The small town of Happy Valley has seen a large influx of families with young children in the wake of the COVID-19 pandemic. These new families are considering pooling their resources to create a new public playground. There are three proposals for the playground: (1) Tier 1, a swing set; (2) Tier 2, a swing set plus a climber; and (3) Tier 3, a swing set and climber plus multiple slides. The total costs for building each version are listed below. Assume the playground would cost nothing to maintain.It turns out that the area where the playground will be located is on the border of Joyville, a neighboring town. Joyville has also seen a recent influx of families with young children, and there is no existing playground in Joyville. The table below shows the total benefits that would accrue to Happy Valley and Joyville families from the different tiers of the playground.

Total Costs: Total Benets: Ham Valley Families Jo' e Families No playground $0 $0 $0 Tier 1 (swings) $5,000 $6,000 $1,000 Tier 2 (plus climber) $12,000 $15,000 $3,000 Tier 3 (plus slides} $20,000 $22,000 $6,000 A. Which playground tier would be socially efficient to build? a. No playground b. Tier 1 (swings) c. Tier 2 {+ climber) d. Tier 3 {+ slides) Explain your reasoning for part A (above) and provide numerical support for your answer: B. Which playground tier would you expect Happy i.falley families to choose? a. No playground b. Tier 1 (swings) c. Tier 2 {+ climber) d. Tier 3 (+ slides) Explain your reasoning for part B (above) and provide numerical support for your