The Northwest Division of Kebalo Electric produces hydroelectric power. The power plant has seven machines that can harvest hydroelectric power on a continuous process such that the capacity of the plant is $5,000$ machine hours per month. The plant produces three types of electric power. Energy type "Standard" is not easily stored, energy type "Super" is easier to store and send to more remote regions, and energy type "Bad" has no external market. However, energy type "Bad" is easily transferred to the Southwest Division of Kebalo Electric where it can be transferred into a marketable energy source by the Southwest Division. The Southwest Division can further process the "Bad" energy at a variable cost of $$1$ per unit and sell it for $$5$ per unit. The selling price for the energy types are as follows $($note: a unit of energy is a kilowatt$-$hour$)$:

"Standard" $-$ Selling Price: $3\mathrm{.}5,$ VC$/$unit: $1,$ FC: $2000,$ Machine Hrs$/$unit: $0\mathrm{.}25,$ External Demand in units: $1500$

"Super" $-$ Selling Price: $6,$ VC$/$unit: $2,$ FC: $1500,$ Machine Hrs$/$unit: $0\mathrm{.}5,$ External Demand in Units: $3000$

"Bad" $-$ Selling Price: $--,$ VC$/$unit: $3,$ FC: $1000,$ Machine Hrs$/$unit: $1,$ External Demand in units: $--$

$1.$ What is the optimal transfer pricing schedule for the Northwest Division to charge the Southwest Division for $$Bad$$ energy for the first $0-3,125$ units.

a$.0$

b$.3$

c$.11$

d$.13$

$2.$ What is the optimal transfer pricing schedule for the Northwest Division to charge the Southwest Division for $$Bad$$ energy for the next $3,126-4,625$ units.

a$.0$

b$.3$

c$.11$

d$.13$

$3.$ What is the optimal transfer pricing schedule for the Northwest Division to charge the Southwest Division for $$Bad$$ energy for the next $4,626-5,000$ units.

a$.0$

b$.3$

c$.11$

d$\mathrm{.}13$