After class, you and your fellow Linear Algebra chums decide to make some food.

Question

After class, you and your fellow Linear Algebra chums decide to make some food. You have 12 pounds of butter, 8 cups of sugar, and 16 cups of flour. You also have a recipe book, which consists of exactly five recipes:1

Butter Cookies – each batch takes 2 pounds of butter, 1 cup of sugar, and 2 cups of flour.

Sugar Cookies – each batch takes 2 pounds of butter, 1 cup of sugar, and 2 cups of flour.

Biscuits – each batch takes 1 pound of butter, 1 cup of sugar, and 2 cups of flour.
Flour Pie – each pie takes 2 pounds of butter, 1 cup of sugar, and 3 cups of flour.

Butter Cake – each cake takes 3 pounds of butter, 2 cups of sugar, and 1 cup of flour.

You are not permitted to make fractional batches, cakes, or pies. Assuming you use all of your ingredients, the question is: what combinations of baked goods are possible? Of course, we would allow solutions with, say, no flour pie, but not -3 or 1.4 flour pies.

Explanation / Answer

I have one solution.we can make 4 sugar cookies which will use

4*2=8 butter

4*1=4 sugar

4*2=8 flour

and 4 Biscuits which will use

4*1=4 butter

4*1=4 sugar

4*2=8 flour

and the total of butter is 8+4=12

sugar is 4+4=8

flour is 8+8=16

which is equal to the given quantity.

Hope you understand my solution.If you have any doubt please comment.Please rate if you like my solution.Thank you so much.

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