Question 1133589
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The problem is poorly formulated, because the given information yields a feasibility region with corners that have coordinates that are not whole numbers, making it exceedingly difficult to find the answer to the problem.<br>
I will go ahead and help you see how to set up the problem for solving; I hope that much will be of some help to you.<br>
It looks as if you don't have a clear understanding of what your "x" and "y" represent, and you are just writing equations using the numbers in the problem without understanding what those numbers mean.  You use some of the numbers in the problem in ways that make no sense; and you don't use some of the critical numbers.<br>
The unknowns x and y are the numbers of batches of the two kinds of desserts.  Based on that, your objective function x = 1.73x+1.75y makes sense -- the profit is $1.73 for each of the x batches of Nutty Squirrels and $1.75 for each batch of the White Chocolate Blizzards.<br>
The 29 and 48 in the problem are the least and greatest numbers of batches of White Chocolate Blizzards that the company can make; the 6 and 36 are the least and greatest numbers of batches of Nutty Squirrels the company can make.  Since x and y are the numbers of batches of each kind of dessert, that information tells you<br>
6 <= x <= 36
29 <= y <= 48<br>
The only constraint in the problem, other than the minimum and maximum numbers of each kind of dessert, is the number of ounces of flour available.  There are 864 ounces of flour available; each batch of White Chocolate Blizzards takes 9 ounces of flour, and each batch of Nutty Squirrels requires 16 ounces of flour.  The constraint is then<br>
9x+16y <= 864.<br>
So the constraints on the numbers the two kinds of desserts, which determine the feasibility region, are<br>
(1) 6 <= x <= 36
(2) 29 <= y <= 48
(3) 9x+16y <= 864<br>
The corners of the feasibility region based on those constraints are<br>
(6,29), (6,48), (32/3,48), and (400/9,29).<br>
As I said at the beginning of my response, those non-integer coordinates make the problem solvable only by extensive guessing, from which you gain no useful mathematical knowledge.