A company wants to know the most profitable ‘mix of its products. It manufactures transistor resistors and electric tubes at a profit of sh 100 , sh 60and sh 40 respectively. To produce transistors ie requires 1 hour of engineering services, 10 hours of direct labour and 2 hours of administrative services. For resistors it requires 1 hour, 4 hours, 2 hours of engineering, direct labour and administration respectively. To produce electric tubes it requires 1 hour of engineering, 5 hours of direct labour and 6 hours of administration. There are 100 hours of administration available in the company. Transform this information into a linear programming problem