Question

Green Vehicle​ 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 ​1/25 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 $ 275 and $ 250​, ​respectively, per vehicle sold.

The optimum solution​ is: Number of trucks to be produced per day​ =

The optimum solution is: Number of cars to be produced per day =

Answer 1

Variables:

C1 = total number of cars

T1 = total number of trucks

Objective function :

Max : 275 T1 + 250 C1

Constraints

0.04 T1 + 0.0167 C1 < = 1

0.02 T1 + 0.02 C1 <=1