A amalf furniture manufacture produces tabies $($T$),$ desks $($D$)$ and chars $($C$)$ Each product must so through three stages of the manufacturing process$-$assembly, finishiry, and inspection. Each table requires $3$ hours of assembly, $2$ hour of finishine, and $1$ howar of inspection. Each desk requires $1\mathrm{.}5$ hours of assembly. $2\mathrm{.}5$ hours of finishing and $2$ hours of inspection Each dow. requires $2$ hours of assembly, $3$ hours of fimishime and $1$ hour of inspection. The return per tatak is $$100,$ while the return per desk is $$70$ and the return per chair is $$50.$ Currentiy, each weok there are available $300$ hours of assembly time, $200$ hours of finishing time, and $100$ thours 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 bers return? ro do this answer the following questions.

Q$16.$ The cromis.

Q$19.$ The constraint regarding stage of assembly hours is

a$.3T+1\mathrm{.}5D+2C300$

b$.3T+2D+1C300$

c$.2T+3D+1\mathrm{.}5C300$

d$.3T+1\mathrm{.}5D+2C300$

e$.$ none of them