The onato company produces chairs, lamps and tables. each chair requires 6 minutes in machine center a, 5 minutes in machine center b, and 8 minutes in machine center c. each lamp produced requires 5, 4, and 5 minutesin machine centers a, b, and c respectively. likewise, each table produced requires 6, 4, and 6 minutes in machine centers a, b, and c respectively. the company has daily availability of 2,400 minutes in center a, 2,000 minutes in center b and 3,000 minutes in machine center c. each chair gives 50 (pesos) profit, a lamp gives 100 (pesos) and a table gives 200 (pesos). find the number of each type of products to produce in order to maximize the company’s profit?