A bioenergy company produces two products

namely biodiesel and renewable diesel. Each

Unit of biodiesel requires $2$ hour of labour and

$3$ hour of reaction tme, and each unit of ren$-$

ewable diesel would need $4$ hour of labour

and I hour of reaction time. The company has

$100$ hour of labour and $120hr$ of reaction time available.

Each unit of biodiesel sells for #$10$ and each units

of renewable sells for #$8$

Using the above information, answer the following

questions.

$(1)$ Formulate the optimizafion problem which is capable

of helping the company to maximise their profit

$(11)$ Solve the problem formulated in $(1)$ above