+$x$\_23+$x$\_33)+160($x$\_14+$x$\_24)+190$ x$\_15$

Subject to Constraints,

x$\_11+$x$\_12+$x$\_13+$x$\_14+$x$\_15>=30,000$

x$\_12+$x$\_13+$x$\_14+$x$\_15+$x$\_21+$x$\_22+$x$\_23+$x$\_24>=20,000$

x$\_13+$x$\_14+$x$\_15+$x$\_22+$x$\_23+$x$\_24+$x$\_31+$x$\_32+$x$\_33>=40,000$

The objective is to minimize the total leasing cost for meeting the space requirements.

x$\_14+$x$\_15+$x$\_23+$x$\_24+$x$\_32+$x$\_13+$x$\_41+$x$\_42>=10,000$

$($a$)$ Formulate a linear programming model for this problem.

x$\_15+$x$\_24+$x$\_33+$x$\_42+$x$\_31>=50,000$

x$\_$i j$>=0,$ for i$=1,...,5$ and j$=1,...,6-$i