Company selling product algebra

Question

A company sells one product for $8000 and another for $2000. How many of each product must be sold so that revenues are at least $10000? Let x represent the number of products sold at $ 8000 and let y represent the number of products sold at $ 2000. Graph all possible solutions. On the graph the marks are in thousands of dollars.

Answer 1

8000x +2000y = 10000, divide by 2000

4x + y = 5

endless possibilities

(x,y) = (1,1)

or (0,5)

or (5/4, 0)

or (x, 5-4x)

or ( (5-y)/4, y)

where x and y are each 0 or more, and x <5/4, y <5