The City of Wolfe issues its financial statements for Year $4($assume that the city uses a calendar year$).$ The city's general fund is composed of two functions: $(1)$ education and $(2)$ parks. The city also utilizes capital projects funds for ongoing construction and an enterprise fund to account for an art museum. The city also has one discretely presented component unit.

The government$-$wide financial statements indicate the following Year $4$ totals.

Education had net expenses of $$766,000.$

Parks had net expenses of $$163,000.$

Art museum had net revenues of $$58,250.$

General revenues were $$1,069,750.$ The overall increase in net position for the city was $$199,000.$

The fund financial statements for Year $4$ indicate the following:

The general fund had an increase of $$35,750$ in its fund balance.

The capital projects fund had an increase of $$45,750$ in its fund balance.

The enterprise fund had an increase of $$72,750$ in its net position balance.

Officials for the City of Wolfe define "available" as current financial resources to be paid or collected within $60$ days.

On the first day of Year $4,$ the city receives a painting as a gift that qualifies as a work of art. It has an expected life of $30$ years, is worth $$39,900,$ and is displayed by the city at one of the local parks. The accountant accidentally capitalizes and depreciates it although officials wanted to use the allowed alternative.

Respond to the following questions:

a$.$ According to the information provided, the general fund reported a $$35,750$ increase in its fund balance. If the accountant had used the allowed alternative, what would the city report as the change in fund balance for the general fund for the year?

b$.$ According to the information provided, the parks reported net expenses of $$163,000.$ If the accountant had used the allowed alternative, what would the city report as the correct net expense for parks for the year?

c$.$ Assume the same information except that the art was given to the art museum but then not recorded at all. What should have been the overall change in net position for Year $4$ on government$-$wide financial statements, assuming that officials still preferred the allowed alternative?