Green Inc. manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of RM300 and RM220 respectively, per vehicle sold. 

a. Formulate the objective function and constraint equations. 

b. Graph and identify the feasible region. 

c. Determine the maximum quantity daily production plan at the new factory.  

d. Assuming whatever is produced is sold, measure the maximum profit will such a plan yield