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Jane was given the following advice. she should supplement her daily diet with at least 5000 USPP units of Vitamin A, at least 195 mg of Vitamin C, and at least 700 USP units of Vitamin D. she also finds that Mason's Pharmacy carries Brand X and Brand Y vitamins. Each Brand X pill contains 3000 USP units of A, 45mg of C, and 75 USP units of D, whiles the Brand Y pills contain 1000 USP units of A, 50 mg of C, and 200 USP units of D. Let x represent the number of Brand X pills, and let y represent the number of Brand Y pills. Write a system of inequalities for the problem and then graph the region of feasible solutions of the system.

 

So yeah its a pretty big confusing question because It also asks me to make a correct graph of the region of feasible solutions of the system of course I would be able to graph it after I find out the system of inequalities. Ill be checking up on this question to see if anyone is interested on helping my answer it so that I could at least show some of the answers Ive gotten so we can compare. At least if someone actually answer it.... It woud really mean alot.

Thanks.

 Jan 13, 2015

Best Answer 

 #1
avatar+130536 
+5

We have the following system

3000x + 1000y ≥ 5000

45x + 50y ≥ 195

75x + 200y ≥ 700      where x and x  are  the number of Brand X and Brand Y pills respectively

Here's a graph of the system....https://www.desmos.com/calculator/jgls3flfph

The intersection of these inequalities occurs at the corner point (.57, 3.29)   .....  this means that about 1/2 of a Brand X pill and about 3+ 1/4  Brand Y pills  provide the nececessary units subject to the original constraints.

This answer isn't exactly what we might expect, but that's the way the math works out...!!!

 

 Jan 13, 2015
 #1
avatar+130536 
+5
Best Answer

We have the following system

3000x + 1000y ≥ 5000

45x + 50y ≥ 195

75x + 200y ≥ 700      where x and x  are  the number of Brand X and Brand Y pills respectively

Here's a graph of the system....https://www.desmos.com/calculator/jgls3flfph

The intersection of these inequalities occurs at the corner point (.57, 3.29)   .....  this means that about 1/2 of a Brand X pill and about 3+ 1/4  Brand Y pills  provide the nececessary units subject to the original constraints.

This answer isn't exactly what we might expect, but that's the way the math works out...!!!

 

CPhill Jan 13, 2015

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