In Parkland County there are three types of people: Couch Potatoes, Joggers, and Bicyclists. There are 2 people of each type in the county. The different types of people exercise different amounts and have different marginal benefits for any given size of public park. the marginal benefits for each type of person are: MBCP (A) =0
MBJ (A) =10-A/2
MBB (A)=20-A
where subscripts denote the type of person. The cost of A acres of park can be expressed as:
MC(A) =10+2A.
(1)Suppose the county government informs the voters that for each unit of A, each person will pay a tax of $10. What would be each person's preferred size of A?
(2)Suppose that the government of Parkland decides that it wants to provide the efficient size of park. Further suppose that the government decides it is now willing to charge different types of people a different tax to meet this goal and that it can tell different types of people apart. How much will the government charge each person?

For each of the following cases determine the ending balance in the inventory account. (hint: first, determine the total cost of inventory available for sale. next, subtract the cost of the inventory sold to arrive at the ending balance.)a. jill’s dress shop had a beginning balance in its inventory account of $40,000. during the accounting period jill’s purchased $75,000 of inventory, returned $5,000 of inventory, and obtained $750 of purchases discounts. jill’s incurred $1,000 of transportation-in cost and $600 of transportation-out cost. salaries of sales personnel amounted to $31,000. administrative expenses amounted to $35,600. cost of goods sold amounted to $82,300.b. ken’s bait shop had a beginning balance in its inventory account of $8,000. during the accounting period ken’s purchased $36,900 of inventory, obtained $1,200 of purchases allowances, and received $360 of purchases discounts. sales discounts amounted to $640. ken’s incurred $900 of transportation-in cost and $260 of transportation-out cost. selling and administrative cost amounted to $12,300. cost of goods sold amounted to $33,900.a& b. cost of goods avaliable for sale? ending inventory?