Question

Ahmet Say is a student of Bahçeşehir College. During the pandemic period, he spends a total of 10 hours studying and playing every day except Sunday. He likes playing games three times more than studying. They must study at least twice the time they play games. Ahmet knows that it is necessary to study at least 3 hours a day (except Sunday). To maximize his daily pleasure, create a linear programming model that will determine the hours of study and play. (Create only the LP model, do not solve the problem) Yanitiniz:

Answer 1

LET US DENOTE STUDYING HOURS BY "X" AND PLAYING HOURS BY "Y"

SO, by 1st condition we know

X + Y = 10

they must study atleast twice the time they play, is  given by

X >= 2Y

It is necessary to study atleast 3 hours a day

X >= 3

Thus LPP model is given by

Objective Function : Maximum Z = 10 = X + Y

Constraints : X >= 2Y

X >= 3

where X, Y > 0