A company manufactures two kinds of pinball machines, each requiring a different manufacturing technique. Each Super Ball machine requires 20 hours of labor, 7 hours of testing, and yields a profit of $300. Each Silver Ball machine requires 12 hours of labor, 8 hours of testing, and yields a profit of $200. There are 2000 hours of labor and 1000 hours of testing available.
The company has made contracts with the retailers to provide at least 60 Super Ball machines and at least 50 Silver Ball machines.
The manufacturer wants to determine how many of each kind of pinball machines to manufacture. The objective is to maximize the total profit.
Formulate a linear programming model for the above situation by determining
(a) The decision variables.
(b) The objective function.
(c) All the constraints.