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Part $1$

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 $1/$ of a day and $1/$ 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 $1/$ 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 and $,$respectively$,$ per vehicle sold.