A small furniture manufacturer produces tables $($T$),$ desks $($D$)$ and chairs $($C$).$ Each product must go through three stages of the manufacturing process $-$ assembly, finishing, and inspection. Each table requires $3$ hours of assembly, $2$ hours of finishing, and $1$ hour of inspection. Each desk requires $1\mathrm{.}5$ hours of assembly, $2\mathrm{.}5$ hours of finishing, and $2$ hours of inspection. Each chair requires $2$ hours of assembly, $3$ hours of finishing, and $1$ hour of inspection. The return per table is $$100,$ while the return per desk is $$70$ and the return per chair is $$50.$ Currently, each week there are available $300$ hours of assembly time, $200$ hours of finishing time, and $100$ hours of inspection time. To keep a balance, the number of desks produced should not exceed three times the number of tables.

Formulate linear programming to compute amounts should be invested in each type to get best return? To do this answer the following questions.

Q$16.$ The constraint regarding stage of finishing is

$[1\mathrm{.}5$ Mark each$]$

a$.3T+2\mathrm{.}5D+2C200$

b$.1\mathrm{.}5T+2\mathrm{.}5D+2C200$

c$.2T+2\mathrm{.}5D+3C200$

d$.2T+2\mathrm{.}5D+3C200$

e$.$ none of them