Problem:
Graphical Minimization
The ABC small-scale industry has production facilities for two different products. Each of the products requires three different operations: grinding, assembling, and testing. Product 1 requires 30, 40, and 20 minutes to grind, assemble, and test, respectively; product 2 requires 15, 80, and 90 minutes for grinding, assembling, and testing. The production run calls for at least 15 hours of grinding time, at least 40 hours of assembling time, and at least 30 hours of testing time. if product 1 cost 10$ and product 2 cost 15$ to manufacture, find the number of units of each product the firm should produce in order to minimize the cost of operations.