While completing this homework, imagine the study space you are using employs a space heater with a rating of \(30 \mathrm{~kW}\), a refrigerator (for snacks) that is rated for \(5 \mathrm{~kW}\), and a light fixture with \(2100 \mathrm{~W}\) bulbs, all operating at a constant rate for the \(1.5 \mathrm{~h}\) it takes you to finish.

a. What is the total power consumed at any given moment?

b. How much energy do you consume to complete the task?

c. Assume your local power company, XEnergy, charges 6.5 cents per unit of energy in part

b, how much did it cost you to complete the assignment?

d. If you wanted to pay XEnergy \(\$ 5\), what would be the power rating of an additional appliance you would need to turn on?