In: Math
1)The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by
P(x)= ln (-x3+9x2+48x+1) (0≤x≤10).
a) Find the number of units that should be sold in order to maximize the total profit.
b) What is the maximum profit?
2)Suppose that the cost function for a product is given by C(x)=0.003x3+9x+9,610.
Find the production level (i.e., value of x) that will produce the minimum average cost per unit C(x).
a)The production level that produces the minimum average cost per unit is
x=__