A chemist wants to mix two kinds of glycerins for the manufacture of a soap. The glycerin from supplier A cost $1 million per ton and the glycerin from supplier B costs $1.5 million per ton. The chemist is obligated to buy no more than twice as much glycerin from supplier B as she does from supplier A. Furthermore, the chemist must buy at least 7 tons but no more than 9 tons from supplier A. How much should the chemist buy from each supplier to minimize the cost of her purchase.

2 answers

How much should the chemist buy from each supplier to minimize the cost of her purchase>>

buy the required 7 tons from A, zero from B. That minimizes the cost.

Wouldn't it be wonderful if problems asked what they really wanted?
How many different outcomes could there be when rolling three 6 sided dice ?