Question 1199213
Let {{{x}}} be the amount (in kilograms) of Candy A that is produced, and let {{{y}}} be the amount of Candy B that is produced. The profit that the manufacturer makes is {{{285x+260y}}}. However, the constraints are that {{{x<=430}}}, {{{x+2y<=360}}}, and {{{y<=210}}}.
We can see that it is optimal to have {{{x+2y=360}}}, since moving it off of that line would only decrease the profit. Multiplying both sides of that by {{{130}}}, we get {{{130x+260y=46800}}}. Adding {{{155x}}} to both sides, we get {{{285x+260y=155x+46800}}}. We can see that we got out profit into a form that doesn't involve {{{y}}} at all, so we should just maximize {{{x}}}. The highest value of {{{x}}} that satisfies all of the constriants is {{{x=360}}}. Therefore, the candy manufacturer should produce {{{360}}} kilograms of Candy A, and {{{0}}} kilograms of Candy B.