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Kristin Helmud is the general manager of Highland Inn, a local mid$-$priced hotel with $100$ rooms. Her job objectives include

providing resourceful and friendly service to the hotel's guests, maintaining an $70\%$ occupancy rate, improving the

average rate received per room to $$106$ from the current $$102,$ achieving a savings of $4\%$ on all hotel costs, and reducing

energy use by $8\%$ by carefully managing the use of heating and air conditioning in unused rooms and by carefully

managing the onsite laundry facility, among other means. The hotel's owner, a partnership of seven people who own

several hotels in the region, wants to structure Kristin's future compensation to objectively reward her for achieving these

goals. In the past, she has been paid an annual salary of $$90,000$ with no incentive pay. The incentive plan the partners

developed has each of the goals weighted as follows:

If Kristin achieves all of these goals, the partners determined that her performance should merit a bonus of $$48,000.$ The

partners also agree that her salary will need to be reduced to $$78,000$ because of the addition of the bonus.

The goal measures used to compensate Kristin are as follows:

Kristin's new compensation plan will thus pay her a $$78,000$ salary plus $28\mathrm{.}18$ cents per room$-$night sold plus $$4,200$ for

each percentage point saved in the expense budget plus $$42$ for each cent increase in the average room rate plus $$900$

for each percentage point saved in energy use. The minimum potential compensation would be $$78,000$ and the

maximum potential compensation for Kristin would be $$78,000+$$$48,000=$$$126,000$

Required:

Based on this plan, what will Kristin's total compensation be if her performance results are: $($Round your answers to the nearest

whole dollar amount.$)$

a$.30,000$ room$-$nights, $4\%$ saved, $$4\mathrm{.}00$ rate increase, and $6\%$ reduction in energy use.

b$.25,000$ room$-$nights, $2\%$ saved, $$2\mathrm{.}15$ rate increase, and $3\%$ reduction in energy use.

c$.28,000$ room$-$nights, $0\%$ saved, $$2\mathrm{.}00$ rate increase, and $2\%$ reduction in energy use.