1). If the total cost function for a product is C(x) = 160(0.02x + 5)³ dollars,

where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

x = hundred units

Find the minimum average cost per hundred units.

$ =

2). If the profit function for a product is P(x) = 2000x + 35x² x³ 24,000

dollars, selling how many items, x, will produce a maximum profit?

x = items

Find the maximum profit.

3). A firm can produce only 400 units per month. The monthly total cost is given by C(x) = 300 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 250x (1/100)x²

dollars, how many items, x, should the firm produce for maximum profit?

x = items

Find the maximum profit.