Precal-Minimum

Question

An oil company owns two refineries. The daily production limits and operating costs for each refinery are given in the table below. An order is received for 1540 barrels of high-grade oil, 1650 barrels of medium-grade oil, and 2860 barrels of low-grade oil. How many days should each refinery operate so that the order can be filled at the least cost?

Refinery 1 Refinery 2
High-grade oil (barrels) 110 220
Medium-grade oil (barrels) 220 110
Low-grade oil (barrels) 330 220
Operating cost (barrels) 14,000 8,000

X = _________

Y = _________

Constraints:


Objective Function: __________


Least Cost: ___________

Answer 1

This problem tests your skills with turning a word problem into a mathematical representation. It involves optimization with constraints and may require using a bit of calculus to find the max/min.

 

This problem is pretty involved and will take about 10 minutes of setup and solving. We could solve this problem and others asap if we schedule a first session.