Saj and Shaurma, Co$.$ is a food processing plant which manufactures shaurma sandwiches and saj bread.

They grind their own flour for the bread at a maximum rate of $60$kg per week. Each saj bread requires

$45$ grams of flour. They currently have a contract with Sheapland, Inc., which specifies that a delivery

of $250$kg pounds of lamb meat is delivered every Monday. Each shaurma sandwich requires one saj

bread and $220$ grams of lamb meat. All the other necessary ingredients are in plentiful supply.

Finally, the labor force at Saj and Shaurma, Co$.$ consists of $6$ employees working full time $(45$ hours per

week each$).$ Each saj bread requires $3$ minutes of labor, and each shaurma sandwich requires $2$ minutes

of labor, $($with the saj bread made before$).$ Each shaurma sandwich yields a profit of $12$AED, and each

saj bread $($sold separately$)$ yields a profit of $2$AED.

Saj and Shaurma, Co$.$ would like to know how many shaurma sandwiches and how many saj breads

they should produce each week so as to achieve the highest possible profit.

$($a$)(5$ points$)$ Specify the decision variables:

$($b$)(5$ points$)$ Write down the objective function:

$($c$)(5$ points$)$ Write down the constraints: