Maximize profit = $4X + $5Y Subject to constraints: 5X + 2Y = 40 3X + 6Y =30 X = 7 2X - Y =3 X, Y = 0 USE THE GRAPHICAL SOLUTION TO ANSWER THE...

Maximize profit = $4X + $5YSubject to constraints:5X + 2Y <= 403X + 6Y <=30X <= 72X - Y >=3X, Y >= 0USE THE GRAPHICAL SOLUTION TO ANSWER THE FOLLOWING QUESTIONS. EACH QUESTION IS INDEPENDENT OF THE OTHERS. DETERMINE IF (AND HOW) THE FOLLOWING CHANGES WOULD AFFECT THE OPTIMAL SOLUTION VALUES AND/OR PROFIT.a.) A TECHNICAL BREAKTHROUGH RAISES THE PROFIT PER UNIT OF Y TO $10.b.) THE PROFIT PER UNIT OF X DECREASES TO ONLY $2.c.) THE FIRST CONSTRAINT CHANGES TO 5X + 2Y <= 54

Maximize profit = $4X + $5YSubject to constraints:5X + 2Y <= 403X + 6Y <=30X <= 72X - Y >=3X, Y >= 0USE THE GRAPHICAL SOLUTION TO ANSWER THE FOLLOWING QUESTIONS. EACHQUESTION...