Chapter 6.4, Problem 5MP

Suppose that the refinery in Example 5 has $35,000$ barrels of component $A$, which costs $\text{\$}25$ a barrel, and $15,000$ barrels of component $B$, which costs $\text{\$}35$ a barrel. If all other data remain the same, formulate a linear programming problem to find the maximum profit. Do not attempt to solve the problem (unless you have access to software that can solve linear programming problems).