A person wants to purchase two types of items, A and B, from a shop. She has $200 to spend, and she has to purchase at least 10 items. If the price of one unit of each A and B is $10 and $30, respectively, represent this

Question

problem graphically.
Thanks

Answer 1

graph it. let x axis be B, and y axis be A.

the intercepts are (0,20), and (200/30, 0) Think out why those are the intercepts.

Now you have one other line, on the at least 10 items constraint. Plot this line: 300/30,0 and 0,300/10 connect that line, it represents at least ten total. So you should find an area of solution of at least 10 items (above that line, and below the first line). A nice theorem tells us the solution is on one of the corners of the enclosed area. The other constraint is y>=0, and x>=0