Question $1$

$(15$ points$)$ A manufacturing facility produces two products, A and B$.$ The products consume

resources and generate profit as shown in the table below:

Additionally, the profit per unit for the products is as follows:

A product: $30TL$

B product: $40TL$

The facility must produce each product at a certain quality level. The quality of the products is

related to the resource consumption rates. Formulate and solve a Linear Programming $($LP$)$ model

to maximize the tetal profit while ensuring the quality requirements.