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A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal

part 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?​

Sagot :

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Answer:

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

Explanation:

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