Question 1193938
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An informal solution -- since your question has been sitting here for nearly two weeks without a response....<br>
One box of Chocolate Decadence requires 13 ounces of sugar; one box of Nutty Squirrels requires 9 ounces.  The amount of sugar available is 702 ounces.<br>
Given one combination of boxes that uses the entire 702 ounces of sugar, another solution can be found by increasing the number of Chocolate Decadence boxes by 9 and decreasing the number of Nutty Squirrel boxes by 13, or vice versa.<br>
Increasing the number of boxes of Chocolate Decadence by 9 increases income by 9($2.39) = $21.51; decreasing the number of boxes of Nutty Squirrels by 13 reduces income by 13(1.02)=$13.26; the net change is an increase of $8.25 in income.<br>
So clearly the bakery should produce the maximum number of boxes of Chocolate Decadence.<br>
The maximum number of boxes of chocolate Decadence is 45, requiring 45*13 = 585 ounces of sugar, leaving 702-585 = 117 ounces of sugar for making Nutty 
Squirrels.  Since each box of Nutty squirrels requires 9 ounces of sugar, the number of boxes of Nutty Squirrels is 117/9 = 13.<br>
ANSWER: Maximum income is with 45 boxes of Chocolate Decadence and 13 boxes of Nutty Squirrels.<br>