Asked by She
A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal parts of dark chocolate and caramel and Candy B consists of two parts of dark chocolate and one part of walnut. The company has in stock 430 kilograms of caramel, 360 kilograms of dark chocolate, and 210 kilograms of walnuts. The company sells Candy A for P285 and Candy B for P260 per kilograms. How much of each candy should the manufacturer produce to maximize profit?
Answers
Answered by
qwe
sadasd
Answered by
Myrrh Castle
P=285x+260y
x+2y<360 - eq. 1
X<430 -eq.2
Y<210 -eq.3
--GRAPHING THE INEQUALITIES--
Eq.1
X=0,y=180
Y=0,x=360
Eq.2 and Eq. 3, no need it is given
--Extreme Points--
(0,180)
(360,0)
(-60,150)
(430,-35)
Substitute these points to our Objective Function P
(0,180) = 46,800
(360,0)=102,600
(-60,150)=21,900
(430,-35)=113,450
So, the answer is (x=430, y=-35)
*please double check if there are errors
x+2y<360 - eq. 1
X<430 -eq.2
Y<210 -eq.3
--GRAPHING THE INEQUALITIES--
Eq.1
X=0,y=180
Y=0,x=360
Eq.2 and Eq. 3, no need it is given
--Extreme Points--
(0,180)
(360,0)
(-60,150)
(430,-35)
Substitute these points to our Objective Function P
(0,180) = 46,800
(360,0)=102,600
(-60,150)=21,900
(430,-35)=113,450
So, the answer is (x=430, y=-35)
*please double check if there are errors
Answered by
Matthew
Where did you get the (-60,150) and (430,-35)? Thanks!
Answered by
Cherry
Eh Alright lets see what is going on here
Answered by
Cherry
So do you think you would add subtract multiply or divide when you pick one of those add, subtract, multiply, or divide it and then you will have your answer