Harkin Electronics is planning its production next quarter for its two product lines, relays and capacitors. Profit contribution is $250 for a case...

1. Harkin Electronics is planning its production next quarter for its two product lines, relays and capacitors. Profit contribution is $250 for a case of relays and $200 for a case of capacitors. The company uses three resources to produce its product. Labor, stamping capacity and testing capacity.  Next quarter 80,000 hours of labor will be available; a case of relays requires 200 hours of labor and a case of capacitors require 150. The company has two stamping machines each are available for 800 hours next quarter, and a case of relays requires 4 hours on the stamping machine and a case of capacitors require 2 hours. Relays require 5 hours on the testing machine and capacitors require 3 hours. The testing machine will be available for 2,000 hours next quarter. The company has outstanding orders for 500 relays.   Formulate as a linear programming problem.

2. The Surest Concrete Company produces concrete in a continuous process. Two ingredients in the concrete are sand which Surest purchases for $6 per ton and, and gravel, which costs $8 per ton. Sand and gravel together must make up exactly seventy-five percent of the weight of the concrete. Furthermore, no more than 40 percent of the concrete can be sand and at least 30 percent of the concrete must be gravel. Each day 2,000 tons of concrete are produced.  Formulate as a linear programming problem.