Green Vehicle$$ Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C$1$ car and the T$1$ truck can both be manufactured. To make either$$ vehicle, processing in the assembly shop and in the paint shop are required. It takes $1/30$ of a day and $1/75$ of a day to paint a truck of type T$1$ and a car of type C$1$ in the paint$$ shop, respectively. It takes $1/45$ of a day to assemble either type of vehicle in the assembly shop.

A T$1$ truck and a C$1$ car yield profits of $$325$ and $$$$225$respectively$,$ per vehicle sold. The aim ofthe objective function for Green Vehicle Inc. should be to Maximize the objective value.

The optimum solution$$ is:

Number of trucks to be produced per day$=$ Number of cars to be produced per day $=$