Question
In: Math
1)The total profit P(x) (in thousands of dollars) from a sale of x thousand units of...
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=__
Solutions
Expert Solution
(1) (a) x=8000 units
(b) maximum profit is $ 6107
(2) x=32 units
milcah answered 1 year agoRelated Solutions
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