A local power company charges $$\$ 0.08$$ per $\mathrm{kW}$-hr of energy used and pays $$\$ 0.02 \mathrm{~kW}-\mathrm{hr}$$ that a customer supplies back to the power company's system. A $3 \phi$, four-pole, $60 \mathrm{~Hz}$, $440 \mathrm{~V}, Y$-connected motor with the following parameters: $R_s=0.8 \Omega, X_s=1.9 \Omega$, $X_r^{\prime}=1.9 \Omega, R_r^{\prime}=0.45 \Omega$, and $X_m=\infty$, is employed at a local construction site to raise and lower a hoist. The motor speed in the "raise" mode is $1600 \mathrm{rpm}$ and the speed in the "lower" mode is $2000 \mathrm{rpm}$, and the shaft always turns in the same direction because of a mechanical gearbox. If it takes 10 seconds to raise the loaded hoist and 5 seconds to lower the hoist, find the total cost to operate the hoist through one complete raise-and-lower cycle. Neglect rotational losses.