The cost (in dollars) of producing x units of a certain commodity is C(x) = 4,000 + 10x + 0.1x2. (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) x = 104 $ per unit (ii) x = 101 $ per unit (b) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) $ per unit

2. the language of price controls consider the market for rental cars. suppose that, in a competitive market without government regulations, the equilibrium price of rental cars is $58 per day, and employees at car rental companies earn $19.50 per hour. complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market. statement price control effect there are many teenagers who would like to work at car rental companies, but the minimum-wage law sets the hourly wage at $23.00. the government has instituted a legal minimum price of $87 per day for rental cars. the government prohibits car rental companies from renting out rental cars for more than $87 per day.

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?

The following are budgeted data: january february march sales in units 16,200 22,400 19,200 production in units 19,200 20,200 18,700 one pound of material is required for each finished unit. the inventory of materials at the end of each month should equal 20% of the following month's production needs. purchases of raw materials for february would be budgeted to be: