Find an initial solution to the following transportation problem.

$$

To

From

A

B

C

Supply

X

$$$$10$

$$$$19$

$$$$12$

$150$

Y

$$$$17$

$$$$13$

$$$$9$

$100$

Z

$$$$20$

$$$$18$

$$$$14$

$50$

Demand

$80$

$120$

$60$

Part $2$

Based on the given demand and$$ supply, the given transportation problem is

$$

balanced

unbalanced

$.$