Or-lp problems only - LINEAR PROGRAMMING 1. Two models of...

LINEAR PROGRAMMING
1. Two models of color TV A and B are produced by Davao Electronics
Corporation. The company is in the market to make money or to maximize
profit. The profit realized is P3000 from Set A and P2500 from each unit of
Set B. The limitations are as follows:
(1) Availability of only 40 hours of labor each day in the production
department,
(2) A daily availability of only 45 hours of machine time, a machine
constraint,
(3) Inability to sell more than 12 units of Set A each day.
Each set of Model A requires 2 hours of labor whereas each set of B requires
only 1 hour; each set of A requires 1 hour of processing time, while each set
of B, 3 hours. Formulate the problem.
2. In preparing Sungold paint, it is required that the paint have a brilliance
rating of at least 300 degrees and a hue level of at least 250 degrees. The 2
ingredients Alpha and Beta determine brilliance and hew levels. Both Alpha
and Beta contribute equally to the brilliance rating, one ounce of either
producing one degree of brilliance in one case of paint. However, the hue is
controlled entirely by the amount of Alpha, one ounce of it producing three
degrees of hue in one case of paint. The cost of Alpha is P45.00 per ounce,
and the cost of Beta is P12.00 per ounce. Assuming that the objective is to