The combined Model $1$ & Model $2$ production capacities are $150,000$ units at Plant A and $180,000$ units at plant B and $30,000$ units at Plant C$.$ The Model $3$ production capacities are $100,000$ units at Plan A and $90,000$ units at the plant B and $40,000$ at Plant C$.$ The cost of shipping from plant A is $$0\mathrm{.}2$ per unit and from plant B is $$0\mathrm{.}25$ per unit and from Plan C $0\mathrm{.}3.$