A factory produces product A and product B.
It takes 1,6x 4y and 14z to make 1 unit of A
It takes 4x 2,4y and 20z to make 1 unit of B

We have 4000x, 4800y and 20000z at our disposal.

What is the biggest number of combined units (As and Bs) we can make in total, and how to you proceed to find this out?

Question

A factory produces product A and product B. 
It takes 1,6x 4y and 14z to make 1 unit of A
It takes 4x 2,4y and 20z to make 1 unit of B

We have 4000x, 4800y and 20000z at our disposal.

What is the biggest number of combined units  (As and Bs) we can make in total, and how to you proceed to find this out?

anonymous · Answer

This is a long linear programming question, so take it step by step.

1. Assume you make a A's and b B's.  Write expressions for how many x's, y's, and z's you will use to produce them.